Details

analyze373.0ms (16.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
13%	12.5%	83.4%	0.2%	3.9%	0%	0%	11
19.6%	18.7%	76.8%	0.2%	4.3%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.4s (61.8%)

Results

1.1s	8256×	body	256	valid
307.0ms	2122×	body	256	infinite

Bogosity

preprocess19.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

13×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`swap-z-t`
1×	`swap-x-y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	34	56
2	40	56
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3
2

Call 2

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

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

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 17 to 8 computations (52.9% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x y (*.f64 z t))
▶	0.0b	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series6.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

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

rewrite58.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	336
1	12	336
2	15	336

Stop Event

1×

saturated

Counts

85 → 41

Calls

Call 1

Inputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))

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

localize7.0ms (0.3%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

eval9.0ms (0.4%)

Compiler: Compiled 557 to 172 computations (69.1% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Error

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(*.f64 y x)
▶	33.7b	(*.f64 t z)
✓	0b	(fma.f64 x y (*.f64 z t))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize4.0ms (0.2%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize4.0ms (0.2%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.3b	(*.f64 y x)
✓	33.7b	(*.f64 t z)
✓	0b	(fma.f64 x y (*.f64 z t))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes34.0ms (1.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 t z)
(+.f64 (.f64 x y) (.f64 z t))
(fma.f64 x y (*.f64 z t))

Outputs
(fma.f64 x y (*.f64 z t))

Calls

8 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
4.0ms	y
4.0ms	(*.f64 z t)
4.0ms	(*.f64 x y)
4.0ms	(*.f64 x y)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`t`
0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0b	1	`(*.f64 x y)`
0b	1	`(*.f64 x y)`
0b	1	`(*.f64 z t)`

Compiler

Compiled 75 to 48 computations (36% saved)

regimes27.0ms (1.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 t z)
(+.f64 (.f64 x y) (.f64 z t))

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

Calls

7 calls:

4.0ms	(*.f64 x y)
4.0ms	z
4.0ms	x
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`

Compiler

Compiled 62 to 42 computations (32.3% saved)

regimes88.0ms (3.8%)

Accuracy

Total -46.1b remaining (-316.6%)

Threshold costs -46.1b (-316.6%)

Counts

2 → 7

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	y
21.0ms	t
18.0ms	z
17.0ms	x

Results

Error	Segments	Branch
18.1b	5	`x`
15.2b	9	`y`
17.5b	5	`z`
14.6b	7	`t`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch163.0ms (7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
77.0ms	1.3708345092939034e+90	2.996029206451892e+94
12.0ms	9.649223352616399e+67	1.0029448497832813e+68
18.0ms	46740750080.63291	39714027756931976.0
18.0ms	6.0814158021374945e-52	6.736713246665906e-37
18.0ms	2.6409037924223855e-68	6.099878692185555e-66
19.0ms	-4.538198776269495e-105	-3.345764444520586e-116

Compiler

Compiled 162 to 121 computations (25.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	86
1	33	86

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x y (*.f64 z t))
(+.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 t -5859381618378031/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 t z) (if (<=.f64 t 6413002056124903/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 y x) (if (<=.f64 t 8197732284319699/13479973333575319897333507543509815336818572211270286240551805124608) (.f64 t z) (if (<=.f64 t 6126403594568717/131072) (.f64 y x) (if (<=.f64 t 97999999999999998008888491498649945860835218440398373904521057271808) (.f64 t z) (if (<=.f64 t 29499999999999999484852877572864960096713385451419637972172564467986703368653040650115541368832) (.f64 y x) (*.f64 t z)))))))
(*.f64 y x)

Outputs
(fma.f64 x y (*.f64 z t))
(+.f64 (.f64 x y) (.f64 z t))
(+.f64 (.f64 z t) (.f64 x y))
(if (<=.f64 t -5859381618378031/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 t z) (if (<=.f64 t 6413002056124903/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 y x) (if (<=.f64 t 8197732284319699/13479973333575319897333507543509815336818572211270286240551805124608) (.f64 t z) (if (<=.f64 t 6126403594568717/131072) (.f64 y x) (if (<=.f64 t 97999999999999998008888491498649945860835218440398373904521057271808) (.f64 t z) (if (<=.f64 t 29499999999999999484852877572864960096713385451419637972172564467986703368653040650115541368832) (.f64 y x) (*.f64 t z)))))))
(if (<=.f64 t -5859381618378031/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688) (.f64 z t) (if (<=.f64 t 6413002056124903/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 x y) (if (<=.f64 t 8197732284319699/13479973333575319897333507543509815336818572211270286240551805124608) (.f64 z t) (if (<=.f64 t 6126403594568717/131072) (.f64 x y) (if (<=.f64 t 97999999999999998008888491498649945860835218440398373904521057271808) (.f64 z t) (if (<=.f64 t 29499999999999999484852877572864960096713385451419637972172564467986703368653040650115541368832) (.f64 x y) (*.f64 z t)))))))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 77 to 42 computations (45.5% saved)

soundness8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8

Stop Event

1×

saturated

Compiler

Compiled 21 to 13 computations (38.1% saved)

end38.0ms (1.6%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 105 to 50 computations (52.4% saved)

Details

analyze373.0ms (16.1%)

sample1.4s (61.8%)

preprocess19.0ms (0.8%)

simplify8.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series6.0ms (0.3%)

rewrite58.0ms (2.5%)

simplify13.0ms (0.6%)

localize7.0ms (0.3%)

eval9.0ms (0.4%)

prune10.0ms (0.4%)

localize4.0ms (0.2%)

localize4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes34.0ms (1.5%)

regimes27.0ms (1.2%)

regimes88.0ms (3.8%)

bsearch163.0ms (7%)

simplify6.0ms (0.2%)

soundness8.0ms (0.3%)

end38.0ms (1.6%)

Profiling