Details

analyze355.0ms (14%)

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)

sample1.3s (50.5%)

Results

996.0ms	8256×	body	256	valid
265.0ms	2070×	body	256	infinite

Bogosity

preprocess20.0ms (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)

simplify7.0ms (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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(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 (0.3%)

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 (0.2%)

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	x	@	inf	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	y	@	0	(+.f64 (.f64 x y) (.f64 z t))

rewrite67.0ms (2.7%)

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))))))

simplify14.0ms (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%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series7.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

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

rewrite63.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z t) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) 1) (.f64 z t))))) (#(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 (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 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (pow.f64 (.f64 z t) 2) (.f64 (.f64 x y) (.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (pow.f64 (.f64 z t) 2)) (-.f64 (.f64 x y) (.f64 z t)))))) (#(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))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z t) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) (*.f64 z t))))) (#(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 (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 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (pow.f64 (*.f64 z t) 2) (*.f64 (*.f64 x y) (*.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (pow.f64 (*.f64 z t) 2)) (-.f64 (*.f64 x y) (*.f64 z t)))))) (#(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))))))))

simplify14.0ms (0.5%)

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

69 → 25

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))

eval14.0ms (0.5%)

Compiler: Compiled 814 to 222 computations (72.7% saved)

prune14.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Error

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.1b	(*.f64 t z)
▶	27.3b	(*.f64 y x)
✓	0.0b	(fma.f64 x y (*.f64 z t))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z t))
▶	0.0b	(fma.f64 z t (*.f64 x y))

Compiler

Compiled 45 to 29 computations (35.6% saved)

localize5.0ms (0.2%)

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

localize4.0ms (0.2%)

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

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite55.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
602×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
587×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	137	8
2	1626	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify39.0ms (1.5%)

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

69 → 25

Calls

Call 1

Inputs
(*.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))
(*.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))

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

eval5.0ms (0.2%)

Compiler: Compiled 261 to 74 computations (71.6% saved)

prune6.0ms (0.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	25	5	30

Error

Counts

30 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.1b	(*.f64 t z)
✓	27.3b	(*.f64 y x)
✓	0.0b	(fma.f64 x y (*.f64 z t))
✓	0.0b	(+.f64 (.f64 x y) (.f64 z t))
✓	0.0b	(fma.f64 z t (*.f64 x y))

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes58.0ms (2.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

11.0ms	z
10.0ms	y
10.0ms	x
5.0ms	(*.f64 x y)
5.0ms	(*.f64 z t)

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 x y)`
0.0b	1	`(*.f64 z t)`

Compiler

Compiled 81 to 49 computations (39.5% saved)

regimes106.0ms (4.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

43.0ms	(*.f64 z t)
10.0ms	x
9.0ms	y
9.0ms	z
9.0ms	(+.f64 (.f64 x y) (.f64 z t))

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)`
0.0b	1	`(*.f64 z t)`

Compiler

Compiled 75 to 48 computations (36% saved)

regimes89.0ms (3.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

39.0ms	z
9.0ms	(+.f64 (.f64 x y) (.f64 z t))
9.0ms	x
8.0ms	(*.f64 x y)
8.0ms	t

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)

regimes107.0ms (4.2%)

Accuracy

Total -45.7b remaining (-304.9%)

Threshold costs -45.7b (-304.9%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

4 calls:

57.0ms	y
16.0ms	x
16.0ms	z
15.0ms	t

Results

Error	Segments	Branch
15.0b	5	`x`
15.6b	9	`y`
16.7b	5	`z`
17.4b	3	`t`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch77.0ms (3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.904585329400136e-166	2.879008768576155e-163
19.0ms	-3.900210109833843e-62	-3.579191969792388e-62
19.0ms	-2.2591437657919896e-39	-2.201843858988736e-42
20.0ms	-0.002922167757216727	-0.0025102586539115174

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	74
1	29	74

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x y (*.f64 z t))
(fma.f64 z t (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 x -6738060094727849/2305843009213693952) (.f64 y x) (if (<=.f64 x -865531936812799/383123885216472214589586756787577295904684780545900544) (.f64 t z) (if (<=.f64 x -4516134770821631/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 y x) (if (<=.f64 x 6322485181286559/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 t z) (*.f64 y x)))))
(*.f64 t z)

Outputs
(fma.f64 x y (*.f64 z t))
(fma.f64 z t (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z t))
(if (<=.f64 x -6738060094727849/2305843009213693952) (.f64 y x) (if (<=.f64 x -865531936812799/383123885216472214589586756787577295904684780545900544) (.f64 t z) (if (<=.f64 x -4516134770821631/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 y x) (if (<=.f64 x 6322485181286559/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 t z) (*.f64 y x)))))
(if (<=.f64 x -6738060094727849/2305843009213693952) (.f64 x y) (if (<=.f64 x -865531936812799/383123885216472214589586756787577295904684780545900544) (.f64 z t) (if (<=.f64 x -4516134770821631/115792089237316195423570985008687907853269984665640564039457584007913129639936) (.f64 x y) (if (<=.f64 x 6322485181286559/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008) (.f64 z t) (*.f64 x y)))))
(*.f64 t z)
(*.f64 z t)

Compiler

Compiled 73 to 42 computations (42.5% 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)

end76.0ms (3%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 97 to 45 computations (53.6% saved)

Details

analyze355.0ms (14%)

sample1.3s (50.5%)

preprocess20.0ms (0.8%)

simplify7.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.3%)

series6.0ms (0.2%)

rewrite67.0ms (2.7%)

simplify14.0ms (0.6%)

localize7.0ms (0.3%)

series7.0ms (0.3%)

rewrite63.0ms (2.5%)

simplify14.0ms (0.5%)

eval14.0ms (0.5%)

prune14.0ms (0.6%)

localize5.0ms (0.2%)

localize4.0ms (0.2%)

localize8.0ms (0.3%)

series5.0ms (0.2%)

rewrite55.0ms (2.2%)

simplify39.0ms (1.5%)

eval5.0ms (0.2%)

prune6.0ms (0.3%)

regimes58.0ms (2.3%)

regimes106.0ms (4.2%)

regimes89.0ms (3.5%)

regimes107.0ms (4.2%)

bsearch77.0ms (3%)

simplify7.0ms (0.3%)

soundness8.0ms (0.3%)

end76.0ms (3%)

Profiling