Details

analyze1.2s (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	81.1%	0.2%	0%	18.7%	0%	7
0%	0%	74.8%	0.2%	0%	24.9%	0%	8
0%	0%	70.1%	0.2%	0%	29.6%	0%	9
0%	0%	70.1%	0.2%	0%	29.6%	0%	10
0%	0%	70.1%	0.2%	0%	29.6%	0%	11
0%	0%	64.7%	0.2%	0%	35.1%	0%	12

Compiler

Compiled 41 to 32 computations (22% saved)

sample11.1s (19.7%)

Results

6.5s	21165×	body	256	invalid
2.8s	8256×	body	256	valid
1.7s	4973×	body	256	infinite

Bogosity

preprocess115.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

798×	`distribute-neg-frac_binary64`
778×	`associate-*r/_binary64`
664×	`fma-def_binary64`
452×	`*-commutative_binary64`
271×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	451
1	419	451
2	1543	429
3	5311	429
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4
3

Call 2

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 h d) (/.f64 1 2)) (pow.f64 (/.f64 h l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 h)) 2)) (/.f64 d l))))
(.f64 (.f64 (pow.f64 (/.f64 l h) (/.f64 1 2)) (pow.f64 (/.f64 l d) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 l)) 2)) (/.f64 h d))))
(.f64 (.f64 (pow.f64 (/.f64 M h) (/.f64 1 2)) (pow.f64 (/.f64 M l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 d D) (.f64 2 M)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 D h) (/.f64 1 2)) (pow.f64 (/.f64 D l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M d) (.f64 2 D)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d l) (/.f64 1 2)) (pow.f64 (/.f64 d h) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 l h))))
(.f64 (.f64 (pow.f64 (/.f64 d M) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 h D) (.f64 2 d)) 2)) (/.f64 M l))))
(.f64 (.f64 (pow.f64 (/.f64 d D) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M h) (.f64 2 d)) 2)) (/.f64 D l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d M) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 l D) (.f64 2 d)) 2)) (/.f64 h M))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d D) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M l) (.f64 2 d)) 2)) (/.f64 h D))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 h l))))

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 h l))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) -1/2)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 -1/2 (.f64 (pow.f64 (/.f64 M (.f64 d (/.f64 2 D))) 2) (/.f64 h l)) 1)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (pow.f64 (/.f64 M (.f64 d (/.f64 2 D))) 2) (/.f64 h l)) -1/2 1)))
(.f64 (.f64 (pow.f64 (/.f64 h d) (/.f64 1 2)) (pow.f64 (/.f64 h l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 h)) 2)) (/.f64 d l))))
(.f64 (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h l))) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 h 2)) 2) (/.f64 d l)))))
(.f64 (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h l))) (+.f64 1 (.f64 (/.f64 d l) (.f64 (pow.f64 (/.f64 M (/.f64 h (/.f64 D 2))) 2) -1/2))))
(.f64 (.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h l))) (fma.f64 (/.f64 d l) (.f64 (pow.f64 (.f64 D (/.f64 M (*.f64 h 2))) 2) -1/2) 1))
(.f64 (.f64 (pow.f64 (/.f64 l h) (/.f64 1 2)) (pow.f64 (/.f64 l d) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 l)) 2)) (/.f64 h d))))
(.f64 (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (/.f64 l d)) (-.f64 1 (.f64 (/.f64 h d) (.f64 1/2 (pow.f64 (/.f64 M (/.f64 (*.f64 2 l) D)) 2))))))
(.f64 (sqrt.f64 (/.f64 l h)) (.f64 (sqrt.f64 (/.f64 l d)) (-.f64 1 (.f64 (pow.f64 (.f64 (/.f64 D l) (/.f64 M 2)) 2) (*.f64 1/2 (/.f64 h d))))))
(.f64 (sqrt.f64 (/.f64 l d)) (.f64 (sqrt.f64 (/.f64 l h)) (fma.f64 (/.f64 h d) (*.f64 (pow.f64 (/.f64 (/.f64 M (/.f64 2 D)) l) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 M h) (/.f64 1 2)) (pow.f64 (/.f64 M l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 d D) (.f64 2 M)) 2)) (/.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 M h)) (sqrt.f64 (/.f64 M l))) (-.f64 1 (.f64 (/.f64 h l) (.f64 1/2 (pow.f64 (*.f64 (/.f64 d 2) (/.f64 D M)) 2)))))
(.f64 (sqrt.f64 (/.f64 M l)) (.f64 (sqrt.f64 (/.f64 M h)) (+.f64 1 (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 D 2)) 2) -1/2)))))
(.f64 (sqrt.f64 (/.f64 M h)) (.f64 (sqrt.f64 (/.f64 M l)) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 D (/.f64 d (*.f64 2 M))) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 D h) (/.f64 1 2)) (pow.f64 (/.f64 D l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M d) (.f64 2 D)) 2)) (/.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 D h)) (sqrt.f64 (/.f64 D l))) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 d D)) 2) (/.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 D l)) (.f64 (sqrt.f64 (/.f64 D h)) (+.f64 1 (.f64 -1/2 (.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 d D) (/.f64 M 2)) 2))))))
(.f64 (sqrt.f64 (/.f64 D l)) (.f64 (sqrt.f64 (/.f64 D h)) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (.f64 d (/.f64 M (*.f64 2 D))) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d l) (/.f64 1 2)) (pow.f64 (/.f64 d h) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 l h))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 l h))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (.f64 -1/2 (.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 l h))))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 -1/2 (.f64 (pow.f64 (/.f64 M (.f64 d (/.f64 2 D))) 2) (/.f64 l h)) 1)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (pow.f64 (/.f64 M (.f64 d (/.f64 2 D))) 2) (/.f64 l h)) -1/2 1)))
(.f64 (.f64 (pow.f64 (/.f64 d M) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 h D) (.f64 2 d)) 2)) (/.f64 M l))))
(.f64 (sqrt.f64 (/.f64 d M)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (.f64 (/.f64 M l) (.f64 1/2 (pow.f64 (*.f64 (/.f64 h 2) (/.f64 D d)) 2))))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d M)) (-.f64 1 (.f64 (.f64 (/.f64 M l) 1/2) (pow.f64 (*.f64 (/.f64 h 2) (/.f64 D d)) 2)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d M)) (fma.f64 (/.f64 M l) (.f64 (pow.f64 (.f64 D (/.f64 (/.f64 h d) 2)) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d D) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M h) (.f64 2 d)) 2)) (/.f64 D l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d D))) (-.f64 1 (.f64 (/.f64 D l) (.f64 1/2 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 h d)) 2)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d D)) (+.f64 1 (.f64 -1/2 (.f64 (/.f64 D l) (pow.f64 (*.f64 (/.f64 h d) (/.f64 M 2)) 2))))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d D)) (fma.f64 (/.f64 D l) (.f64 (pow.f64 (.f64 (/.f64 (/.f64 h d) 2) M) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d M) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 l D) (.f64 2 d)) 2)) (/.f64 h M))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d M)) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 (*.f64 (/.f64 l 2) (/.f64 D d)) 2)) (/.f64 h M)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d M)) (+.f64 1 (.f64 (/.f64 h M) (.f64 (pow.f64 (*.f64 (/.f64 l d) (/.f64 D 2)) 2) -1/2)))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d M)) (fma.f64 (/.f64 h M) (.f64 (pow.f64 (.f64 (/.f64 l d) (/.f64 D 2)) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d D) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M l) (.f64 2 d)) 2)) (/.f64 h D))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d D))) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 l d)) 2) (/.f64 h D)))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d D))) (+.f64 1 (.f64 (/.f64 h D) (.f64 (pow.f64 (*.f64 (/.f64 l d) (/.f64 M 2)) 2) -1/2))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d D)) (fma.f64 (/.f64 h D) (.f64 (pow.f64 (/.f64 l (.f64 (/.f64 d M) 2)) 2) -1/2) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 D M) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) (/.f64 h l))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 1 (.f64 (/.f64 h l) (.f64 (pow.f64 (*.f64 (/.f64 D 2) (/.f64 M d)) 2) -1/2)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 -1/2 (.f64 (pow.f64 (/.f64 M (.f64 d (/.f64 2 D))) 2) (/.f64 h l)) 1)))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (.f64 (pow.f64 (/.f64 M (.f64 d (/.f64 2 D))) 2) (/.f64 h l)) -1/2 1)))

Symmetry

(sort M D)

Compiler

Compiled 45 to 36 computations (20% saved)

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

735×	`distribute-rgt-neg-in_binary64`
679×	`distribute-neg-frac_binary64`
466×	`fma-def_binary64`
425×	`associate-/l*_binary64`
389×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	41
1	62	41
2	195	39
3	1301	39
4	5063	39

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))

Outputs
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l)))))
(.f64 (sqrt.f64 (/.f64 d l)) (.f64 (sqrt.f64 (/.f64 d h)) (-.f64 1 (.f64 1/2 (.f64 (pow.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) 2) (/.f64 h l))))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 h l) (.f64 (pow.f64 (/.f64 (.f64 (/.f64 D 2) M) d) 2) -1/2) 1)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (pow.f64 (.f64 D (/.f64 M (.f64 d 2))) 2) (*.f64 (/.f64 h l) -1/2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))

eval1.0ms (0%)

Compiler: Compiled 66 to 45 computations (31.8% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

26.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
▶	27.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))

Status

Error

Program

▶

26.7b

(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (*.f64 (*.f64 (/.f64 1 2) (pow.f64 (/.f64 (*.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))

▶

27.5b

(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))

Compiler

Compiled 71 to 53 computations (25.4% saved)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.9b	(/.f64 (/.f64 D d) (/.f64 2 M))
✓	11.1b	(sqrt.f64 (/.f64 d h))
✓	11.1b	(sqrt.f64 (/.f64 d l))
✓	12.3b	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)

Compiler

Compiled 120 to 56 computations (53.3% saved)

series38.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	h	@	-inf	(sqrt.f64 (/.f64 d h))
2.0ms	h	@	inf	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)
2.0ms	M	@	inf	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)
2.0ms	D	@	0	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)
1.0ms	d	@	inf	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)

rewrite96.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

370×	`log-div_binary64`
366×	`log1p-udef_binary64`
365×	`expm1-udef_binary64`
318×	`log-pow_binary64`
211×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	433	45
2	5740	45

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 d h))
(/.f64 (/.f64 D d) (/.f64 2 M))

Outputs
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simplify229.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1461×	`associate-/l/_binary64`
1317×	`associate-/r/_binary64`
680×	`unswap-sqr_binary64`
355×	`*-commutative_binary64`
215×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	1827
1	85	1737
2	259	1737
3	1587	1737
4	3508	1737
5	3883	1737
6	4994	1737
7	5076	1737
8	5175	1737
9	5301	1737
10	7264	1737

Stop Event

1×	node limit

Counts

235 → 150

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 (pow.f64 d 2) l))))
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(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l)))
(.f64 (/.f64 -1/8 l) (.f64 (/.f64 (.f64 D (.f64 D (*.f64 M M))) d) (/.f64 h d)))
(.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (*.f64 (/.f64 M (/.f64 l M)) h)))
(.f64 -1/8 (.f64 D (.f64 (/.f64 D (.f64 (/.f64 d h) (.f64 d l))) (.f64 M M))))
(.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
1
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
1
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(+.f64 1 (.f64 -1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l))))
(+.f64 1 (.f64 -1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 h (.f64 M M)) l))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D d) (/.f64 D d)) (/.f64 h (/.f64 l (*.f64 M M)))) 1)
(fma.f64 -1/8 (.f64 (.f64 (/.f64 D (.f64 d d)) D) (.f64 (/.f64 M (/.f64 l M)) h)) 1)
(fma.f64 (.f64 (/.f64 D (.f64 d d)) (.f64 D h)) (.f64 (/.f64 -1/8 (/.f64 l M)) M) 1)
(fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (*.f64 D M) (/.f64 d 1/2))
(.f64 M (/.f64 (.f64 D 1/2) d))
(.f64 1/2 (.f64 D (/.f64 M d)))

localize100.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
✓	11.1b	(pow.f64 (/.f64 d h) (/.f64 1 2))
✓	11.1b	(pow.f64 (/.f64 d l) (/.f64 1 2))
✓	16.0b	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))

Compiler

Compiled 159 to 94 computations (40.9% saved)

series171.0ms (0.3%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
141.0ms	h	@	-inf	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))
5.0ms	M	@	0	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))
2.0ms	h	@	0	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))
2.0ms	l	@	0	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))
2.0ms	D	@	0	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))

rewrite149.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

358×	`expm1-udef_binary64`
358×	`log1p-udef_binary64`
313×	`log-pow_binary64`
284×	`log-div_binary64`
207×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	44
1	434	44
2	5647	44

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))
(pow.f64 (/.f64 d l) (/.f64 1 2))
(pow.f64 (/.f64 d h) (/.f64 1 2))
(/.f64 (.f64 M D) (.f64 2 d))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 d l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 d l)) (cbrt.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 d l))) (cbrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 d) (pow.f64 (/.f64 1 l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 d l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 d l)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 d l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 d h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 d h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 d h))) (cbrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 d) (pow.f64 (/.f64 1 h) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 d h) 1/4) (pow.f64 (/.f64 d h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 d h)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 d h)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 d h)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d h))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d h) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 M 2) (/.f64 D d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 M 2) (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 M D) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 M (/.f64 1 (/.f64 2 (/.f64 D d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 M (.f64 D (/.f64 1/2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 D (.f64 M (/.f64 1/2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 M D) (/.f64 1/2 d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 M 2) (/.f64 D d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))) (pow.f64 (cbrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))) 2) (cbrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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egg-rr> (2) ((x .f64 (/.f64 D 1) (/.f64 M (.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 M (.f64 2 d)) D)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 M D)) 2) 1) (/.f64 (cbrt.f64 (.f64 M D)) (.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 M D)) 1) (/.f64 (sqrt.f64 (.f64 M D)) (.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 D 2) (/.f64 M d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 M d) (/.f64 D 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 M D)) 2) 2) (/.f64 (cbrt.f64 (.f64 M D)) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 M D)) 2) (/.f64 (sqrt.f64 (.f64 M D)) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 M D)) d) (/.f64 (sqrt.f64 (.f64 M D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 d) (/.f64 D (/.f64 2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 M D)) 2) d) (/.f64 (cbrt.f64 (.f64 M D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 d)) 2)) (/.f64 (.f64 M D) (cbrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 M (pow.f64 (cbrt.f64 (.f64 2 d)) 2)) (/.f64 D (cbrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 D (pow.f64 (cbrt.f64 (.f64 2 d)) 2)) (/.f64 M (cbrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 M D)) 2) (pow.f64 (cbrt.f64 (.f64 2 d)) 2)) (cbrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 M D)) (pow.f64 (cbrt.f64 (.f64 2 d)) 2)) (/.f64 (sqrt.f64 (.f64 M D)) (cbrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 2 d))) (/.f64 (.f64 M D) (sqrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 M (sqrt.f64 (.f64 2 d))) (/.f64 D (sqrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 D (sqrt.f64 (.f64 2 d))) (/.f64 M (sqrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 M D)) 2) (sqrt.f64 (.f64 2 d))) (/.f64 (cbrt.f64 (.f64 M D)) (sqrt.f64 (.f64 2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 M 2) (/.f64 D d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 d D) (/.f64 2 M)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 M D) (.f64 d -2)))))) (#(struct:change #<rule egg-rr> (2) 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simplify399.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1471×	`associate-/l/_binary64`
1325×	`associate-/r/_binary64`
680×	`unswap-sqr_binary64`
351×	`*-commutative_binary64`
215×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	1860
1	77	1860
2	251	1860
3	1567	1860
4	3464	1860
5	3740	1860
6	4851	1860
7	4933	1860
8	5032	1860
9	5158	1860
10	7122	1860

Stop Event

1×	node limit

Counts

223 → 133

Calls

Call 1

Inputs
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
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(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))

eval414.0ms (0.7%)

Compiler: Compiled 9554 to 5274 computations (44.8% saved)

prune278.0ms (0.5%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	253	30	283
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	255	30	285

Error

10.2b

Counts

285 → 30

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.5b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	26.9b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (cbrt.f64 (/.f64 d l)) (cbrt.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
▶	25.0b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	43.5b	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	27.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	43.5b	(.f64 (.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
	27.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
	29.1b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
	43.1b	(.f64 (.f64 (sqrt.f64 d) (/.f64 1 (sqrt.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1)))
	25.5b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
	26.7b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 1/2 (/.f64 (.f64 D M) d)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	41.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	44.8b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (.f64 (sqrt.f64 d) (/.f64 1 (sqrt.f64 l))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1)))
	34.0b	(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
▶	34.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	41.7b	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	42.6b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	44.5b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	26.8b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
▶	25.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	26.9b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
▶	32.2b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	26.8b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
	26.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	26.9b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
	43.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	43.1b	(.f64 (/.f64 1 (/.f64 (sqrt.f64 h) (sqrt.f64 d))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	44.5b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
	57.0b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
	29.8b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))

Compiler

Compiled 2202 to 1634 computations (25.8% saved)

localize329.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 (/.f64 M 2) (/.f64 D d))
	11.1b	(pow.f64 (/.f64 d h) (/.f64 1 2))
	11.1b	(pow.f64 (/.f64 d l) (/.f64 1 2))
✓	14.2b	(sqrt.f64 (/.f64 h l))

Compiler

Compiled 169 to 94 computations (44.4% saved)

series150.0ms (0.3%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
143.0ms	M	@	0	(*.f64 (/.f64 M 2) (/.f64 D d))
1.0ms	l	@	0	(sqrt.f64 (/.f64 h l))
1.0ms	l	@	-inf	(sqrt.f64 (/.f64 h l))
1.0ms	h	@	0	(sqrt.f64 (/.f64 h l))
1.0ms	h	@	-inf	(sqrt.f64 (/.f64 h l))

rewrite66.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
346×	`pow2_binary64`
245×	`pow1/3_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	263	16
2	3567	16

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 h l))
(*.f64 (/.f64 M 2) (/.f64 D d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 h l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 h l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 h l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 h l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 h l) 1/6) (cbrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 h l)) (pow.f64 (/.f64 h l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 h l) 1/4) (pow.f64 (/.f64 h l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 h) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 h l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 h l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l h) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 h l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l h) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l h)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 h)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 h l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 h l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h l))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 M 1/2) (/.f64 d D)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) (/.f64 D d))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) (/.f64 D d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) (/.f64 D d)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) (/.f64 D d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 M (*.f64 2 (/.f64 d D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 M (*.f64 (/.f64 d D) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 M (/.f64 (*.f64 2 d) D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 M (/.f64 2 (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 M 1/2) (/.f64 d D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 D (*.f64 (/.f64 2 M) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 D (*.f64 d (/.f64 2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 D d) (/.f64 2 M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 2 M) (/.f64 d D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 d D) (/.f64 2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 2 d) (*.f64 M D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 M (/.f64 D d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 d (*.f64 M (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 D) (*.f64 (/.f64 2 M) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 M) (*.f64 (/.f64 d D) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 M D) (*.f64 2 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 M (/.f64 D d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 M (*.f64 1/2 D)) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 2 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 M (/.f64 D d))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 M (*.f64 1/2 D))) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 M) 1) (*.f64 -2 (/.f64 d D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 M) D) (*.f64 -2 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 M (neg.f64 D)) (*.f64 2 (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 M) (neg.f64 D)) (*.f64 -2 (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 D) M) (*.f64 (neg.f64 d) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 D) 1) (*.f64 (neg.f64 d) (/.f64 2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 D (neg.f64 M)) (*.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 D) (neg.f64 M)) (*.f64 (neg.f64 d) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M (*.f64 1/2 D)) 1) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M (*.f64 1/2 D)) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M (*.f64 1/2 D)) (sqrt.f64 d)) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 M) (/.f64 D d)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 D) (*.f64 M 1/2)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 M 1/2) (neg.f64 D)) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 D d) (neg.f64 M)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 M 1/2) 3) (pow.f64 (/.f64 D d) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 D d) 3) (pow.f64 (*.f64 M 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 2 M) (/.f64 d D)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d D) (/.f64 2 M)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 d) (*.f64 M D)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 M (/.f64 D d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (*.f64 M (*.f64 1/2 D))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) (/.f64 D d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 M 1/2) 3) (pow.f64 (/.f64 D d) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 D d) 3) (pow.f64 (*.f64 M 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M 1/2) (/.f64 d D))) 1))))))

simplify20.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

134 → 100

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))

Outputs
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)

localize17.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	11.1b	(sqrt.f64 (/.f64 d h))
	11.1b	(sqrt.f64 (/.f64 d l))

Compiler

Compiled 40 to 15 computations (62.5% saved)

series9.0ms (0%)

Counts

1 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	d	@	0	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
1.0ms	d	@	-inf	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
1.0ms	l	@	inf	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
1.0ms	h	@	-inf	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
1.0ms	l	@	0	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
452×	`prod-exp_binary64`
368×	`exp-prod_binary64`
358×	`pow-prod-down_binary64`
251×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	225	11
2	2586	10

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (pow.f64 (*.f64 h l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (pow.f64 (*.f64 l h) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 d (/.f64 d l)) 1/2) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 d (/.f64 d h)) 1/2) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))) 2)) (cbrt.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))) (sqrt.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 d h)) 1/2) (log.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1) (log.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (log.f64 (/.f64 d l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 d h)) 1/2) (*.f64 (log.f64 (/.f64 d l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1) (*.f64 (log.f64 (/.f64 d l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 d h)) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2) (log.f64 (sqrt.f64 (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1) (log.f64 (sqrt.f64 (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 d l))) (*.f64 (log.f64 (/.f64 d h)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2) (*.f64 (log.f64 (/.f64 d h)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1) (*.f64 (log.f64 (/.f64 d h)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 d l))) (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 d h))) 1)))))))

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

899×	`fma-def_binary64`
448×	`cube-prod_binary64`
388×	`distribute-rgt-neg-in_binary64`
388×	`fma-neg_binary64`
329×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	144
1	33	144
2	82	144
3	189	144
4	719	144
5	1555	144
6	2581	144
7	3729	144
8	4871	144
9	6786	144

Stop Event

1×

unsound

Counts

59 → 50

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))

Outputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)

localize101.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
✓	10.8b	(sqrt.f64 (/.f64 h d))
	11.1b	(pow.f64 (/.f64 d l) (/.f64 1 2))
	16.0b	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))

Compiler

Compiled 160 to 89 computations (44.4% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	h	@	0	(sqrt.f64 (/.f64 h d))
1.0ms	h	@	-inf	(sqrt.f64 (/.f64 h d))
1.0ms	d	@	-inf	(sqrt.f64 (/.f64 h d))
1.0ms	d	@	inf	(sqrt.f64 (/.f64 h d))
1.0ms	h	@	inf	(sqrt.f64 (/.f64 h d))

rewrite50.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
520×	`add-sqr-sqrt_binary64`
505×	`add-log-exp_binary64`
505×	`log1p-expm1-u_binary64`
505×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1371	6

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 h d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 h d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 h d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 h d))) (cbrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 h d)) (cbrt.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 h d) 1/4) (pow.f64 (/.f64 h d) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (sqrt.f64 (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (pow.f64 (/.f64 1 d) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (/.f64 1 (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 h d)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 h d)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 h d)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 h) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 h d) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 h d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h d) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 h d))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 h d) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 h d)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 h d) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 h d))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 h d))))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

28 → 28

Calls

Call 1

Inputs

Outputs

localize307.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
	11.1b	(pow.f64 (/.f64 d h) (/.f64 1 2))
	16.0b	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))
✓	22.7b	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))

Compiler

Compiled 162 to 94 computations (42% saved)

series6.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	d	@	0	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
1.0ms	d	@	-inf	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
1.0ms	l	@	-inf	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
1.0ms	l	@	inf	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
1.0ms	d	@	inf	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`pow1_binary64`
646×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
630×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	149	6
2	1834	6

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 d l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 d l))) (cbrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d l)) (cbrt.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 d l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/4) 1/3) (pow.f64 (pow.f64 (/.f64 d l) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 d l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 d l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))))

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

24 → 24

Calls

Call 1

Inputs

Outputs

localize185.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.9b	(/.f64 (/.f64 D d) (/.f64 2 M))
	11.1b	(sqrt.f64 (/.f64 d h))
	12.3b	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)
	22.7b	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))

Compiler

Compiled 132 to 67 computations (49.2% saved)

eval809.0ms (1.4%)

Compiler: Compiled 21516 to 12248 computations (43.1% saved)

prune291.0ms (0.5%)

Pruning

57 alts after pruning (56 fresh and 1 done)

	Pruned	Kept	Total
New	627	46	673
Fresh	15	10	25
Picked	1	0	1
Done	3	1	4
Total	646	57	703

Error

6.5b

Counts

703 → 57

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.1b	(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
	44.0b	(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
	44.6b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
	28.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
	43.5b	(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	45.5b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	29.1b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
	25.0b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) (sqrt.f64 1/2))) 2)))
	27.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
	26.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	43.9b	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	40.6b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	41.1b	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
	32.6b	(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	25.2b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	45.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	40.7b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
	50.6b	(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
	43.6b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	26.7b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 1/2 (/.f64 (.f64 D M) d)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	26.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
▶	24.2b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	25.3b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	50.9b	(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
	33.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	24.9b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 l h))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	60.5b	(.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	32.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
	41.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	25.0b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	26.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	45.6b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
	24.2b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	59.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d l)))) 1))
	55.3b	(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
▶	44.9b	(/.f64 d (pow.f64 (*.f64 l h) 1/2))
	32.4b	(.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (*.f64 (sqrt.f64 (/.f64 d l)) 1))
▶	25.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	41.2b	(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	57.0b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
	39.2b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
	39.6b	(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
	31.3b	(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	29.8b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
	39.8b	(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	32.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
	26.9b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
✓	32.2b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	34.0b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
	24.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
	45.7b	(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
	45.6b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
	26.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	39.6b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
▶	43.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	60.9b	(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))

Compiler

Compiled 3170 to 2392 computations (24.5% saved)

localize92.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.8b	(*.f64 (/.f64 M 2) (/.f64 D d))
	10.8b	(sqrt.f64 (/.f64 h d))
	11.1b	(pow.f64 (/.f64 d l) (/.f64 1 2))
	14.2b	(sqrt.f64 (/.f64 h l))

Compiler

Compiled 170 to 89 computations (47.6% saved)

localize29.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 d (pow.f64 (*.f64 l h) 1/2))
✓	15.9b	(pow.f64 (*.f64 l h) 1/2)

Compiler

Compiled 24 to 12 computations (50% saved)

series16.0ms (0%)

Counts

2 → 12

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	d	@	0	(/.f64 d (pow.f64 (*.f64 l h) 1/2))
1.0ms	h	@	0	(pow.f64 (*.f64 l h) 1/2)
1.0ms	l	@	0	(pow.f64 (*.f64 l h) 1/2)
1.0ms	l	@	-inf	(/.f64 d (pow.f64 (*.f64 l h) 1/2))
1.0ms	h	@	-inf	(/.f64 d (pow.f64 (*.f64 l h) 1/2))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	173	15
2	2144	15

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (*.f64 l h) 1/2)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) (cbrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l h)) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) 1/4) (pow.f64 (*.f64 l h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 l h)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 l h))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l h) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (/.f64 d (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 l h))) (/.f64 (sqrt.f64 d) (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 l h) 1/4)) (/.f64 d (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (*.f64 l h) 1/4)) (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (*.f64 l h) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))))

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	144
1	15	144
2	17	144

Stop Event

1×

saturated

Counts

64 → 53

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)

Outputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 d (pow.f64 (*.f64 h l) 1/2))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
✓	4.0b	(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))
✓	15.9b	(pow.f64 (*.f64 h l) 1/2)

Compiler

Compiled 43 to 23 computations (46.5% saved)

series149.0ms (0.3%)

Counts

4 → 60

Calls

33 calls:

Time	Variable		Point	Expression
58.0ms	h	@	0	(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))
25.0ms	l	@	-inf	(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))
15.0ms	l	@	0	(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))
12.0ms	h	@	inf	(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))
7.0ms	l	@	inf	(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))

rewrite93.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
383×	`prod-exp_binary64`
348×	`exp-prod_binary64`
308×	`pow-prod-down_binary64`
256×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	241	35
2	2646	35

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

Inputs
(pow.f64 (*.f64 h l) 1/2)
(cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)))
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(/.f64 d (pow.f64 (*.f64 h l) 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 h l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 h l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 h l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 h l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 h l) 1/6) (cbrt.f64 (.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 h l)) (pow.f64 (.f64 h l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 h) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 l) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 h l) 1/4) (pow.f64 (.f64 h l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 h l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 h l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 h l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (.f64 h l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 h l))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 h l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/4 (log.f64 (.f64 h l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 h l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (.f64 h l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 h l)) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 h) 1/2) (log.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 h)) (.f64 (log.f64 l) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 h) 1/2) (.f64 (log.f64 l) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 l) 1/2) (log.f64 (sqrt.f64 h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 l)) (.f64 (log.f64 h) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 l) 1/2) (.f64 (log.f64 h) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 h l)) 1/4) (.f64 1/4 (log.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 1/4 (log.f64 (.f64 h l))) (.f64 (log.f64 (.f64 h l)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 h l)) 1/4) (.f64 (log.f64 (*.f64 h l)) 1/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (cbrt.f64 (cbrt.f64 (/.f64 (.f64 d d) (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 (.f64 d d) (.f64 h l)))) (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 d) (pow.f64 (.f64 h l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) 1/6) (pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 h l)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (.f64 h l) 1/6) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 d) (pow.f64 (.f64 h l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 d)) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 d)) (neg.f64 (pow.f64 (.f64 h l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 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(.f64 h l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 d d) (.f64 h l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 h l)) d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 d 3) (pow.f64 (.f64 h l) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 h l)) d) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 2)) (cbrt.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))) (sqrt.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 d d) (.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 d (sqrt.f64 (.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (.f64 h l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (.f64 h l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 h l)) d)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 d) 1) (log.f64 (sqrt.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 d) (.f64 (log.f64 (sqrt.f64 (.f64 h l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 d) 1) (.f64 (log.f64 (sqrt.f64 (.f64 h l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 d) 1) (.f64 -1/2 (log.f64 (.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 1/3) (.f64 2/3 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 1) (.f64 2/3 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (.f64 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2/3 (log.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 3/2) (log.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 3/2) (.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (.f64 h l))))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 -1/2 (log.f64 (.f64 h l))) (*.f64 (log.f64 d) 1)))))))

simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-def_binary64`
302×	`associate-+l-_binary64`
269×	`*-commutative_binary64`
253×	`associate-/l*_binary64`
232×	`associate-+r-_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	1312
1	196	1224
2	446	1016
3	1535	968
4	3207	848

Stop Event

1×	node limit

Counts

286 → 184

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 -1) (.f64 1 d)) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))))
(.f64 (pow.f64 1 1/3) (.f64 d (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 d (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 d (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))) 3)))
(.f64 (pow.f64 1 1/3) (.f64 d (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))) 3)))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (sqrt.f64 -1) d)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (sqrt.f64 -1) d)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (sqrt.f64 -1) d)) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (sqrt.f64 -1) d)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)

Outputs
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (cbrt.f64 d) (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))))
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))))
(.f64 (cbrt.f64 d) (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)))
(.f64 (cbrt.f64 d) (pow.f64 (.f64 l h) -1/6))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (cbrt.f64 d) (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))))
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))))
(.f64 (cbrt.f64 d) (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)))
(.f64 (cbrt.f64 d) (pow.f64 (.f64 l h) -1/6))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (cbrt.f64 d) (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))))
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))))
(.f64 (cbrt.f64 d) (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)))
(.f64 (cbrt.f64 d) (pow.f64 (.f64 l h) -1/6))
(.f64 (pow.f64 (.f64 1 d) 1/3) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (.f64 -1 (log.f64 h))))))
(.f64 (cbrt.f64 d) (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))))
(*.f64 (cbrt.f64 d) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))))
(.f64 (cbrt.f64 d) (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)))
(.f64 (cbrt.f64 d) (pow.f64 (.f64 l h) -1/6))
(.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) (pow.f64 (*.f64 1 d) 1/3))
(.f64 (cbrt.f64 d) (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))))
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(.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/2) (*.f64 d (sqrt.f64 -1)))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (sqrt.f64 -1) d)) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (neg.f64 (log.f64 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (.f64 d (sqrt.f64 -1)) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 h)) (log.f64 l))) 3) (.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/6) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/2) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (pow.f64 1 1/3) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 1 h))))) 3) d))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 1 h))))) 3) d) (pow.f64 1 1/3))
(.f64 d (pow.f64 (exp.f64 (.f64 1/6 (fma.f64 -1 (log.f64 l) (neg.f64 (log.f64 h))))) 3))
(*.f64 d (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 l)) (log.f64 h))) 3))
(.f64 d (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 h -1/6)) 3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (neg.f64 (log.f64 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (.f64 d (sqrt.f64 -1)) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 h)) (log.f64 l))) 3) (.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/6) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/2) (*.f64 d (sqrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (neg.f64 (log.f64 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (.f64 d (sqrt.f64 -1)) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 h)) (log.f64 l))) 3) (.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/6) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/2) (*.f64 d (sqrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (neg.f64 (log.f64 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (.f64 d (sqrt.f64 -1)) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 h)) (log.f64 l))) 3) (.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/6) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/2) (*.f64 d (sqrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (/.f64 1 h))))) 3) d)) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (neg.f64 (log.f64 l)) (log.f64 (/.f64 -1 h))))) 3) (.f64 (.f64 d (sqrt.f64 -1)) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (/.f64 -1 h)) (log.f64 l))) 3) (.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/6) 3) (*.f64 d (sqrt.f64 -1)))
(.f64 (pow.f64 (/.f64 -1 (.f64 l h)) 1/2) (*.f64 d (sqrt.f64 -1)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h)))

localize94.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.3b	(/.f64 (.f64 M D) (.f64 2 d))
	10.8b	(sqrt.f64 (/.f64 h d))
	11.1b	(sqrt.f64 (/.f64 d l))
	16.0b	(.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))

Compiler

Compiled 151 to 78 computations (48.3% saved)

localize96.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.7b	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))
	6.9b	(/.f64 (/.f64 D d) (/.f64 2 M))
	11.1b	(sqrt.f64 (/.f64 d l))
	12.3b	(fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)

Compiler

Compiled 123 to 57 computations (53.7% saved)

series27.0ms (0%)

Counts

1 → 36

Calls

15 calls:

Time	Variable		Point	Expression
11.0ms	h	@	inf	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))
3.0ms	l	@	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))
1.0ms	d	@	0	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))
1.0ms	l	@	-inf	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))
1.0ms	d	@	-inf	(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

350×	`log1p-udef_binary64`
349×	`expm1-udef_binary64`
328×	`pow3_binary64`
311×	`log-div_binary64`
299×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	409	31
2	5408	31

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2))) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 d) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) (sqrt.f64 d)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (*.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) (sqrt.f64 (*.f64 (/.f64 h l) -1/2)))) (pow.f64 (/.f64 d l) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 d l) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 d l))) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 d l) 3/2) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) 3) (pow.f64 (/.f64 d l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 (/.f64 d l)) (log1p.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (/.f64 d l)) (log1p.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (*.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2)) (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l)))))))

simplify259.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1073×	`unswap-sqr_binary64`
672×	`sqr-pow_binary64`
569×	`associate-/l/_binary64`
507×	`*-commutative_binary64`
466×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	1269
1	96	1269
2	225	1269
3	819	1269
4	1579	1269
5	3229	1269
6	3299	1269
7	3400	1269
8	3525	1269
9	3679	1269
10	3880	1269
11	4269	1269
12	4541	1269
13	4852	1269
14	5200	1269
15	5571	1269
16	5979	1269
17	6159	1269
18	6255	1269
19	6323	1269
20	6371	1269

Stop Event

1×	node limit

Counts

57 → 32

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 d l))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
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(.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 l 3) (pow.f64 d 3))))))
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(.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 l 3) (pow.f64 d 3))))))
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(sqrt.f64 (/.f64 d l))
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(sqrt.f64 (/.f64 d l))
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(.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 l 3) (pow.f64 d 3))))))
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(.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3))))))
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Outputs
(sqrt.f64 (/.f64 d l))
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(.f64 -1/8 (.f64 D (.f64 D (.f64 (.f64 M M) (.f64 h (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3)))))))))
(.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))) (*.f64 D D))))
(.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 D D) (.f64 h (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3))))))))
(.f64 -1/8 (.f64 (.f64 D D) (.f64 M (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))) (*.f64 h M)))))
(.f64 D (.f64 D (.f64 -1/8 (.f64 M (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))) (*.f64 h M))))))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 D (.f64 D (.f64 (.f64 M M) (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))) (.f64 D D))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 D D) (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 D D) (.f64 M (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))) (.f64 h M)))) (sqrt.f64 (/.f64 d l)))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 D (.f64 D (.f64 (.f64 M M) (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))) (.f64 D D))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 D D) (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 D D) (.f64 M (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))) (.f64 h M)))) (sqrt.f64 (/.f64 d l)))
(+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 D D) (.f64 (.f64 h (.f64 M M)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 D (.f64 D (.f64 (.f64 M M) (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))) (.f64 D D))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 M M) (.f64 (.f64 D D) (.f64 h (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3))))))) (sqrt.f64 (/.f64 d l)))
(fma.f64 -1/8 (.f64 (.f64 D D) (.f64 M (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 d 3) (pow.f64 l 3)))) (.f64 h M)))) (sqrt.f64 (/.f64 d l)))

eval838.0ms (1.5%)

Compiler: Compiled 18337 to 9342 computations (49.1% saved)

prune609.0ms (1.1%)

Pruning

72 alts after pruning (70 fresh and 2 done)

	Pruned	Kept	Total
New	645	40	685
Fresh	21	30	51
Picked	0	1	1
Done	4	1	5
Total	670	72	742

Error

6.2b

Counts

742 → 72

Alt Table

Click to see full alt table

Status	Error	Program
	44.0b	(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
	44.6b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
	47.1b	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
	39.6b	(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	28.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
	46.2b	(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
	44.9b	(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
	31.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	24.2b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	29.1b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
▶	23.3b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	27.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
	42.0b	(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
	43.9b	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	41.1b	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
	32.6b	(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	41.2b	(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	45.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
▶	40.7b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
	44.9b	(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
	50.6b	(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
	45.1b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
	26.7b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 1/2 (/.f64 (.f64 D M) d)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	45.1b	(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
	26.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	49.7b	(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
	25.3b	(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	41.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) (sqrt.f64 d)) (sqrt.f64 l)))
▶	33.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	60.5b	(.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	26.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
	32.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
	41.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	46.1b	(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 h l) 1/6)) 3)))) 3)
	24.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
	44.8b	(.f64 (pow.f64 (.f64 l h) -1/2) d)
▶	50.0b	(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
	24.2b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	52.6b	(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
	24.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) (sqrt.f64 1/2))) 2)))
	59.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d l)))) 1))
	45.4b	(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
	24.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	46.1b	(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 h l))) 1/3)))) 3)
	48.1b	(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
	24.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 l h))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	57.0b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
	39.2b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
	43.2b	(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
	60.6b	(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
	43.3b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	43.3b	(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
	43.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
	39.6b	(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
	43.6b	(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
	31.3b	(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	29.8b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
	26.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	40.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	39.8b	(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	60.9b	(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	32.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
▶	44.9b	(/.f64 d (sqrt.f64 (*.f64 l h)))
	26.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	46.2b	(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
	44.9b	(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
	26.9b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
✓	32.2b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	49.1b	(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
	26.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	39.6b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
✓	43.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))

Compiler

Compiled 3610 to 2721 computations (24.6% saved)

localize125.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (.f64 M (.f64 1/2 D)) d)
	10.8b	(sqrt.f64 (/.f64 h d))
	11.1b	(pow.f64 (/.f64 d l) (/.f64 1 2))
	14.2b	(sqrt.f64 (/.f64 h l))

Compiler

Compiled 172 to 97 computations (43.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	M	@	0	(/.f64 (.f64 M (.f64 1/2 D)) d)
0.0ms	D	@	-inf	(/.f64 (.f64 M (.f64 1/2 D)) d)
0.0ms	M	@	inf	(/.f64 (.f64 M (.f64 1/2 D)) d)
0.0ms	M	@	-inf	(/.f64 (.f64 M (.f64 1/2 D)) d)
0.0ms	D	@	inf	(/.f64 (.f64 M (.f64 1/2 D)) d)

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
856×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
839×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	168	10
2	2244	10

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(/.f64 (.f64 M (.f64 1/2 D)) d)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 M d) (*.f64 1/2 D))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 M (/.f64 1 (*.f64 2 (/.f64 d D))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 M (*.f64 (*.f64 1/2 D) (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 D) (*.f64 M (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 M (*.f64 1/2 D)) (/.f64 1 d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 M d) (*.f64 1/2 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))) 2) (cbrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) 2) (*.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))) (sqrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 M (*.f64 1/2 D))) (*.f64 (sqrt.f64 (*.f64 M (*.f64 1/2 D))) (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 D) (neg.f64 M)) (/.f64 1 (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 d) (*.f64 M (*.f64 1/2 D)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 M 1/2) (*.f64 D (/.f64 1 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M 1) (/.f64 (*.f64 1/2 D) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 D) 1) (/.f64 M d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M d) (*.f64 1/2 D))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) 2) 1) (/.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 M (*.f64 1/2 D))) 1) (/.f64 (sqrt.f64 (*.f64 M (*.f64 1/2 D))) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 M 1/2) 1) (/.f64 D d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M (pow.f64 (cbrt.f64 d) 2)) (/.f64 (*.f64 1/2 D) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 D) (pow.f64 (cbrt.f64 d) 2)) (/.f64 M (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 d) 2)) (/.f64 (*.f64 M (*.f64 1/2 D)) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) 2) (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 M (*.f64 1/2 D))) (pow.f64 (cbrt.f64 d) 2)) (/.f64 (sqrt.f64 (*.f64 M (*.f64 1/2 D))) (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 M 1/2) (pow.f64 (cbrt.f64 d) 2)) (/.f64 D (cbrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 M (sqrt.f64 d)) (/.f64 (*.f64 1/2 D) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 D) (sqrt.f64 d)) (/.f64 M (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 d)) (/.f64 (*.f64 M (*.f64 1/2 D)) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) 2) (sqrt.f64 d)) (/.f64 (cbrt.f64 (*.f64 M (*.f64 1/2 D))) (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 M 1/2) (sqrt.f64 d)) (/.f64 D (sqrt.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 d M) (*.f64 1/2 D)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 M (*.f64 1/2 D)) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 M (*.f64 1/2 D)) 3) (pow.f64 d 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 M d) (*.f64 1/2 D))))))))

simplify22.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`
8×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	14	360
2	29	360
3	56	360
4	86	360
5	97	360

Stop Event

1×

saturated

Counts

81 → 47

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))

Outputs
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)
(.f64 1/2 (/.f64 (.f64 D M) d))
(*.f64 1/2 (/.f64 D (/.f64 d M)))
(/.f64 (.f64 (.f64 1/2 D) M) d)
(.f64 (/.f64 D d) (.f64 1/2 M))
(/.f64 M (/.f64 d (*.f64 1/2 D)))
(/.f64 (.f64 D (.f64 1/2 M)) d)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 d (sqrt.f64 (*.f64 l h)))
✓	15.9b	(sqrt.f64 (*.f64 l h))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series8.0ms (0%)

Counts

2 → 12

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	-inf	(/.f64 d (sqrt.f64 (*.f64 l h)))
1.0ms	l	@	-inf	(sqrt.f64 (*.f64 l h))
1.0ms	h	@	-inf	(/.f64 d (sqrt.f64 (*.f64 l h)))
1.0ms	h	@	-inf	(sqrt.f64 (*.f64 l h))
1.0ms	l	@	0	(sqrt.f64 (*.f64 l h))

rewrite101.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
688×	`add-log-exp_binary64`
688×	`log1p-expm1-u_binary64`
688×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1860	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 l h))
(/.f64 d (sqrt.f64 (*.f64 l h)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) (cbrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l h)) (cbrt.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 h) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) 1/4) (pow.f64 (*.f64 l h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l h)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 l h)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l h) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l h)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 l h))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l h) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l h) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l h))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (pow.f64 (*.f64 l h) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) (pow.f64 (*.f64 l h) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 d) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l h) -1/2) d)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) 1) (/.f64 (cbrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) 1) (/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 l h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l h))) (/.f64 d (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 (*.f64 l h))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (cbrt.f64 (*.f64 l h))) (/.f64 (sqrt.f64 d) (cbrt.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 l h) 1/4)) (/.f64 d (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (pow.f64 (*.f64 l h) 1/4)) (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 l h) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 d) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 3) (pow.f64 (*.f64 l h) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))))

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	144
1	15	144
2	17	144

Stop Event

1×

saturated

Counts

68 → 57

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)

Outputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)

localize21.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
✓	14.4b	(/.f64 (.f64 d d) (.f64 h l))
✓	31.2b	(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6)

Compiler

Compiled 43 to 16 computations (62.8% saved)

series275.0ms (0.5%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
86.0ms	h	@	0	(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
43.0ms	d	@	0	(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6)
26.0ms	l	@	-inf	(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6)
24.0ms	l	@	inf	(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6)
22.0ms	l	@	0	(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6)

rewrite87.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary64`
345×	`pow-prod-down_binary64`
290×	`pow2_binary64`
227×	`pow-unpow_binary64`
207×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	247	30
2	3153	30

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs
(pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6)
(/.f64 (.f64 d d) (.f64 h l))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 1/6) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 4)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1/12) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 d h) (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (/.f64 1 (/.f64 h (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (*.f64 d (/.f64 (/.f64 1 l) h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d d) (/.f64 (/.f64 1 l) h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 d h) (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 d) d) (*.f64 (pow.f64 (cbrt.f64 d) 2) (/.f64 (/.f64 1 l) h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 4) (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 d (neg.f64 d)) (/.f64 1 (*.f64 h (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d h) (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d l) (/.f64 d h))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 l) h) (*.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (/.f64 h d)) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 3/2) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 h l) -1/2) (/.f64 (*.f64 d d) (sqrt.f64 (*.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d 1) (/.f64 d (*.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 d) d) 1) (/.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 h) (/.f64 (*.f64 d d) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 d) d) h) (/.f64 (pow.f64 (cbrt.f64 d) 2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 d (/.f64 h d)))))) (#(struct:change 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(2) ((x pow.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 d 6) (pow.f64 (*.f64 h l) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 h l) (pow.f64 d -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 d d) (*.f64 h (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 d 6) (pow.f64 (*.f64 h l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 d (sqrt.f64 (*.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 d (pow.f64 (*.f64 h l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 d (sqrt.f64 (*.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) (*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/18) (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 1/6) (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 5/12) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1) (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))) (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 d (sqrt.f64 (*.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (*.f64 h l) (pow.f64 d -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 h (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 d (/.f64 h d))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 h (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) 3/2) 2))))))

simplify101.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-neg_binary64`
448×	`associate-l_binary64`
421×	`associate-r_binary64`
410×	`fma-def_binary64`
313×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	2052
1	246	1940
2	591	1732
3	1917	1460
4	7662	1460

Stop Event

1×	node limit

Counts

245 → 163

Calls

Call 1

Inputs
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h))))))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h))))))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(/.f64 (pow.f64 d 2) (*.f64 l h))
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d)))))) 3)
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)

Outputs
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 2 (log.f64 d)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 -2 (log.f64 (/.f64 -1 d)))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 d))) (log.f64 (.f64 l h))))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 d)) -1/3 (.f64 (log.f64 (.f64 l h)) -1/6)))
(pow.f64 (/.f64 (pow.f64 (/.f64 -1 d) -2) (*.f64 h l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 -2 (log.f64 (/.f64 -1 d)))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 d))) (log.f64 (.f64 l h))))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 d)) -1/3 (.f64 (log.f64 (.f64 l h)) -1/6)))
(pow.f64 (/.f64 (pow.f64 (/.f64 -1 d) -2) (*.f64 h l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 -2 (log.f64 (/.f64 -1 d)))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 d))) (log.f64 (.f64 l h))))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 d)) -1/3 (.f64 (log.f64 (.f64 l h)) -1/6)))
(pow.f64 (/.f64 (pow.f64 (/.f64 -1 d) -2) (*.f64 h l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 1 (.f64 l h))) (*.f64 -2 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 -2 (log.f64 (/.f64 -1 d)))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 -2 (log.f64 (/.f64 -1 d))) (log.f64 (.f64 l h))))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 d)) -1/3 (.f64 (log.f64 (.f64 l h)) -1/6)))
(pow.f64 (/.f64 (pow.f64 (/.f64 -1 d) -2) (*.f64 h l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h))))
(.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6))
(pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h))))
(.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6))
(pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h))))
(.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6))
(pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h))))
(.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6))
(pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6)
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
(.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d))
(exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h)))))
(pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d))))
(pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h))))
(.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6))
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(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 h)) (log.f64 (/.f64 (pow.f64 d 2) l))))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (*.f64 -1 (log.f64 h))))))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 (pow.f64 d 2) l)) (log.f64 (/.f64 1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) l))) (log.f64 (/.f64 -1 h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 (/.f64 (pow.f64 d 2) h))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (.f64 l h))) (.f64 2 (log.f64 d)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (.f64 2 (log.f64 d)) (log.f64 (.f64 l h)))) 3)
(pow.f64 (.f64 (pow.f64 l -1/6) (pow.f64 (.f64 (/.f64 d h) d) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (.f64 h l) -1/6) (cbrt.f64 d)) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)
(pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 (/.f64 (pow.f64 d 2) h)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (neg.f64 (/.f64 (*.f64 d d) l))) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 (/.f64 (neg.f64 (*.f64 d d)) l)) (log.f64 (/.f64 -1 h)))) 3)
(pow.f64 (.f64 (pow.f64 (/.f64 (.f64 d (neg.f64 d)) l) 1/6) (pow.f64 (/.f64 -1 h) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1 (/.f64 (/.f64 (neg.f64 d) (/.f64 h d)) l)) 1/6) 3)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 d l) 3/2)
✓	0.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
	11.1b	(sqrt.f64 (/.f64 d h))
✓	25.3b	(pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3)

Compiler

Compiled 56 to 30 computations (46.4% saved)

series155.0ms (0.3%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
32.0ms	d	@	0	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
21.0ms	l	@	0	(pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3)
20.0ms	l	@	-inf	(pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3)
15.0ms	d	@	-inf	(pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3)
15.0ms	h	@	0	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`log-prod_binary64`
376×	`pow-prod-down_binary64`
316×	`pow2_binary64`
226×	`pow-to-exp_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	302	25
2	3307	25

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(pow.f64 (/.f64 d l) 3/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 d l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d l) 1/6) (cbrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 d) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 d) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 d l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 d l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 d l))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 d l))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 d l)))) 3/4))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 d (/.f64 d l)) 1/2) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.f64 d h))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4)) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 d l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 d l) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 d l) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 d l) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 d l) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 d l) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 d l) (sqrt.f64 (/.f64 d l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d l) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 d l)) (/.f64 d l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 d l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d l) 3/4) (pow.f64 (/.f64 d l) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 d l)) 4) (pow.f64 (/.f64 d l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 d l) 5/4) (pow.f64 (/.f64 d l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 d l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 d l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 d l) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 d l) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 d l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 d l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 d l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 d l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 d l))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (/.f64 d l))) 2))))))

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-neg_binary64`
380×	`fma-def_binary64`
224×	`distribute-rgt-in_binary64`
218×	`exp-sum_binary64`
210×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	864
1	139	816
2	341	672
3	868	528
4	2515	528
5	7310	528

Stop Event

1×	node limit

Counts

135 → 89

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))

Outputs
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l))))
(cbrt.f64 (*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2)))
(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(.f64 -1 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) d) (sqrt.f64 (/.f64 1 (.f64 l h)))))
(.f64 d (sqrt.f64 (/.f64 1 (.f64 l h))))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 d))) (log.f64 (/.f64 1 l)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (.f64 -1 (log.f64 (/.f64 -1 d))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (.f64 -1 (log.f64 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 l)) (log.f64 d))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)
(exp.f64 (.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (.f64 -1 d)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 l) (log.f64 d)))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 d) (log.f64 l)))
(*.f64 (pow.f64 d 3/2) (pow.f64 l -3/2))
(pow.f64 (/.f64 d l) 3/2)

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.3b	(.f64 (/.f64 M (.f64 2 d)) D)
	11.1b	(pow.f64 (/.f64 d h) (/.f64 1 2))
✓	16.0b	(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))
	22.7b	(cbrt.f64 (pow.f64 (/.f64 d l) 3/2))

Compiler

Compiled 164 to 102 computations (37.8% saved)

series9.0ms (0%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))
0.0ms	M	@	0	(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))
0.0ms	M	@	inf	(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))
0.0ms	d	@	-inf	(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))
0.0ms	D	@	-inf	(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`log-prod_binary64`
416×	`pow2_binary64`
295×	`pow1/3_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	337	32
2	4271	32

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))
(.f64 (/.f64 M (.f64 2 d)) D)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 1/2) (/.f64 h l))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 1/2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 1/2) (/.f64 h l)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 1/2) (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) (/.f64 l h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h)) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h)) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h)) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 h) (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) (neg.f64 h)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 3) (pow.f64 (/.f64 h l) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 h l) 3) (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 h))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 h l) 2) (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 1/2) (/.f64 h l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 3) (pow.f64 (/.f64 h l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 h l) 3) (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) (*.f64 1/2 (/.f64 h l)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 M (*.f64 (/.f64 1/2 d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 D) (*.f64 M (/.f64 1/2 d)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 D) (*.f64 M (/.f64 1/2 d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 D) (*.f64 M (/.f64 1/2 d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 D) (*.f64 M (/.f64 1/2 d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 d d) (*.f64 M D)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 M (/.f64 (+.f64 d d) D))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 D (*.f64 2 (/.f64 d M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 M D) (+.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 M D)) (*.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M D) 1) (+.f64 d d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M D) 2) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M D) d) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M D) (pow.f64 (cbrt.f64 (+.f64 d d)) 2)) (cbrt.f64 (+.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 M D) (sqrt.f64 (+.f64 d d))) (sqrt.f64 (+.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 M) D) (*.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 M 2) D) d)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 D (neg.f64 M)) (*.f64 d -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 D (/.f64 M 2)) d)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 M (/.f64 1/2 d)) 3) (pow.f64 D 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 D 3) (pow.f64 (*.f64 M (/.f64 1/2 d)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 d d) (*.f64 M D)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 D) (*.f64 M (/.f64 1/2 d))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 M (/.f64 1/2 d)) 3) (pow.f64 D 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 D 3) (pow.f64 (*.f64 M (/.f64 1/2 d)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D))) 1))))))

simplify169.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1471×	`associate-/l/_binary64`
1325×	`associate-/r/_binary64`
680×	`unswap-sqr_binary64`
351×	`*-commutative_binary64`
215×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	1860
1	77	1860
2	251	1860
3	1567	1860
4	3464	1860
5	3740	1860
6	4851	1860
7	4933	1860
8	5032	1860
9	5158	1860
10	7122	1860

Stop Event

1×	node limit

Counts

163 → 73

Calls

Call 1

Inputs
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 h (pow.f64 M 2))) (.f64 l (pow.f64 d 2))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (/.f64 (.f64 D M) d))
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(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/8 (/.f64 (.f64 (pow.f64 D 2) (.f64 (pow.f64 M 2) h)) (.f64 (pow.f64 d 2) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 D D) (.f64 d d)) (/.f64 (.f64 (.f64 M M) h) l)))
(.f64 1/8 (.f64 (/.f64 (.f64 (.f64 D D) h) (.f64 d d)) (/.f64 (.f64 M M) l)))
(.f64 1/8 (/.f64 (/.f64 (.f64 h (.f64 (.f64 D M) (.f64 D M))) (.f64 d d)) l))
(.f64 1/8 (.f64 D (.f64 (/.f64 D (.f64 d d)) (*.f64 h (/.f64 M (/.f64 l M))))))
(.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))
(.f64 1/2 (/.f64 (.f64 D M) d))
(.f64 1/2 (.f64 (/.f64 M d) D))
(.f64 1/2 (.f64 D (/.f64 M d)))
(.f64 (.f64 D M) (/.f64 1/2 d))

eval255.0ms (0.5%)

Compiler: Compiled 14225 to 7979 computations (43.9% saved)

prune176.0ms (0.3%)

Pruning

75 alts after pruning (73 fresh and 2 done)

	Pruned	Kept	Total
New	562	32	594
Fresh	24	41	65
Picked	1	0	1
Done	4	2	6
Total	591	75	666

Error

5.6b

Counts

666 → 75

Alt Table

Click to see full alt table

Status	Error	Program
	32.2b	(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
	23.2b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 l h))) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	44.0b	(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
	44.8b	(.f64 (pow.f64 (.f64 l h) -1/2) d)
	39.6b	(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
	52.6b	(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
	30.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	44.6b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
	47.1b	(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
	39.0b	(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	28.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
	46.2b	(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
	39.7b	(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
	24.2b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	29.1b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
	41.4b	(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
	33.7b	(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	27.5b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
	42.0b	(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
	45.1b	(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
	49.0b	(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
	42.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (*.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	43.9b	(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	34.8b	(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
	32.6b	(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	41.2b	(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	45.0b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	45.1b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
	26.7b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 1/2 (/.f64 (.f64 D M) d)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
	44.9b	(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
	26.8b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	49.7b	(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
	41.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) (sqrt.f64 d)) (sqrt.f64 l)))
	29.6b	(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
	26.4b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
	32.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
	41.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	46.4b	(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
	46.1b	(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 h l) 1/6)) 3)))) 3)
	24.6b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
	24.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) (sqrt.f64 1/2))) 2)))
	41.1b	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
	24.2b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	49.5b	(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
	23.7b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	46.1b	(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 h l))) 1/3)))) 3)
	42.5b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	57.0b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
	43.2b	(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
	40.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	43.3b	(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
	43.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
	43.6b	(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
	32.3b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
	23.3b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
	31.3b	(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
	29.8b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
	45.4b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
	45.4b	(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
	26.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
	40.1b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
✓	44.9b	(/.f64 d (sqrt.f64 (*.f64 l h)))
	26.0b	(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	45.6b	(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
	46.2b	(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
	26.9b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
	44.9b	(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
	60.9b	(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
	48.1b	(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
	44.0b	(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
	49.1b	(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
	39.6b	(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
	60.6b	(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
	26.7b	(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
✓	43.0b	(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))

Compiler

Compiled 1875 to 1412 computations (24.7% saved)

regimes5.5s (9.8%)

Counts

150 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d l)))) 1))
(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 h l))) 1/3)))) 3)
(.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (*.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 1/2 (/.f64 (.f64 D M) d)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 h l) 1/6)) 3)))) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (.f64 (sqrt.f64 d) (/.f64 1 (sqrt.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (.f64 (sqrt.f64 d) (/.f64 1 (sqrt.f64 l))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1)))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 h) (sqrt.f64 d))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 l h))) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 l h))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 l h))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (cbrt.f64 (/.f64 d l)) (cbrt.f64 (sqrt.f64 (/.f64 d l))))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (*.f64 (/.f64 h l) -1/2) 1) (sqrt.f64 d)) (sqrt.f64 l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (*.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 l))) (.f64 (*.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))
(.f64 (.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (.f64 (/.f64 M 2) (/.f64 D d)) (sqrt.f64 1/2))) 2)))

Outputs
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2)))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

8 calls:

1.9s	d
870.0ms	l
735.0ms	h
637.0ms	M
389.0ms	(*.f64 M D)

Results

Error	Segments	Branch
11.4b	7	`d`
12.0b	6	`h`
13.6b	5	`l`
19.6b	5	`M`
19.7b	5	`D`
11.3b	4	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))`
19.3b	4	`(*.f64 M D)`
19.3b	4	`(*.f64 M D)`

Compiler

Compiled 3406 to 1782 computations (47.7% saved)

bsearch3.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	5.7358753388082765e+271	1.3309083093673276e+300
0.0ms	0.0	1.8813008433169073e-268
0.0ms	-1.2008619902870834e-178	-0.0

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes5.0s (8.9%)

Counts

115 → 5

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d h)))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (log.f64 (exp.f64 (sqrt.f64 (/.f64 d l)))) 1))
(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 h l))) 1/3)))) 3)
(.f64 (.f64 (cbrt.f64 (/.f64 d h)) (cbrt.f64 (sqrt.f64 (/.f64 d h)))) (*.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (.f64 1/2 (/.f64 (.f64 D M) d)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (.f64 (sqrt.f64 (/.f64 d h)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (cbrt.f64 (pow.f64 (/.f64 d l) 3/2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 d h) 3/2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (.f64 (pow.f64 (/.f64 d l) 1/4) (pow.f64 (/.f64 d l) 1/4))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) (/.f64 h l))))
(pow.f64 (cbrt.f64 (/.f64 d (exp.f64 (.f64 (log.f64 (pow.f64 (.f64 h l) 1/6)) 3)))) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (.f64 (sqrt.f64 d) (/.f64 1 (sqrt.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (.f64 (sqrt.f64 d) (/.f64 1 (sqrt.f64 l))) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (.f64 (/.f64 h l) -1/2) 1)))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 h) (sqrt.f64 d))) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (pow.f64 (/.f64 (/.f64 D d) (/.f64 2 M)) 2) (*.f64 (/.f64 h l) -1/2) 1)))

Outputs
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (/.f64 1 (sqrt.f64 (/.f64 l d)))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

8 calls:

1.9s	(*.f64 M D)
870.0ms	d
657.0ms	h
405.0ms	l
389.0ms	D

Results

Error	Segments	Branch
14.4b	8	`d`
15.1b	6	`h`
17.3b	3	`l`
22.7b	3	`M`
20.5b	5	`D`
11.7b	5	`(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))`
22.3b	3	`(*.f64 M D)`
22.3b	3	`(*.f64 M D)`

Compiler

Compiled 2204 to 1131 computations (48.7% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	5.7358753388082765e+271	1.3309083093673276e+300
0.0ms	0.0	1.8813008433169073e-268
0.0ms	-1.2008619902870834e-178	-0.0
0.0ms	-inf	-1.6883761916090764e+294

Compiler

Compiled 48 to 38 computations (20.8% saved)

regimes1.5s (2.6%)

Counts

80 → 9

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

7 calls:

420.0ms	d
242.0ms	D
202.0ms	l
171.0ms	M
136.0ms	h

Results

Error	Segments	Branch
15.6b	9	`d`
19.1b	3	`h`
18.7b	3	`l`
22.7b	3	`M`
20.5b	5	`D`
22.3b	3	`(*.f64 M D)`
22.3b	3	`(*.f64 M D)`

Compiler

Compiled 1122 to 530 computations (52.8% saved)

bsearch229.0ms (0.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
42.0ms	1.1681075033199236e+82	5.584657872062371e+84
42.0ms	3.266985561813413e-87	2.314074989917699e-82
34.0ms	3.140020199830852e-283	6.154519404156999e-281
10.0ms	-8.580780041800596e-82	-2.4670318461134467e-82
8.0ms	-1.3866101221870021e+26	-6.11432925429875e+23
9.0ms	-2.5941944808189902e+100	-1.573768488455532e+98
42.0ms	-1.098251072511965e+189	-7.182188796217578e+187
40.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1911 to 1418 computations (25.8% saved)

regimes2.4s (4.3%)

Counts

79 → 9

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

7 calls:

926.0ms	d
367.0ms	D
342.0ms	h
274.0ms	l
215.0ms	M

Results

Error	Segments	Branch
15.6b	9	`d`
19.1b	3	`h`
18.7b	3	`l`
22.7b	3	`M`
20.5b	5	`D`
22.3b	3	`(*.f64 M D)`
22.3b	3	`(*.f64 M D)`

Compiler

Compiled 1090 to 512 computations (53% saved)

bsearch335.0ms (0.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
56.0ms	2.2468123104422475e+51	1.5993559829846283e+52
46.0ms	7.604261921372404e-113	6.747218690213262e-108
41.0ms	-9.645581023906677e-213	-6.870195549533003e-214
8.0ms	-8.580780041800596e-82	-2.4670318461134467e-82
8.0ms	-1.3866101221870021e+26	-6.11432925429875e+23
9.0ms	-2.5941944808189902e+100	-1.573768488455532e+98
76.0ms	-1.098251072511965e+189	-7.182188796217578e+187
89.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1742 to 1240 computations (28.8% saved)

regimes1.5s (2.7%)

Counts

76 → 9

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

480.0ms	d
331.0ms	D
312.0ms	M
182.0ms	l
136.0ms	h

Results

Error	Segments	Branch
15.8b	9	`d`
19.1b	3	`h`
18.7b	3	`l`
22.7b	3	`M`
20.5b	5	`D`

Compiler

Compiled 979 to 445 computations (54.5% saved)

bsearch240.0ms (0.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
57.0ms	1.1681075033199236e+82	5.584657872062371e+84
44.0ms	3.266985561813413e-87	2.314074989917699e-82
32.0ms	3.140020199830852e-283	6.154519404156999e-281
8.0ms	-8.580780041800596e-82	-2.4670318461134467e-82
9.0ms	-1.3866101221870021e+26	-6.11432925429875e+23
8.0ms	-2.5941944808189902e+100	-1.573768488455532e+98
41.0ms	-1.098251072511965e+189	-7.182188796217578e+187
38.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1903 to 1410 computations (25.9% saved)

regimes1.9s (3.4%)

Counts

75 → 7

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2) (*.f64 1/2 h)) l)))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

816.0ms	d
366.0ms	D
314.0ms	M
201.0ms	l
169.0ms	h

Results

Error	Segments	Branch
16.8b	7	`d`
19.1b	3	`h`
18.7b	3	`l`
22.7b	3	`M`
20.5b	5	`D`

Compiler

Compiled 948 to 428 computations (54.9% saved)

bsearch413.0ms (0.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
143.0ms	2.2468123104422475e+51	1.5993559829846283e+52
41.0ms	7.604261921372404e-113	6.747218690213262e-108
45.0ms	-9.645581023906677e-213	-6.870195549533003e-214
8.0ms	-2.5941944808189902e+100	-1.573768488455532e+98
101.0ms	-1.098251072511965e+189	-7.182188796217578e+187
72.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1590 to 1130 computations (28.9% saved)

regimes3.0s (5.3%)

Counts

74 → 7

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (/.f64 (.f64 1/2 (pow.f64 (.f64 (/.f64 M 2) (/.f64 D d)) 2)) (/.f64 l h))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

928.0ms	d
574.0ms	D
548.0ms	l
491.0ms	h
375.0ms	M

Results

Error	Segments	Branch
17.4b	7	`d`
19.0b	4	`h`
20.3b	3	`l`
22.3b	5	`M`
20.5b	7	`D`

Compiler

Compiled 919 to 413 computations (55.1% saved)

bsearch354.0ms (0.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	-2.0338916746991708e-295	-1.775440162796439e-295
37.0ms	-1.593719750569994e-176	-5.644046764120979e-177
8.0ms	-4.971283651319774e-88	-1.5380047018206292e-98
10.0ms	-3.756024394793421e+156	-6.715857355521997e+147
213.0ms	-1.098251072511965e+189	-7.182188796217578e+187
60.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1055 to 782 computations (25.9% saved)

regimes1.5s (2.7%)

Counts

73 → 7

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 -1/8 (.f64 h (.f64 (/.f64 D (.f64 (/.f64 l M) (/.f64 (.f64 d d) D))) M)) 1)))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

589.0ms	D
259.0ms	M
258.0ms	d
250.0ms	h
162.0ms	l

Results

Error	Segments	Branch
17.4b	7	`d`
18.7b	5	`h`
20.3b	3	`l`
22.9b	5	`M`
20.7b	7	`D`

Compiler

Compiled 890 to 398 computations (55.3% saved)

bsearch122.0ms (0.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
14.0ms	-2.0338916746991708e-295	-1.775440162796439e-295
7.0ms	-1.593719750569994e-176	-5.644046764120979e-177
10.0ms	-4.971283651319774e-88	-1.5380047018206292e-98
8.0ms	-3.756024394793421e+156	-6.715857355521997e+147
42.0ms	-1.098251072511965e+189	-7.182188796217578e+187
40.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 747 to 562 computations (24.8% saved)

regimes1.3s (2.2%)

Counts

72 → 8

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 D d) (.f64 M 1/2)) 2) (.f64 (/.f64 h l) -1/2)) 1)))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

304.0ms	d
288.0ms	D
273.0ms	M
186.0ms	h
172.0ms	l

Results

Error	Segments	Branch
17.7b	8	`d`
18.7b	5	`h`
20.3b	3	`l`
23.2b	5	`M`
22.0b	6	`D`

Compiler

Compiled 862 to 388 computations (55% saved)

bsearch273.0ms (0.5%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
31.0ms	2.2468123104422475e+51	1.5993559829846283e+52
73.0ms	3.266985561813413e-87	2.314074989917699e-82
71.0ms	3.140020199830852e-283	6.154519404156999e-281
9.0ms	-1.7444019565040664e+71	-2.660017439266487e+70
8.0ms	-2.140543209040856e+127	-2.868920150754045e+124
41.0ms	-1.098251072511965e+189	-7.182188796217578e+187
39.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1788 to 1286 computations (28.1% saved)

regimes1.8s (3.2%)

Counts

71 → 8

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 3/2) 1/3) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (pow.f64 (pow.f64 (/.f64 d l) 1/4) 2) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 1 l))) 1))
(.f64 (pow.f64 (pow.f64 (/.f64 d h) 3/2) 1/3) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d l)) 1/2)) 1))

Outputs
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

939.0ms	d
330.0ms	D
214.0ms	M
183.0ms	l
104.0ms	h

Results

Error	Segments	Branch
18.0b	8	`d`
20.1b	3	`h`
20.3b	3	`l`
24.4b	4	`M`
22.7b	6	`D`

Compiler

Compiled 835 to 374 computations (55.2% saved)

bsearch377.0ms (0.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
41.0ms	2.2468123104422475e+51	1.5993559829846283e+52
46.0ms	3.266985561813413e-87	2.314074989917699e-82
49.0ms	-2.0338916746991708e-295	-1.775440162796439e-295
8.0ms	-1.8935781842792384e+54	-2.3500190030578353e+47
8.0ms	-2.140543209040856e+127	-2.868920150754045e+124
113.0ms	-1.098251072511965e+189	-7.182188796217578e+187
110.0ms	-7.788299042378584e+233	-1.6935581736551947e+233

Compiler

Compiled 1582 to 1128 computations (28.7% saved)

regimes1.5s (2.7%)

Counts

65 → 4

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 d (log.f64 (exp.f64 (sqrt.f64 (*.f64 l h)))))
(log.f64 (exp.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(pow.f64 (cbrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) 3)
(log.f64 (exp.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 h l)) d) -1/3) 3)
(pow.f64 (/.f64 (cbrt.f64 d) (pow.f64 (*.f64 h l) 1/6)) 3)
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 3)
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2)) 3))
(pow.f64 (sqrt.f64 (/.f64 d (pow.f64 (*.f64 h l) 1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)) 3)
(.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) 1))
(pow.f64 (*.f64 (pow.f64 (/.f64 d h) 1/6) (pow.f64 (/.f64 d l) 1/6)) 3)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 d l) (/.f64 d h)) 3/2)) 1/3))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (*.f64 (sqrt.f64 d) (pow.f64 l -1/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (cbrt.f64 (pow.f64 (/.f64 d l) 3/2)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) 1))

Outputs
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

479.0ms	d
289.0ms	D
279.0ms	l
188.0ms	h
185.0ms	M

Results

Error	Segments	Branch
21.4b	4	`d`
22.4b	2	`h`
22.1b	2	`l`
24.4b	4	`M`
22.7b	6	`D`

Compiler

Compiled 751 to 333 computations (55.7% saved)

bsearch178.0ms (0.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
72.0ms	2.2468123104422475e+51	1.5993559829846283e+52
90.0ms	3.266985561813413e-87	2.314074989917699e-82
15.0ms	-2.0338916746991708e-295	-1.775440162796439e-295

Compiler

Compiled 958 to 676 computations (29.4% saved)

regimes688.0ms (1.2%)

Counts

42 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D))))))))

Outputs

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (*.f64 1/8 (*.f64 M (/.f64 h (*.f64 (/.f64 l M) (*.f64 (/.f64 d D) (/.f64 d D))))))))

(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

223.0ms	M
222.0ms	D
104.0ms	l
65.0ms	h
50.0ms	d

Results

Error	Segments	Branch
22.4b	2	`d`
22.4b	2	`h`
22.1b	2	`l`
24.4b	4	`M`
22.8b	6	`D`

Compiler

Compiled 490 to 224 computations (54.3% saved)

bsearch81.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
80.0ms	2.056016071700111e-298	5.823487154626242e-297

Compiler

Compiled 398 to 276 computations (30.7% saved)

regimes1.2s (2.2%)

Counts

40 → 3

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) (.f64 (/.f64 (.f64 (.f64 D D) (.f64 h M)) (*.f64 d (/.f64 l M))) (/.f64 -1/8 d))))

Outputs
(.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

313.0ms	M
236.0ms	l
220.0ms	h
131.0ms	D
69.0ms	d

Results

Error	Segments	Branch
24.5b	2	`d`
23.0b	3	`h`
24.5b	2	`l`
26.2b	6	`M`
25.9b	5	`D`

Compiler

Compiled 425 to 199 computations (53.2% saved)

bsearch15.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	2.405781617746958e-254	4.601326611150161e-251
9.0ms	-2.3305420872424787e+135	-2.2172463570731845e+132

Compiler

Compiled 106 to 83 computations (21.7% saved)

regimes887.0ms (1.6%)

Counts

37 → 3

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(/.f64 d (pow.f64 (pow.f64 (*.f64 l h) 3/2) 1/3))
(.f64 d (pow.f64 (pow.f64 (.f64 l h) -1/6) 3))
(*.f64 (/.f64 1 (sqrt.f64 l)) (/.f64 d (sqrt.f64 h)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 3/2))
(/.f64 (pow.f64 (*.f64 (/.f64 d l) d) 1/2) (sqrt.f64 h))
(/.f64 (pow.f64 (*.f64 (/.f64 d h) d) 1/2) (sqrt.f64 l))
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d l) (/.f64 d h))) 1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 d d) (.f64 h l)) 1/6) 3)
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 d h) (/.f64 d l))) 1/2))
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (sqrt.f64 (/.f64 d l)) 1))
(pow.f64 (pow.f64 (.f64 (/.f64 1 h) (/.f64 (.f64 d d) l)) 1/6) 3)
(.f64 (sqrt.f64 (/.f64 d h)) (.f64 (/.f64 1 (sqrt.f64 (/.f64 l d))) 1))
(/.f64 (/.f64 d (pow.f64 (.f64 h l) 1/4)) (pow.f64 (.f64 h l) 1/4))

Outputs
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

287.0ms	M
230.0ms	D
88.0ms	d
64.0ms	h
54.0ms	l

Results

Error	Segments	Branch
23.8b	3	`d`
23.0b	3	`h`
24.9b	2	`l`
27.4b	4	`M`
25.9b	5	`D`

Compiler

Compiled 372 to 176 computations (52.7% saved)

bsearch240.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	2.405781617746958e-254	4.601326611150161e-251
233.0ms	-2.3305420872424787e+135	-2.2172463570731845e+132

Compiler

Compiled 298 to 226 computations (24.2% saved)

regimes255.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(/.f64 d (cbrt.f64 (pow.f64 (*.f64 l h) 3/2)))
(*.f64 (pow.f64 h -1/2) (/.f64 d (sqrt.f64 l)))

Outputs
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))

Calls

5 calls:

150.0ms	d
46.0ms	l
23.0ms	h
17.0ms	D
11.0ms	M

Results

Error	Segments	Branch
24.9b	2	`d`
24.8b	2	`h`
24.9b	2	`l`
29.6b	1	`M`
29.6b	1	`D`

Compiler

Compiled 201 to 104 computations (48.3% saved)

bsearch11.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	2.405781617746958e-254	4.601326611150161e-251

Compiler

Compiled 74 to 58 computations (21.6% saved)

regimes130.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))

Outputs
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))

Calls

5 calls:

47.0ms	h
19.0ms	D
18.0ms	l
18.0ms	M
18.0ms	d

Results

Error	Segments	Branch
29.6b	1	`d`
29.6b	1	`h`
29.6b	1	`l`
29.6b	1	`M`
29.6b	1	`D`

Compiler

Compiled 163 to 86 computations (47.2% saved)

regimes531.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)
(.f64 (sqrt.f64 (/.f64 1 (.f64 l h))) d)
(sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l)))
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))
(-.f64 (+.f64 1 (/.f64 d (sqrt.f64 (*.f64 l h)))) 1)
(/.f64 d (-.f64 (+.f64 1 (sqrt.f64 (*.f64 l h))) 1))

Outputs
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d)

Calls

5 calls:

207.0ms	d
189.0ms	D
60.0ms	h
47.0ms	l
17.0ms	M

Results

Error	Segments	Branch
33.3b	2	`d`
33.3b	2	`h`
33.3b	2	`l`
39.6b	1	`M`
35.4b	7	`D`

Compiler

Compiled 156 to 84 computations (46.2% saved)

bsearch91.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
90.0ms	5.823487154626242e-297	4.0698087498716463e-283

Compiler

Compiled 328 to 248 computations (24.4% saved)

regimes130.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 h l)) d))
(sqrt.f64 (/.f64 (.f64 d d) (.f64 l h)))

Outputs
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l)))

Calls

5 calls:

48.0ms	D
37.0ms	l
14.0ms	M
14.0ms	h
12.0ms	d

Results

Error	Segments	Branch
33.3b	2	`d`
33.3b	2	`h`
33.3b	2	`l`
39.6b	1	`M`
35.4b	7	`D`

Compiler

Compiled 102 to 59 computations (42.2% saved)

bsearch38.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	1.474960914853221e-217	3.319258990497935e-215

Compiler

Compiled 244 to 185 computations (24.2% saved)

regimes71.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))

Outputs
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)

Calls

5 calls:

32.0ms	D
14.0ms	l
9.0ms	d
9.0ms	h
5.0ms	M

Results

Error	Segments	Branch
34.1b	2	`d`
34.1b	2	`h`
34.1b	2	`l`
39.6b	1	`M`
35.4b	7	`D`

Compiler

Compiled 70 to 46 computations (34.3% saved)

bsearch47.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	5.823487154626242e-297	4.0698087498716463e-283

Compiler

Compiled 318 to 238 computations (25.2% saved)

regimes31.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 d (sqrt.f64 (*.f64 l h)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (pow.f64 (*.f64 l h) 1/2))

Outputs
(.f64 (pow.f64 (.f64 l h) -1/2) d)

Calls

5 calls:

8.0ms	d
6.0ms	h
5.0ms	l
5.0ms	D
4.0ms	M

Results

Error	Segments	Branch
44.8b	1	`d`
44.8b	1	`h`
44.8b	1	`l`
44.8b	1	`M`
44.8b	1	`D`

Compiler

Compiled 62 to 42 computations (32.3% saved)

simplify171.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

73×	`*-commutative_binary64`
27×	`+-commutative_binary64`
26×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	253	3167
1	338	3167
2	393	3167
3	440	3167
4	473	3167
5	487	3167
6	491	3167

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l)))) -912488123524439/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (pow.f64 (.f64 (sqrt.f64 (/.f64 h l)) (.f64 (/.f64 (.f64 M (.f64 1/2 D)) d) (sqrt.f64 1/2))) 2))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l)))) 0) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (if (<=.f64 (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2)) (/.f64 h l)))) 100000000000000006552261095746787856411749967010355244012076385661777528108930437151694716472838260680760238458487340241071121614642608687943103994317258797079104154646440083568631482671560875436423095301659220218514235305581886882057848563849292034690350260273827761094656) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 (.f64 (/.f64 1 2) (pow.f64 (.f64 (/.f64 M (.f64 2 d)) D) 2)) (/.f64 h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))))))
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(if (<=.f64 d -769999999999999973161500131250709830635997669382804054515993035564519054814850410079163401765132480254006465614043503933598412316814213473274904874713188355468561996908028656196524607064551265061960971506859735805088616161888924860416) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1)) (if (<=.f64 d -75000000000000001731981847702340366169737866863877445657292343361613164225959326664932134765096307083308678907869393064744939258485190513015702228749026763928402357358497673656922500235264) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (if (<=.f64 d -999999999999999924867761618992882042544670869834838461439225972225294199975793026603163493762817653751530058413655532282839040) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (if (<=.f64 d -100000000000000007629769841091887003294964970946560) (.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (.f64 (sqrt.f64 (/.f64 d l)) 1)) (if (<=.f64 d -4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (if (<=.f64 d 7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 d 2300000000000000050869581740277537991052282430488576) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))))))
(if (<=.f64 d -4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (if (<=.f64 d 7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 d 2300000000000000050869581740277537991052282430488576) (.f64 (.f64 (pow.f64 (/.f64 d h) (/.f64 1 2)) (pow.f64 (/.f64 d l) (/.f64 1 2))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 l 4948171926026143/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(if (<=.f64 h -999999999999999961829690841814939863449235336276785151445404123455100404055655690676191710164594560368702289580532071091311261383655424) (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1)) (if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h -2249999999999999861160508066129434631457749612029749636724989698268415587402718968715181286978086699088806304990870538711342319140864) (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(if (<=.f64 l 4344377137433667/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d))
(if (<=.f64 l 7452086843043403/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))))
(if (<=.f64 l 4344377137433667/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (pow.f64 (*.f64 l h) -1/2) d))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(/.f64 d (sqrt.f64 (*.f64 l h)))

Outputs
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(if (<=.f64 d -4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (+.f64 1 (.f64 -1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (if (<=.f64 d 7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))) (if (<=.f64 d 2300000000000000050869581740277537991052282430488576) (.f64 (.f64 (pow.f64 (/.f64 d h) 1/2) (pow.f64 (/.f64 d l) 1/2)) (+.f64 1 (.f64 -1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(if (<=.f64 l 4948171926026143/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 1 (.f64 1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(if (<=.f64 l 4948171926026143/23562723457267347065789548996709904988477547858392600710143027597506337283178622239730365539602600561360255566462503270175052892578043215543382498428777152430442793326983968886135484527574528048424954488695685876133154086235991294800548739224807307629474678136450095282906365419648413375507379824836506306113175552) (.f64 (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (+.f64 1 (.f64 -1/8 (.f64 M (/.f64 h (.f64 (/.f64 l M) (.f64 (/.f64 d D) (/.f64 d D)))))))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(if (<=.f64 h -999999999999999961829690841814939863449235336276785151445404123455100404055655690676191710164594560368702289580532071091311261383655424) (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (.f64 (sqrt.f64 (/.f64 d l)) 1)) (if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h -999999999999999961829690841814939863449235336276785151445404123455100404055655690676191710164594560368702289580532071091311261383655424) (.f64 (/.f64 1 (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h -2249999999999999861160508066129434631457749612029749636724989698268415587402718968715181286978086699088806304990870538711342319140864) (.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h -2249999999999999861160508066129434631457749612029749636724989698268415587402718968715181286978086699088806304990870538711342319140864) (.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(if (<=.f64 h 8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224) (fabs.f64 (/.f64 d (sqrt.f64 (.f64 h l)))) (/.f64 d (.f64 (sqrt.f64 l) (sqrt.f64 h))))
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))
(if (<=.f64 l 4344377137433667/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 l) h)) d))
(if (<=.f64 l 4344377137433667/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))) (.f64 d (sqrt.f64 (/.f64 (/.f64 1 l) h))))
(if (<=.f64 l 7452086843043403/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))))
(if (<=.f64 l 7452086843043403/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))) (.f64 d (sqrt.f64 (/.f64 (/.f64 1 h) l))))
(if (<=.f64 l 4344377137433667/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (sqrt.f64 (.f64 (/.f64 d l) (/.f64 d h))) (.f64 (pow.f64 (*.f64 l h) -1/2) d))
(if (<=.f64 l 4344377137433667/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (sqrt.f64 (.f64 (/.f64 d h) (/.f64 d l))) (.f64 d (pow.f64 (*.f64 h l) -1/2)))
(.f64 (pow.f64 (.f64 l h) -1/2) d)
(.f64 d (pow.f64 (.f64 h l) -1/2))
(/.f64 d (sqrt.f64 (*.f64 l h)))
(/.f64 d (sqrt.f64 (*.f64 h l)))

Compiler

Compiled 2184 to 1198 computations (45.1% saved)

soundness93.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

735×	`distribute-rgt-neg-in_binary64`
679×	`distribute-neg-frac_binary64`
466×	`fma-def_binary64`
425×	`associate-/l*_binary64`
389×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	41
1	62	41
2	195	39
3	1301	39
4	5063	39

Stop Event

1×	node limit

Compiler

Compiled 801 to 612 computations (23.6% saved)

end609.0ms (1.1%)

Compiler: Compiled 2432 to 998 computations (59% saved)