Details

analyze371.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	76.4%	0.2%	11
30.4%	69.4%	0.2%	12

Compiler

Compiled 20 to 13 computations (35% saved)

sample2.3s (22.7%)

Results

2.0s	8087×	body	256	valid
167.0ms	86×	body	1024	valid
82.0ms	586×	body	256	invalid
19.0ms	83×	body	512	valid

preprocess35.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

525×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
409×	`fma-def_binary64`
318×	`associate-*r/_binary64`
279×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	161
1	243	147
2	722	147
3	2150	147
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 y (.f64 (.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))))
(+.f64 z (.f64 (.f64 y x) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(+.f64 t (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(+.f64 x (.f64 (.f64 t z) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(+.f64 x (.f64 (.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))))

Outputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(+.f64 y (.f64 (.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))))
(fma.f64 x (*.f64 z (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))) y)
(fma.f64 (*.f64 x z) (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x))) y)
(fma.f64 z (*.f64 x (-.f64 (tanh.f64 (/.f64 t x)) (tanh.f64 (/.f64 y x)))) y)
(+.f64 z (.f64 (.f64 y x) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))))
(+.f64 z (.f64 y (.f64 x (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y))))))
(fma.f64 y (*.f64 x (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))) z)
(fma.f64 x (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 z y)))) z)
(+.f64 t (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))))
(+.f64 t (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))) t)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y))) t)
(+.f64 x (.f64 (.f64 z y) (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))))
(+.f64 x (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z))))))
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))) x)
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t z)) (tanh.f64 (/.f64 x z)))) x)
(+.f64 x (.f64 (.f64 t z) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(+.f64 x (.f64 (.f64 z t) (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))))
(fma.f64 t (*.f64 z (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))) x)
(fma.f64 z (*.f64 t (-.f64 (tanh.f64 (/.f64 y t)) (tanh.f64 (/.f64 x t)))) x)
(+.f64 x (.f64 (.f64 y t) (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 y (*.f64 t (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 t (*.f64 y (-.f64 (tanh.f64 (/.f64 z y)) (tanh.f64 (/.f64 x y)))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-neg_binary64`
402×	`distribute-rgt-in_binary64`
386×	`cancel-sign-sub-inv_binary64`
372×	`distribute-lft-in_binary64`
369×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	55	21
2	154	21
3	391	21
4	1460	21
5	6002	21

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Outputs
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)

eval1.0ms (0%)

Compiler: Compiled 33 to 13 computations (60.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

5.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	5.5b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
	0.0b	(tanh.f64 (/.f64 t y))
	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓	0.0b	(tanh.f64 (/.f64 t y))
✓	5.5b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

series63.0ms (0.6%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
6.0ms	z	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
6.0ms	y	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
5.0ms	y	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
5.0ms	z	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite202.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`log-prod_binary64`
495×	`prod-diff_binary64`
294×	`log1p-udef_binary64`
292×	`expm1-udef_binary64`
279×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	290	46
2	4540	46

Stop Event

1×	node limit

Counts

4 → 228

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(tanh.f64 (/.f64 t y))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 x y))

Outputs
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simplify198.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-def_binary64`
472×	`fma-neg_binary64`
374×	`+-commutative_binary64`
335×	`associate-+l+_binary64`
331×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	10636
1	1426	8110
2	6304	7540

Stop Event

1×	node limit

Counts

360 → 328

Calls

Call 1

Inputs
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 z (-.f64 t x))
(+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (.f64 z (-.f64 t x)))
(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 x 3))) (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3))))) (.f64 1/2 (pow.f64 t 3)))) z) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (*.f64 z (-.f64 t x))))
(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 x 3))) (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3))))) (.f64 1/2 (pow.f64 t 3)))) z) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 z (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)))))) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))) (.f64 -1/2 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 -1/2 (pow.f64 x 3))) x)))) (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))))))) (pow.f64 y 3)) (+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (.f64 z (-.f64 t x)))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3)))))) (+.f64 (.f64 1/2 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (.f64 -1/2 (pow.f64 t 3)))) z) (pow.f64 y 2))) (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y)))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) x)) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))) (.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 1/2 (pow.f64 t 3)) (.f64 -1/6 (pow.f64 t 3)))) t) (.f64 -1/6 (pow.f64 t 4)))))))) (+.f64 (.f64 1/2 (+.f64 (.f64 -1/6 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) x) (.f64 1/12 (pow.f64 x 4)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (.f64 1/2 (pow.f64 t 3))) t))))) z) (pow.f64 y 3)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3)))))) (+.f64 (.f64 1/2 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (.f64 -1/2 (pow.f64 t 3)))) z) (pow.f64 y 2))) (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y))))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
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(-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))))
(/.f64 x y)
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (/.f64 x y) (.f64 2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 5)))))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 -17/315 (/.f64 (pow.f64 x 7) (pow.f64 y 7))) (+.f64 (/.f64 x y) (*.f64 2/15 (/.f64 (pow.f64 x 5) (pow.f64 y 5))))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
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(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
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(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))
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(/.f64 x y)
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(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 y 3))))) (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))))) (pow.f64 y 4))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 y 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 -1/2 (pow.f64 x 3))) x) (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/4 (/.f64 (.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 4))))))
(/.f64 x y)
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(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 y 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) x) (+.f64 (.f64 -1/6 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))))) (pow.f64 y 4))) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 y 3)))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 4))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) x) (pow.f64 y 4)))))

Outputs
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(*.f64 z (-.f64 t x))
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(+.f64 (/.f64 x y) (fma.f64 1/2 (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) x)) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))))) (pow.f64 y 4))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 y 3)))))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (.f64 -1/2 (pow.f64 x 3))) x) (pow.f64 y 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (.f64 1/4 (/.f64 (.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 4))))))
(-.f64 (+.f64 (fma.f64 1/2 (/.f64 (.f64 0 (.f64 x x)) (.f64 y y)) (/.f64 x y)) (.f64 1/2 (+.f64 (/.f64 (fma.f64 -1 (.f64 x (fma.f64 -1 (.f64 x (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/2 (.f64 (.f64 x x) (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 4) -1/12))) (pow.f64 y 4)) (/.f64 (fma.f64 -1 (.f64 x (.f64 (.f64 x x) -1/2)) (.f64 (pow.f64 x 3) -1/6)) (pow.f64 y 3))))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (.f64 x (.f64 (.f64 x x) -1/2)) (.f64 -1/2 (pow.f64 x 3))) (/.f64 (pow.f64 y 4) x)) (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 (.f64 1/4 (.f64 0 (.f64 x x))) (*.f64 x x)) (pow.f64 y 4)))))
(+.f64 (fma.f64 1/2 (+.f64 (/.f64 (-.f64 (fma.f64 -1/2 (.f64 (pow.f64 x 4) -1/2) (.f64 (pow.f64 x 4) -1/12)) (.f64 x (.f64 (pow.f64 x 3) 1/6))) (pow.f64 y 4)) (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 x y)) (-.f64 (/.f64 0 (.f64 y y)) (fma.f64 -1/2 (/.f64 x (/.f64 (pow.f64 y 4) (fma.f64 1/2 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 3))))) (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 0 (pow.f64 y 4))))))
(+.f64 (/.f64 x y) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/6)) x (fma.f64 (pow.f64 x 4) -1/12 (.f64 1/4 (pow.f64 x 4)))) (pow.f64 y 4)) (.f64 1/3 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(/.f64 x y)
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (/.f64 x y))
(fma.f64 1/2 (/.f64 (.f64 0 (.f64 x x)) (*.f64 y y)) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 0 (*.f64 y y)))
(+.f64 (/.f64 x y) 0)
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 y 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 0 (.f64 x x)) (.f64 y y)) (/.f64 x y)) (neg.f64 (/.f64 (fma.f64 1/2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 (.f64 x x) -1/2)))) (neg.f64 (*.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 3))))
(+.f64 (/.f64 0 (.f64 y y)) (-.f64 (/.f64 x y) (/.f64 (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))) (pow.f64 y 3))))
(-.f64 (/.f64 x y) (/.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))) (pow.f64 y 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 2))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x))) x) (+.f64 (.f64 -1/6 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))))) (pow.f64 y 4))) (+.f64 (/.f64 x y) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)))) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 y 3)))))) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 y 4))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) x) (pow.f64 y 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 0 (.f64 x x)) (.f64 y y)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (.f64 (.f64 x x) -1/2)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 3) (.f64 x (.f64 (.f64 x x) -1/2)))) x (.f64 (pow.f64 x 4) -1/12))) (pow.f64 y 4)) (+.f64 (/.f64 x y) (neg.f64 (/.f64 (fma.f64 1/2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 (.f64 x x) -1/2)))) (neg.f64 (.f64 -1/2 (pow.f64 x 3)))) (pow.f64 y 3)))))) (fma.f64 1/4 (/.f64 (.f64 0 (.f64 x x)) (/.f64 (pow.f64 y 4) (.f64 x x))) (.f64 1/2 (/.f64 (fma.f64 1/2 (pow.f64 x 3) (.f64 x (.f64 (.f64 x x) -1/2))) (/.f64 (pow.f64 y 4) x)))))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (.f64 (pow.f64 x 4) -1/2) (fma.f64 x (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 4) -1/12))) (pow.f64 y 4)) (/.f64 x y)) (/.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))) (pow.f64 y 3))) (-.f64 (/.f64 0 (.f64 y y)) (fma.f64 1/2 (/.f64 x (/.f64 (pow.f64 y 4) (fma.f64 1/2 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 3))))) (/.f64 0 (pow.f64 y 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 x (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 4) -1/12))) (pow.f64 y 4)) (/.f64 x y)) (/.f64 (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 3))) (pow.f64 y 3)))

eval254.0ms (2.5%)

Compiler: Compiled 13944 to 6679 computations (52.1% saved)

prune57.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	323	5	328
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	323	6	329

Error

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.1b	(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
✓	5.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	2.6b	(+.f64 x (+.f64 0 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
▶	25.3b	(+.f64 x (*.f64 z (-.f64 t x)))
▶	21.7b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
▶	25.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 185 to 116 computations (37.3% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.3b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
	0.0b	(tanh.f64 (/.f64 t y))
	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
	0.0b	(tanh.f64 (/.f64 x y))
	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
	0.0b	(tanh.f64 (/.f64 t y))
✓	1.3b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
✓	4.0b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series26.0ms (0.3%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.0ms	y	@	0	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
2.0ms	x	@	-inf	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	y	@	inf	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	t	@	inf	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`log-prod_binary64`
495×	`prod-diff_binary64`
294×	`log1p-udef_binary64`
292×	`expm1-udef_binary64`
279×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	290	37
2	4542	37

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tanh.f64 (/.f64 t y)) (.f64 y z)) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y z) (tanh.f64 (/.f64 t y))) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tanh.f64 (/.f64 t y)) (.f64 y z) (.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y z) (tanh.f64 (/.f64 t y)) (.f64 (.f64 y z) (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))))
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tanh.f64 (/.f64 t y)) z) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3)) z) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2)) z) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 3) (pow.f64 (tanh.f64 (/.f64 x y)) 3))) (fma.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) 2) (pow.f64 (tanh.f64 (/.f64 x y)) 2))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (tanh.f64 (/.f64 t y)) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tanh.f64 (/.f64 t y)) z (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))))

simplify181.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

802×	`distribute-rgt-in_binary64`
653×	`times-frac_binary64`
398×	`fma-def_binary64`
311×	`cancel-sign-sub-inv_binary64`
281×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	10038
1	997	8282
2	4104	7821

Stop Event

1×	node limit

Counts

146 → 114

Calls

Call 1

Inputs
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(*.f64 z (-.f64 t x))
(+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (.f64 z (-.f64 t x)))
(+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 x 3))) (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/3 (pow.f64 x 3))))) (.f64 1/2 (pow.f64 t 3)))) z) (pow.f64 y 2)) (+.f64 (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y) (*.f64 z (-.f64 t x))))
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(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) (.f64 1/2 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))))) y))
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Outputs
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(*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))))
(.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)
(*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))))
(.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)
(*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))))
(.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)
(*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))))
(.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)
(*.f64 z (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 x y))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y)))))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))))
(*.f64 z (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))))

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 t x))
✓	0.0b	(*.f64 z (-.f64 t x))

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(*.f64 z (-.f64 t x))
1.0ms	z	@	0	(*.f64 z (-.f64 t x))
1.0ms	t	@	inf	(*.f64 z (-.f64 t x))
1.0ms	t	@	-inf	(*.f64 z (-.f64 t x))
1.0ms	z	@	inf	(*.f64 z (-.f64 t x))

rewrite41.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1780	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 z (-.f64 t x))

Outputs

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

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

202×	`fma-def_binary64`
124×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
35×	`distribute-rgt-in_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	240
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	419	240
8	595	240
9	733	240
10	745	240

Stop Event

1×

saturated

Counts

55 → 24

Calls

Call 1

Inputs
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))

Outputs
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	14.9b	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
	0.0b	(/.f64 (-.f64 t x) y)
✓	0.0b	(/.f64 (-.f64 t x) y)
✓	14.9b	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))

series8.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(/.f64 (-.f64 t x) y)
1.0ms	y	@	0	(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
1.0ms	y	@	inf	(/.f64 (-.f64 t x) y)
0.0ms	y	@	-inf	(/.f64 (-.f64 t x) y)
0.0ms	t	@	0	(/.f64 (-.f64 t x) y)

rewrite111.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
541×	`prod-diff_binary64`
439×	`pow-prod-down_binary64`
288×	`pow2_binary64`
214×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	201	20
2	3005	20

Stop Event

1×	node limit

Counts

2 → 202

Calls

Call 1

Inputs
(.f64 (.f64 y z) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)

Outputs

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

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

420×	`fma-def_binary64`
241×	`fma-neg_binary64`
88×	`cancel-sign-sub-inv_binary64`
64×	`distribute-rgt-in_binary64`
42×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	17	570
1	32	534
2	57	534
3	84	534
4	124	534
5	210	534
6	378	534
7	556	534
8	832	480
9	1204	480
10	1477	480
11	1494	480
12	1500	480
13	1505	480

Stop Event

1×

saturated

Counts

274 → 214

Calls

Call 1

Inputs
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))

Outputs
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(/.f64 t y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t y) (*.f64 -1 (/.f64 x y)))
(+.f64 (neg.f64 (/.f64 x y)) (/.f64 t y))
(-.f64 (/.f64 t y) (/.f64 x y))
(/.f64 (-.f64 t x) y)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.6b	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
	0.0b	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
	0.0b	(tanh.f64 (/.f64 x y))
	0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
	0.0b	(tanh.f64 (/.f64 x y))
✓	0.0b	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓	11.6b	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))

series40.0ms (0.4%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
9.0ms	t	@	-inf	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
9.0ms	y	@	-inf	(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
2.0ms	y	@	-inf	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
1.0ms	y	@	inf	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
1.0ms	y	@	0	(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))

rewrite177.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

826×	`log-prod_binary64`
509×	`fma-def_binary64`
283×	`log1p-udef_binary64`
282×	`expm1-udef_binary64`
273×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	286	49
2	4569	49

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t y) (neg.f64 (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 t y) (*.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (fma.f64 (neg.f64 (tanh.f64 (/.f64 x y))) 1 (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (tanh.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) 2) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (tanh.f64 (/.f64 x y))) (/.f64 t y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 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simplify210.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

657×	`times-frac_binary64`
544×	`associate-/l*_binary64`
508×	`distribute-rgt-in_binary64`
437×	`distribute-lft-in_binary64`
328×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	7057
1	784	5970
2	3124	5176

Stop Event

1×	node limit

Counts

339 → 281

Calls

Call 1

Inputs
(*.f64 t z)
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(*.f64 z (-.f64 t x))
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(*.f64 t z)
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (.f64 t z))
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(*.f64 t z)
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (*.f64 t z))
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(*.f64 t z)
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(/.f64 t y)
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(/.f64 t y)
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(/.f64 t y)
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(/.f64 (-.f64 t x) y)
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(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(*.f64 t z)
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (+.f64 (*.f64 t z) x))
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (+.f64 (*.f64 t z) x))
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (+.f64 (*.f64 t z) x))

Outputs
(*.f64 t z)
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (.f64 t z))
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(fma.f64 y (.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (.f64 t z))
(.f64 z (+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) y) t))
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(*.f64 z (-.f64 t x))
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(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
(*.f64 z (-.f64 t x))
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(*.f64 z (-.f64 t x))
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(.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 z y))
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z)) x)
(fma.f64 (+.f64 (/.f64 t y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 z y) x)
(fma.f64 (+.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 z y) x)
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (.f64 z y) x)
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z)) x)
(fma.f64 (+.f64 (/.f64 t y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 z y) x)
(fma.f64 (+.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 z y) x)
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (.f64 z y) x)
(+.f64 (.f64 (-.f64 (+.f64 (/.f64 t y) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (*.f64 y z)) x)
(fma.f64 (+.f64 (/.f64 t y) (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (*.f64 z y) x)
(fma.f64 (+.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (*.f64 z y) x)
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (-.f64 (/.f64 t y) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (.f64 z y) x)
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (*.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) x)
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) x)
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (fma.f64 t z x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (fma.f64 t z x))
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) (fma.f64 t z x))
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (fma.f64 t z x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (fma.f64 t z x))
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) (fma.f64 t z x))
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (fma.f64 t z x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (fma.f64 t z x))
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) (fma.f64 t z x))
(*.f64 t z)
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (fma.f64 t z x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (fma.f64 t z x))
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) (fma.f64 t z x))
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (fma.f64 t z x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (fma.f64 t z x))
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) (fma.f64 t z x))
(+.f64 (.f64 y (.f64 z (-.f64 (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))) (+.f64 (.f64 t z) x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))))) (fma.f64 t z x))
(fma.f64 y (*.f64 z (-.f64 (/.f64 1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1)) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))))) (fma.f64 t z x))
(fma.f64 (.f64 z y) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y)))))) (fma.f64 t z x))
(*.f64 t z)
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (+.f64 (*.f64 t z) x))
(fma.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) (fma.f64 t z x))
(-.f64 (fma.f64 t z x) (.f64 z (.f64 (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 -1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1))) y)))
(+.f64 x (.f64 z (-.f64 t (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 (/.f64 x y))))))))))
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (+.f64 (*.f64 t z) x))
(fma.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) (fma.f64 t z x))
(-.f64 (fma.f64 t z x) (.f64 z (.f64 (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 -1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1))) y)))
(+.f64 x (.f64 z (-.f64 t (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 (/.f64 x y))))))))))
(+.f64 (.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (/.f64 1 (exp.f64 (/.f64 x y)))))))))) (+.f64 (*.f64 t z) x))
(fma.f64 -1 (.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y)))) (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 (neg.f64 x) y))))))) (fma.f64 t z x))
(-.f64 (fma.f64 t z x) (.f64 z (.f64 (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 -1 (fma.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x y)) 1))) y)))
(+.f64 x (.f64 z (-.f64 t (.f64 y (-.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (neg.f64 (/.f64 x y))))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 (/.f64 x y))))))))))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	11.1b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
	0.0b	(tanh.f64 (/.f64 t y))
	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
	0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
✓	0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
	0.0b	(tanh.f64 (/.f64 t y))
✓	11.1b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))

series25.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	y	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	y	@	inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	t	@	-inf	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
1.0ms	z	@	0	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`log-prod_binary64`
486×	`fma-def_binary64`
283×	`log1p-udef_binary64`
282×	`expm1-udef_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	286	49
2	4581	49

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

Inputs
(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))

Outputs

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simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

744×	`times-frac_binary64`
592×	`associate-/l*_binary64`
396×	`distribute-rgt-in_binary64`
342×	`cancel-sign-sub-inv_binary64`
326×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	7291
1	834	6050
2	3294	5352

Stop Event

1×	node limit

Counts

332 → 281

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(+.f64 (.f64 (-.f64 t x) z) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (.f64 (-.f64 t x) z) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (.f64 (-.f64 t x) z) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/3 (pow.f64 t 3))))) (.f64 1/2 (pow.f64 t 3))) z) (pow.f64 y 2)) (+.f64 (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)) (/.f64 (.f64 z (-.f64 (.f64 1/2 (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/6 (pow.f64 t 4)) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 -1/2 (pow.f64 t 3)) (.f64 1/6 (pow.f64 t 3)))) t)))))) (+.f64 (.f64 -1/2 (.f64 t (+.f64 (.f64 -1 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (.f64 -1/2 (pow.f64 t 3))))) (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))))))) (pow.f64 y 3)))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (.f64 1/2 (/.f64 (.f64 z (+.f64 (*.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 -1/3 (pow.f64 t 3)) (.f64 1/2 (pow.f64 t 3))))) (.f64 -1/2 (pow.f64 t 3))) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 t) (.f64 -1 x)) z)) (+.f64 (.f64 1/2 (/.f64 (.f64 z (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2))) y)) (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/2 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2))))) (+.f64 (.f64 1/12 (pow.f64 t 4)) (+.f64 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (+.f64 (.f64 1/2 (pow.f64 t 3)) (.f64 -1/6 (pow.f64 t 3)))) t) (.f64 -1/6 (pow.f64 t 4)))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 t 2) (+.f64 (.f64 -1 (pow.f64 t 2)) (pow.f64 t 2)))) (.f64 1/2 (.f64 (+.f64 (.f64 t (+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 1/2 (pow.f64 t 2)))) (*.f64 1/2 (pow.f64 t 3))) t)))) z) (pow.f64 y 3)))))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
(.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z))
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x
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(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 t z) (+.f64 (.f64 -1 (*.f64 z x)) x))
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Outputs
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (/.f64 1 (.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))))) z)) (.f64 -1 (*.f64 z x)))
(fma.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) (.f64 (neg.f64 z) x))
(fma.f64 y (.f64 z (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (.f64 z (neg.f64 x)))
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(fma.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) (.f64 (neg.f64 z) x))
(fma.f64 y (.f64 z (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (.f64 z (neg.f64 x)))
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(fma.f64 y (.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))))) (.f64 (neg.f64 z) x))
(fma.f64 y (.f64 z (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))))) (.f64 z (neg.f64 x)))
(.f64 z (-.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (/.f64 -1 (+.f64 1 (exp.f64 (*.f64 2 (/.f64 t y))))))) x))
(*.f64 (-.f64 t x) z)
(*.f64 z (-.f64 t x))
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(*.f64 z (-.f64 t x))
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(fma.f64 (-.f64 t x) z (+.f64 (.f64 1/2 (/.f64 z (/.f64 y (.f64 0 (.f64 t t))))) (/.f64 (.f64 1/2 (-.f64 (fma.f64 -1 (.f64 t (.f64 (.f64 t t) -1/2)) (.f64 (pow.f64 t 3) -1/6)) (pow.f64 t 3))) (/.f64 (*.f64 y y) z))))
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(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 t z) (+.f64 (.f64 -1 (*.f64 z x)) x))
(fma.f64 (-.f64 t x) z x)
(fma.f64 z (-.f64 t x) x)
(+.f64 (.f64 t z) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (*.f64 z x)) x)))
(fma.f64 t z (fma.f64 -1/3 (/.f64 (.f64 z (pow.f64 t 3)) (.f64 y y)) (fma.f64 -1 (*.f64 z x) x)))
(+.f64 (.f64 -1/3 (/.f64 (.f64 z (pow.f64 t 3)) (*.f64 y y))) (fma.f64 z (-.f64 t x) x))
(+.f64 (.f64 -1/3 (.f64 (/.f64 z (*.f64 y y)) (pow.f64 t 3))) (fma.f64 z (-.f64 t x) x))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) z) (pow.f64 y 4))) (+.f64 (.f64 t z) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 t 3) z) (pow.f64 y 2))) (+.f64 (.f64 -1 (*.f64 z x)) x))))
(fma.f64 2/15 (/.f64 (.f64 z (pow.f64 t 5)) (pow.f64 y 4)) (fma.f64 t z (fma.f64 -1/3 (/.f64 (.f64 z (pow.f64 t 3)) (.f64 y y)) (fma.f64 -1 (.f64 z x) x))))
(fma.f64 2/15 (/.f64 z (/.f64 (pow.f64 y 4) (pow.f64 t 5))) (+.f64 (.f64 -1/3 (/.f64 (.f64 z (pow.f64 t 3)) (*.f64 y y))) (fma.f64 z (-.f64 t x) x)))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 t 5) (pow.f64 y 4)) z) (+.f64 (.f64 -1/3 (.f64 (/.f64 z (.f64 y y)) (pow.f64 t 3))) (fma.f64 z (-.f64 t x) x)))
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)
(+.f64 (.f64 y (.f64 (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y))))) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (/.f64 1 (exp.f64 (/.f64 t y)))))))) z)) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 t y))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (neg.f64 (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 y (*.f64 z (-.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y))))) (/.f64 x y)))) x)
(fma.f64 (.f64 y (+.f64 (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (/.f64 (neg.f64 t) y)))) (-.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 2 (/.f64 t y))))) (/.f64 x y)))) z x)

eval697.0ms (6.8%)

Compiler: Compiled 43603 to 19134 computations (56.1% saved)

prune412.0ms (4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1231	8	1239
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	1233	12	1245

Error

Counts

1245 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
▶	25.3b	(+.f64 x (+.f64 (.f64 t z) (.f64 (neg.f64 x) z)))
▶	29.9b	(*.f64 x (-.f64 1 z))
✓	25.3b	(+.f64 x (*.f64 z (-.f64 t x)))
✓	21.7b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
▶	23.8b	(+.f64 x (*.f64 z t))
✓	5.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
	22.8b	x
	29.0b	(+.f64 x (+.f64 0 (.f64 y (.f64 (/.f64 z y) (-.f64 t x)))))
▶	35.4b	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
✓	25.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
	34.1b	(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))

Compiler

Compiled 253 to 163 computations (35.6% saved)

localize4.0ms (0%)

localize3.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (-.f64 1 z))
✓	0.0b	(*.f64 x (-.f64 1 z))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (-.f64 1 z))
0.0ms	x	@	inf	(*.f64 x (-.f64 1 z))
0.0ms	z	@	inf	(*.f64 x (-.f64 1 z))
0.0ms	x	@	-inf	(*.f64 x (-.f64 1 z))
0.0ms	z	@	0	(*.f64 x (-.f64 1 z))

rewrite40.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1509	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 x (-.f64 1 z))

Outputs

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

126×	`fma-def_binary64`
71×	`fma-neg_binary64`
20×	`cancel-sign-sub-inv_binary64`
20×	`sub-neg_binary64`
17×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	338	160
7	417	160
8	484	160
9	490	160

Stop Event

1×

saturated

Counts

41 → 23

Calls

Call 1

Inputs
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
(*.f64 (-.f64 1 z) x)
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)

Outputs
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 (-.f64 1 z) x)
(-.f64 x (*.f64 z x))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	12.2b	(.f64 (.f64 y z) (/.f64 t y))
✓	12.2b	(.f64 (.f64 y z) (/.f64 t y))

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (.f64 y z) (/.f64 t y))
0.0ms	t	@	inf	(.f64 (.f64 y z) (/.f64 t y))
0.0ms	z	@	-inf	(.f64 (.f64 y z) (/.f64 t y))
0.0ms	z	@	0	(.f64 (.f64 y z) (/.f64 t y))
0.0ms	z	@	inf	(.f64 (.f64 y z) (/.f64 t y))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
748×	`add-log-exp_binary64`
748×	`log1p-expm1-u_binary64`
748×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	147	10
2	1998	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 (.f64 y z) (/.f64 t y))

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144
1	5	144

Stop Event

1×

saturated

Counts

58 → 23

Calls

Call 1

Inputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)

Outputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	13.0b	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
	0.0b	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
✓	0.0b	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
✓	13.0b	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
1.0ms	y	@	0	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
1.0ms	z	@	0	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
1.0ms	x	@	0	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
1.0ms	z	@	inf	(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
382×	`exp-prod_binary64`
276×	`fma-def_binary64`
245×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	203	21
2	3201	21

Stop Event

1×	node limit

Counts

2 → 228

Calls

Call 1

Inputs
(.f64 (.f64 y z) (/.f64 (neg.f64 x) y))
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y (/.f64 (*.f64 z x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (/.f64 (*.f64 z x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (*.f64 z x) y) x)) (/.f64 (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 2) (fma.f64 y (/.f64 (*.f64 z x) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x) 2) (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x)) (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x) 2)) (cbrt.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x)) (sqrt.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 3)) (/.f64 1 (fma.f64 (*.f64 y (/.f64 (*.f64 z x) y)) (fma.f64 y (/.f64 (*.f64 z x) y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 (*.f64 z x) y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 z x) y)) (fma.f64 y (/.f64 (*.f64 z x) y) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x) 2) (fma.f64 y (/.f64 (*.f64 z x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 3)) (fma.f64 (*.f64 y (/.f64 (*.f64 z x) y)) (fma.f64 y (/.f64 (*.f64 z x) y) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 3)) (+.f64 (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) (/.f64 (*.f64 z x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (/.f64 (*.f64 z x) y)) 3))) (neg.f64 (fma.f64 (*.f64 y (/.f64 (*.f64 z x) y)) (fma.f64 y (/.f64 (*.f64 z x) y) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x) 2)) (neg.f64 (fma.f64 y (/.f64 (*.f64 z x) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 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simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

171×	`fma-def_binary64`
66×	`fma-neg_binary64`
25×	`associate-l_binary64`
24×	`distribute-rgt-in_binary64`
23×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	493
1	34	460
2	69	460
3	133	460
4	213	460
5	348	460
6	543	460
7	560	460

Stop Event

1×

saturated

Counts

300 → 235

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 -1 (.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 (+.f64 (.f64 -1 z) 1) x)
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)

Outputs
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 (+.f64 (.f64 -1 z) 1) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 (-.f64 z 1) x))
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(.f64 -1 (.f64 z x))
(*.f64 (neg.f64 z) x)
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(*.f64 x (fma.f64 -1 z 1))
(fma.f64 (neg.f64 z) x x)
(fma.f64 x (neg.f64 z) x)
(-.f64 x (*.f64 z x))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
✓	0.8b	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
0.0ms	x	@	0	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
0.0ms	z	@	-inf	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
0.0ms	t	@	inf	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))
0.0ms	t	@	-inf	(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2561	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (.f64 t z) (.f64 (neg.f64 x) z))

Outputs

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

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

165×	`fma-def_binary64`
110×	`fma-neg_binary64`
38×	`unsub-neg_binary64`
34×	`cancel-sign-sub-inv_binary64`
30×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 (+.f64 t (.f64 -1 x)) z)
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))

Outputs
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 (+.f64 t (.f64 -1 x)) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 (+.f64 (*.f64 -1 t) x) z))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))

eval64.0ms (0.6%)

Compiler: Compiled 5607 to 1345 computations (76% saved)

prune88.0ms (0.9%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	318	15	333
Fresh	3	0	3
Picked	1	0	1
Done	0	8	8
Total	322	23	345

Error

Counts

345 → 23

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.3b	(+.f64 x (-.f64 (.f64 t z) (.f64 z x)))
	32.7b	(+.f64 x (expm1.f64 (log1p.f64 (.f64 y (.f64 z (/.f64 t y))))))
▶	31.9b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
✓	35.4b	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
	62.4b	(-.f64 (.f64 y (/.f64 (.f64 z x) y)) x)
✓	29.9b	(*.f64 x (-.f64 1 z))
	37.4b	(fma.f64 (/.f64 x y) (*.f64 y z) x)
	37.2b	(+.f64 x (/.f64 (*.f64 y z) (/.f64 y x)))
▶	28.5b	(+.f64 x (/.f64 (*.f64 y z) (/.f64 y t)))
✓	25.3b	(+.f64 x (*.f64 z (-.f64 t x)))
	31.2b	(-.f64 x (.f64 y (/.f64 (.f64 z x) y)))
✓	21.7b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	28.0b	(+.f64 x (-.f64 (+.f64 1 (.f64 y (.f64 z (/.f64 t y)))) 1))
	41.2b	(-.f64 (+.f64 1 (*.f64 x (-.f64 1 z))) 1)
✓	23.8b	(+.f64 x (*.f64 z t))
✓	25.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
▶	35.2b	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
	35.0b	(/.f64 1 (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))
✓	5.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
▶	57.8b	(*.f64 z (neg.f64 x))
✓	28.5b	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	22.8b	x
	37.7b	(+.f64 x (pow.f64 (pow.f64 (.f64 y (.f64 z (/.f64 t y))) 3) 1/3))

Compiler

Compiled 500 to 333 computations (33.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.8b	(-.f64 (.f64 t z) (.f64 z x))
✓	0.8b	(-.f64 (.f64 t z) (.f64 z x))

series14.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(-.f64 (.f64 t z) (.f64 z x))
0.0ms	t	@	0	(-.f64 (.f64 t z) (.f64 z x))
0.0ms	x	@	-inf	(-.f64 (.f64 t z) (.f64 z x))
0.0ms	z	@	-inf	(-.f64 (.f64 t z) (.f64 z x))
0.0ms	x	@	inf	(-.f64 (.f64 t z) (.f64 z x))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2221	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(-.f64 (.f64 t z) (.f64 z x))

Outputs

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

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`distribute-rgt-in_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	330
1	43	240
2	97	240
3	240	240
4	399	240
5	520	240
6	589	240
7	594	240

Stop Event

1×

saturated

Counts

85 → 56

Calls

Call 1

Inputs
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) z)
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(*.f64 t z)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))

Outputs
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 (-.f64 t x) z)
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z (-.f64 (.f64 -1 t) (.f64 -1 x))))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(*.f64 t z)
(*.f64 z t)
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))
(+.f64 (.f64 t z) (.f64 -1 (*.f64 z x)))
(fma.f64 t z (neg.f64 (*.f64 z x)))
(*.f64 z (-.f64 t x))

localize3.0ms (0%)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	12.2b	(/.f64 (*.f64 y z) (/.f64 y t))
✓	12.2b	(/.f64 (*.f64 y z) (/.f64 y t))

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (*.f64 y z) (/.f64 y t))
0.0ms	y	@	inf	(/.f64 (*.f64 y z) (/.f64 y t))
0.0ms	t	@	-inf	(/.f64 (*.f64 y z) (/.f64 y t))
0.0ms	z	@	inf	(/.f64 (*.f64 y z) (/.f64 y t))
0.0ms	t	@	inf	(/.f64 (*.f64 y z) (/.f64 y t))

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
895×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
80×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	2340	10

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) (/.f64 y t))

Outputs

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

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	144
1	5	144

Stop Event

1×

saturated

Counts

90 → 55

Calls

Call 1

Inputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)

Outputs
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)
(*.f64 t z)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.0b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
	4.0b	(.f64 (-.f64 1 (.f64 z z)) x)
	0.0b	(-.f64 1 (*.f64 z z))
✓	0.0b	(-.f64 1 (*.f64 z z))
✓	4.0b	(.f64 (-.f64 1 (.f64 z z)) x)
✓	5.0b	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (-.f64 1 (.f64 z z)) x)
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
383×	`prod-diff_binary64`
334×	`pow-prod-down_binary64`
261×	`pow2_binary64`
224×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	200	24
2	2902	24

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
(.f64 (-.f64 1 (.f64 z z)) x)
(-.f64 1 (*.f64 z z))

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-neg_binary64`
433×	`div-sub_binary64`
420×	`associate-/l*_binary64`
368×	`associate-l_binary64`
333×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	507
1	46	465
2	100	465
3	215	465
4	608	465
5	2106	465
6	4948	465
7	7848	465

Stop Event

1×	node limit

Counts

202 → 157

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(+.f64 (.f64 -1 (.f64 z x)) x)
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
x
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(.f64 -1 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(.f64 -1 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
1
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(*.f64 -1 (pow.f64 z 2))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))

Outputs
x
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(+.f64 (.f64 -1 (.f64 z x)) x)
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 2)) x) (+.f64 1 z))
(fma.f64 -1 (*.f64 x z) x)
(-.f64 x (*.f64 x z))
(*.f64 x (-.f64 1 z))
x
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(.f64 -1 (.f64 (pow.f64 z 2) x))
(.f64 (neg.f64 (.f64 z z)) x)
(.f64 x (.f64 z (neg.f64 z)))
(.f64 z (.f64 z (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(.f64 -1 (.f64 (pow.f64 z 2) x))
(.f64 (neg.f64 (.f64 z z)) x)
(.f64 x (.f64 z (neg.f64 z)))
(.f64 z (.f64 z (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
(*.f64 (-.f64 1 (pow.f64 z 2)) x)
(fma.f64 -1 (.f64 x (.f64 z z)) x)
(-.f64 x (.f64 z (.f64 x z)))
(fma.f64 z (*.f64 z (neg.f64 x)) x)
(.f64 x (-.f64 1 (.f64 z z)))
(*.f64 x (fma.f64 z (neg.f64 z) 1))
1
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(*.f64 -1 (pow.f64 z 2))
(neg.f64 (*.f64 z z))
(*.f64 z (neg.f64 z))
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)
(+.f64 1 (*.f64 -1 (pow.f64 z 2)))
(-.f64 1 (*.f64 z z))
(fma.f64 z (neg.f64 z) 1)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.3b	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
	5.4b	(.f64 y (.f64 z x))
✓	5.4b	(.f64 y (.f64 z x))
✓	6.3b	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)

series13.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
1.0ms	y	@	0	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
1.0ms	x	@	-inf	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
1.0ms	x	@	0	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
1.0ms	y	@	-inf	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
782×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	179	20
2	2157	20

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
(.f64 y (.f64 z x))

Outputs

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

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

68×	`fma-def_binary64`
53×	`fma-neg_binary64`
19×	`unsub-neg_binary64`
17×	`distribute-rgt-in_binary64`
16×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	174
1	31	174
2	63	174
3	140	174
4	238	174
5	335	174
6	395	174

Stop Event

1×

saturated

Counts

70 → 40

Calls

Call 1

Inputs
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
x
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(+.f64 (*.f64 z x) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(*.f64 (+.f64 1 z) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))

Outputs
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
x
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 z x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(+.f64 (*.f64 z x) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(*.f64 (+.f64 1 z) x)
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 z) 1) x))
(fma.f64 z x x)

eval125.0ms (1.2%)

Compiler: Compiled 4467 to 2070 computations (53.7% saved)

prune79.0ms (0.8%)

Pruning

31 alts after pruning (19 fresh and 12 done)

	Pruned	Kept	Total
New	295	13	308
Fresh	4	6	10
Picked	0	1	1
Done	1	11	12
Total	300	31	331

Error

Counts

331 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(/.f64 (*.f64 1 x) (+.f64 1 z))
	32.9b	(+.f64 x (.f64 (.f64 (.f64 z (+.f64 t x)) (.f64 z (-.f64 t x))) (/.f64 1 (*.f64 z (+.f64 t x)))))
✓	25.3b	(+.f64 x (-.f64 (.f64 t z) (.f64 z x)))
	31.6b	(.f64 (-.f64 1 (.f64 z z)) (*.f64 x (/.f64 1 (+.f64 1 z))))
	42.7b	(/.f64 (expm1.f64 (log1p.f64 (.f64 (-.f64 1 (.f64 z z)) x))) (+.f64 1 z))
	31.7b	(.f64 (-.f64 1 (.f64 z z)) (/.f64 1 (/.f64 (+.f64 1 z) x)))
✓	35.4b	(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
	62.4b	(-.f64 (.f64 y (/.f64 (.f64 z x) y)) x)
✓	29.9b	(*.f64 x (-.f64 1 z))
	37.4b	(fma.f64 (/.f64 x y) (*.f64 y z) x)
	37.2b	(+.f64 x (/.f64 (*.f64 y z) (/.f64 y x)))
✓	28.5b	(+.f64 x (/.f64 (*.f64 y z) (/.f64 y t)))
✓	25.3b	(+.f64 x (*.f64 z (-.f64 t x)))
	31.2b	(-.f64 x (.f64 y (/.f64 (.f64 z x) y)))
✓	21.7b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
	41.2b	(-.f64 (+.f64 1 (*.f64 x (-.f64 1 z))) 1)
✓	23.8b	(+.f64 x (*.f64 z t))
✓	25.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓	35.2b	(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
	31.9b	(.f64 (/.f64 1 (+.f64 1 z)) (.f64 (-.f64 1 (*.f64 z z)) x))
✓	5.3b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓	57.8b	(*.f64 z (neg.f64 x))
	22.8b	x
	60.1b	(/.f64 (.f64 (.f64 z (neg.f64 z)) x) (+.f64 1 z))
	37.7b	(+.f64 x (pow.f64 (pow.f64 (.f64 y (.f64 z (/.f64 t y))) 3) 1/3))
	46.0b	(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 z x)) y) (/.f64 (.f64 y (.f64 z x)) y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 z x)) y) x))
	28.0b	(+.f64 x (.f64 y (.f64 z (/.f64 t y))))
✓	28.5b	(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
	46.3b	(-.f64 (+.f64 1 (+.f64 x (/.f64 (.f64 y (.f64 z x)) y))) 1)
	61.7b	(*.f64 z x)
	37.9b	(+.f64 x (exp.f64 (log.f64 (*.f64 t (/.f64 z (/.f64 y y))))))

Compiler

Compiled 448 to 291 computations (35% saved)

regimes221.0ms (2.2%)

Counts

42 → 2

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 1 z))
(+.f64 x (*.f64 z t))
(/.f64 (*.f64 1 x) (+.f64 1 z))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (.f64 y (.f64 z (/.f64 t y))))
(+.f64 x (-.f64 (.f64 t z) (.f64 z x)))
(-.f64 (.f64 y (/.f64 (.f64 z x) y)) x)
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y t)))
(-.f64 x (.f64 y (/.f64 (.f64 z x) y)))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 z))) 1)
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(/.f64 (.f64 (.f64 z (neg.f64 z)) x) (+.f64 1 z))
(+.f64 x (+.f64 (.f64 t z) (.f64 (neg.f64 x) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(.f64 (-.f64 1 (.f64 z z)) (*.f64 x (/.f64 1 (+.f64 1 z))))
(.f64 (-.f64 1 (.f64 z z)) (/.f64 1 (/.f64 (+.f64 1 z) x)))
(.f64 (/.f64 1 (+.f64 1 z)) (.f64 (-.f64 1 (*.f64 z z)) x))
(-.f64 (+.f64 1 (+.f64 x (/.f64 (.f64 y (.f64 z x)) y))) 1)
(+.f64 x (-.f64 (+.f64 1 (.f64 y (.f64 z (/.f64 t y)))) 1))
(+.f64 x (+.f64 0 (.f64 y (.f64 (/.f64 z y) (-.f64 t x)))))
(+.f64 x (.f64 (.f64 (.f64 z (+.f64 t x)) (.f64 z (-.f64 t x))) (/.f64 1 (*.f64 z (+.f64 t x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 z x)) y) (/.f64 (.f64 y (.f64 z x)) y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 z x)) y) x))
(fma.f64 (/.f64 x y) (*.f64 y z) x)
(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
(/.f64 1 (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (exp.f64 (log.f64 (*.f64 t (/.f64 z (/.f64 y y))))))
(+.f64 x (expm1.f64 (log1p.f64 (.f64 y (.f64 z (/.f64 t y))))))
(/.f64 (expm1.f64 (log1p.f64 (.f64 (-.f64 1 (.f64 z z)) x))) (+.f64 1 z))
(+.f64 x (pow.f64 (pow.f64 (.f64 y (.f64 z (/.f64 t y))) 3) 1/3))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (+.f64 0 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))

Outputs
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (+.f64 0 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))

Calls

5 calls:

68.0ms	y
54.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
37.0ms	z
27.0ms	t
22.0ms	x

Results

Error	Segments	Branch
2.6b	1	`x`
1.3b	2	`y`
2.6b	1	`z`
2.6b	1	`t`
2.6b	1	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 478 to 202 computations (57.7% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	-1.4949197465703923e+205	-4.1098085539384925e+204

Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes318.0ms (3.1%)

Counts

41 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 1 z))
(+.f64 x (*.f64 z t))
(/.f64 (*.f64 1 x) (+.f64 1 z))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (.f64 y (.f64 z (/.f64 t y))))
(+.f64 x (-.f64 (.f64 t z) (.f64 z x)))
(-.f64 (.f64 y (/.f64 (.f64 z x) y)) x)
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y t)))
(-.f64 x (.f64 y (/.f64 (.f64 z x) y)))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 z))) 1)
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(/.f64 (.f64 (.f64 z (neg.f64 z)) x) (+.f64 1 z))
(+.f64 x (+.f64 (.f64 t z) (.f64 (neg.f64 x) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(.f64 (-.f64 1 (.f64 z z)) (*.f64 x (/.f64 1 (+.f64 1 z))))
(.f64 (-.f64 1 (.f64 z z)) (/.f64 1 (/.f64 (+.f64 1 z) x)))
(.f64 (/.f64 1 (+.f64 1 z)) (.f64 (-.f64 1 (*.f64 z z)) x))
(-.f64 (+.f64 1 (+.f64 x (/.f64 (.f64 y (.f64 z x)) y))) 1)
(+.f64 x (-.f64 (+.f64 1 (.f64 y (.f64 z (/.f64 t y)))) 1))
(+.f64 x (+.f64 0 (.f64 y (.f64 (/.f64 z y) (-.f64 t x)))))
(+.f64 x (.f64 (.f64 (.f64 z (+.f64 t x)) (.f64 z (-.f64 t x))) (/.f64 1 (*.f64 z (+.f64 t x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 z x)) y) (/.f64 (.f64 y (.f64 z x)) y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 z x)) y) x))
(fma.f64 (/.f64 x y) (*.f64 y z) x)
(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
(/.f64 1 (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (exp.f64 (log.f64 (*.f64 t (/.f64 z (/.f64 y y))))))
(+.f64 x (expm1.f64 (log1p.f64 (.f64 y (.f64 z (/.f64 t y))))))
(/.f64 (expm1.f64 (log1p.f64 (.f64 (-.f64 1 (.f64 z z)) x))) (+.f64 1 z))
(+.f64 x (pow.f64 (pow.f64 (.f64 y (.f64 z (/.f64 t y))) 3) 1/3))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Outputs
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 z (-.f64 t x)))

Calls

5 calls:

121.0ms	z
99.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
40.0ms	y
23.0ms	t
22.0ms	x

Results

Error	Segments	Branch
5.3b	1	`x`
2.5b	2	`y`
4.0b	3	`z`
5.3b	1	`t`
0.8b	3	`(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))`

Compiler

Compiled 461 to 197 computations (57.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5879232323492605e+305	+inf
0.0ms	-inf	-2.9873145673969122e+305

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes1.1s (10.3%)

Counts

40 → 5

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 1 z))
(+.f64 x (*.f64 z t))
(/.f64 (*.f64 1 x) (+.f64 1 z))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (.f64 y (.f64 z (/.f64 t y))))
(+.f64 x (-.f64 (.f64 t z) (.f64 z x)))
(-.f64 (.f64 y (/.f64 (.f64 z x) y)) x)
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y t)))
(-.f64 x (.f64 y (/.f64 (.f64 z x) y)))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 z))) 1)
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(/.f64 (.f64 (.f64 z (neg.f64 z)) x) (+.f64 1 z))
(+.f64 x (+.f64 (.f64 t z) (.f64 (neg.f64 x) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(.f64 (-.f64 1 (.f64 z z)) (*.f64 x (/.f64 1 (+.f64 1 z))))
(.f64 (-.f64 1 (.f64 z z)) (/.f64 1 (/.f64 (+.f64 1 z) x)))
(.f64 (/.f64 1 (+.f64 1 z)) (.f64 (-.f64 1 (*.f64 z z)) x))
(-.f64 (+.f64 1 (+.f64 x (/.f64 (.f64 y (.f64 z x)) y))) 1)
(+.f64 x (-.f64 (+.f64 1 (.f64 y (.f64 z (/.f64 t y)))) 1))
(+.f64 x (+.f64 0 (.f64 y (.f64 (/.f64 z y) (-.f64 t x)))))
(+.f64 x (.f64 (.f64 (.f64 z (+.f64 t x)) (.f64 z (-.f64 t x))) (/.f64 1 (*.f64 z (+.f64 t x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 z x)) y) (/.f64 (.f64 y (.f64 z x)) y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 z x)) y) x))
(fma.f64 (/.f64 x y) (*.f64 y z) x)
(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
(/.f64 1 (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (.f64 (.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (exp.f64 (log.f64 (*.f64 t (/.f64 z (/.f64 y y))))))
(+.f64 x (expm1.f64 (log1p.f64 (.f64 y (.f64 z (/.f64 t y))))))
(/.f64 (expm1.f64 (log1p.f64 (.f64 (-.f64 1 (.f64 z z)) x))) (+.f64 1 z))
(+.f64 x (pow.f64 (pow.f64 (.f64 y (.f64 z (/.f64 t y))) 3) 1/3))

Outputs
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
x
(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 z (-.f64 t x)))

Calls

4 calls:

664.0ms	z
136.0ms	y
128.0ms	x
115.0ms	t

Results

Error	Segments	Branch
9.4b	5	`x`
9.4b	5	`y`
13.9b	10	`z`
13.4b	5	`t`

Compiler

Compiled 427 to 182 computations (57.4% saved)

bsearch158.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	1.6774151756803777e+144	2.1819245171318207e+144
62.0ms	1.2905816138505215e-118	1.4966231487137981e-114
40.0ms	-49216123.89893864	-10820.903391940765
27.0ms	-2.4711346665529164e+154	-5.496169334647818e+151

Compiler

Compiled 88 to 58 computations (34.1% saved)

regimes400.0ms (3.9%)

Counts

34 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 1 z))
(+.f64 x (*.f64 z t))
(/.f64 (*.f64 1 x) (+.f64 1 z))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (.f64 y (.f64 z (/.f64 t y))))
(+.f64 x (-.f64 (.f64 t z) (.f64 z x)))
(-.f64 (.f64 y (/.f64 (.f64 z x) y)) x)
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y x)))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y t)))
(-.f64 x (.f64 y (/.f64 (.f64 z x) y)))
(-.f64 (+.f64 1 (*.f64 x (-.f64 1 z))) 1)
(+.f64 x (.f64 (.f64 y z) (/.f64 t y)))
(/.f64 (.f64 (.f64 z (neg.f64 z)) x) (+.f64 1 z))
(+.f64 x (+.f64 (.f64 t z) (.f64 (neg.f64 x) z)))
(+.f64 x (.f64 (.f64 y z) (/.f64 (neg.f64 x) y)))
(/.f64 (.f64 (-.f64 1 (.f64 z z)) x) (+.f64 1 z))
(+.f64 x (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
(+.f64 x (.f64 (.f64 y z) (/.f64 (-.f64 t x) y)))
(.f64 (-.f64 1 (.f64 z z)) (*.f64 x (/.f64 1 (+.f64 1 z))))
(.f64 (-.f64 1 (.f64 z z)) (/.f64 1 (/.f64 (+.f64 1 z) x)))
(.f64 (/.f64 1 (+.f64 1 z)) (.f64 (-.f64 1 (*.f64 z z)) x))
(-.f64 (+.f64 1 (+.f64 x (/.f64 (.f64 y (.f64 z x)) y))) 1)
(+.f64 x (-.f64 (+.f64 1 (.f64 y (.f64 z (/.f64 t y)))) 1))
(+.f64 x (+.f64 0 (.f64 y (.f64 (/.f64 z y) (-.f64 t x)))))
(+.f64 x (.f64 (.f64 (.f64 z (+.f64 t x)) (.f64 z (-.f64 t x))) (/.f64 1 (*.f64 z (+.f64 t x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 z x)) y) (/.f64 (.f64 y (.f64 z x)) y)) (.f64 x x)) (-.f64 (/.f64 (.f64 y (.f64 z x)) y) x))
(fma.f64 (/.f64 x y) (*.f64 y z) x)
(fma.f64 (.f64 y (.f64 z x)) (/.f64 1 y) x)
(/.f64 1 (/.f64 1 (fma.f64 y (/.f64 (*.f64 z x) y) x)))

Outputs
(+.f64 x (*.f64 z (-.f64 t x)))
x
(+.f64 x (*.f64 z (-.f64 t x)))

Calls

4 calls:

166.0ms	z
113.0ms	t
66.0ms	y
44.0ms	x

Results

Error	Segments	Branch
16.4b	3	`x`
13.8b	3	`y`
16.8b	7	`z`
17.5b	4	`t`

Compiler

Compiled 351 to 152 computations (56.7% saved)

bsearch69.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	6.371986758746043e+107	1.4279576816849474e+127
42.0ms	-2.971174748436416e+45	-6.371399985497363e+43

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes135.0ms (1.3%)

Counts

8 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 1 z))
(+.f64 x (*.f64 z t))
(/.f64 (*.f64 1 x) (+.f64 1 z))

Outputs
(+.f64 x (*.f64 z t))
x
(+.f64 x (*.f64 z t))

Calls

4 calls:

31.0ms	t
25.0ms	x
21.0ms	y
20.0ms	z

Results

Error	Segments	Branch
17.4b	4	`x`
16.6b	3	`y`
20.6b	4	`z`
16.8b	5	`t`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch305.0ms (3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
271.0ms	9.285280721881383e+133	2.2278466733388523e+141
33.0ms	-49216123.89893864	-10820.903391940765

Compiler

Compiled 170 to 126 computations (25.9% saved)

regimes49.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))
(*.f64 x (-.f64 1 z))

Outputs
x
(*.f64 x (-.f64 1 z))
x

Calls

4 calls:

15.0ms	x
14.0ms	t
10.0ms	z
9.0ms	y

Results

Error	Segments	Branch
21.3b	3	`x`
21.3b	2	`y`
22.8b	1	`z`
21.7b	3	`t`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch60.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	3.382678793756946e+96	3.556536666247442e+100
28.0ms	2.8852920630946987e-176	8.298385852543994e-174

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes25.0ms (0.2%)

Accuracy

Total -39.9b remaining (-174.7%)

Threshold costs -39.9b (-174.7%)

Counts

5 → 1

Calls

Call 1

Inputs
x
x
x
(*.f64 z x)
(*.f64 z (neg.f64 x))

Outputs
x

Calls

4 calls:

6.0ms	x
4.0ms	z
4.0ms	t
4.0ms	y

Results

Error	Segments	Branch
22.8b	1	`x`
22.8b	1	`y`
22.8b	1	`z`
22.8b	1	`t`

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	307
1	91	307
2	105	307
3	113	307
4	117	307

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y -10000000000000000166160354728550133402860267619935663985128064995273039068626355013257451286926569625748622041088095949318798038992779336698179926498716835527012730124200454693714718121768282606166882648064) (+.f64 x (.f64 z (-.f64 t x))) (+.f64 x (+.f64 0 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) -inf.0) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (+.f64 x (.f64 z (-.f64 t x)))))
(if (<=.f64 y -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 y -211381642581825472/4294967296) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 y 93804469381047856/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) x (if (<=.f64 y 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (.f64 z (-.f64 t x)))))))
(if (<=.f64 y -2971174748436415802167720936118922392778047488) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 y 637198675874604280852628672515919580202506311398356626148736092094020877899820998197607032739670952142438400) x (+.f64 x (.f64 z (-.f64 t x)))))
(if (<=.f64 y -211381642581825472/4294967296) (+.f64 x (.f64 z t)) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) x (+.f64 x (.f64 z t))))
(if (<=.f64 x 131639737023661952/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 x 3382678793756946153133676143980574798342055580765500426474507813902255232518204682817206308831232) (*.f64 x (-.f64 1 z)) x))
x

Outputs
(if (<=.f64 y -10000000000000000166160354728550133402860267619935663985128064995273039068626355013257451286926569625748622041088095949318798038992779336698179926498716835527012730124200454693714718121768282606166882648064) (+.f64 x (.f64 z (-.f64 t x))) (+.f64 x (+.f64 0 (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))))
(if (<=.f64 y -10000000000000000166160354728550133402860267619935663985128064995273039068626355013257451286926569625748622041088095949318798038992779336698179926498716835527012730124200454693714718121768282606166882648064) (+.f64 x (.f64 z (-.f64 t x))) (+.f64 x (.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) -inf.0) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (+.f64 x (.f64 z (-.f64 t x)))))
(if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) -inf.0) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (+.f64 x (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (.f64 y z))) (+.f64 x (.f64 z (-.f64 t x)))))
(if (<=.f64 y -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 y -211381642581825472/4294967296) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 y 93804469381047856/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) x (if (<=.f64 y 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (.f64 z (-.f64 t x)))))))
(if (<=.f64 y -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 y -3302838165341023/67108864) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (if (<=.f64 y 5862779336315491/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) x (if (<=.f64 y 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (.f64 z (-.f64 t x)))))))
(if (<=.f64 y -2971174748436415802167720936118922392778047488) (+.f64 x (.f64 z (-.f64 t x))) (if (<=.f64 y 637198675874604280852628672515919580202506311398356626148736092094020877899820998197607032739670952142438400) x (+.f64 x (.f64 z (-.f64 t x)))))
(if (<=.f64 y -211381642581825472/4294967296) (+.f64 x (.f64 z t)) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) x (+.f64 x (.f64 z t))))
(if (<=.f64 y -3302838165341023/67108864) (+.f64 x (.f64 z t)) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) x (+.f64 x (.f64 z t))))
(if (<=.f64 x 131639737023661952/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 x 3382678793756946153133676143980574798342055580765500426474507813902255232518204682817206308831232) (*.f64 x (-.f64 1 z)) x))
(if (<=.f64 x 1028435445497359/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) x (if (<=.f64 x 3382678793756946153133676143980574798342055580765500426474507813902255232518204682817206308831232) (*.f64 x (-.f64 1 z)) x))
x

end104.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 448 to 172 computations (61.6% saved)

Iter	Nodes	Cost
0	11	240
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	419	240
8	595	240
9	733	240
10	745	240

Iter	Nodes	Cost
0	10	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	338	160
7	417	160
8	484	160
9	490	160

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	240

Iter	Nodes	Cost
0	11	240
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	419	240
8	595	240
9	733	240
10	745	240

Iter	Nodes	Cost
0	10	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	338	160
7	417	160
8	484	160
9	490	160

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	240

Iter	Nodes	Cost
0	11	240
1	22	240
2	40	240
3	61	240
4	92	240
5	158	240
6	287	240
7	419	240
8	595	240
9	733	240
10	745	240

Iter	Nodes	Cost
0	10	160
1	22	160
2	44	160
3	66	160
4	114	160
5	201	160
6	338	160
7	417	160
8	484	160
9	490	160

Iter	Nodes	Cost
0	16	330
1	37	240
2	77	240
3	151	240
4	308	240
5	469	240
6	636	240
7	709	240
8	711	240