Details

analyze1.8s (31.9%)

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
1.7%	98.1%	0.2%	13
2%	97%	1%	14

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample1.6s (28.8%)

Results

1.2s	8256×	body	128	valid
355.0ms	2455×	body	128	invalid

Compiler

Compiled 44 to 32 computations (27.3% saved)

preprocess36.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1038×	`fma-def_binary64`
598×	`times-frac_binary64`
349×	`associate-/l*_binary64`
218×	`fma-neg_binary64`
163×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	175
1	112	161
2	245	161
3	542	147
4	1271	147
5	2535	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 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 y x) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
(+.f64 (/.f64 z y) (/.f64 (+.f64 2 (.f64 (.f64 x 2) (-.f64 1 t))) (*.f64 t x)))
(+.f64 (/.f64 t y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 x))) (*.f64 x z)))
(+.f64 (/.f64 x z) (/.f64 (+.f64 2 (.f64 (.f64 y 2) (-.f64 1 t))) (*.f64 t y)))
(+.f64 (/.f64 x t) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 y))) (*.f64 y z)))
(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 t 2) (-.f64 1 z))) (*.f64 z t)))

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

669×	`fma-neg_binary64`
614×	`times-frac_binary64`
399×	`div-sub_binary64`
329×	`cancel-sign-sub-inv_binary64`
299×	`fma-def_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	28	23
2	56	23
3	121	21
4	283	21
5	539	21
6	1172	20
7	3469	20

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune5.0ms (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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	10.9b	(+.f64 (/.f64 x y) (fma.f64 (/.f64 2 z) (/.f64 (+.f64 z 1) t) -2))
▶	7.4b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

Compiler

Compiled 113 to 79 computations (30.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 z 2) (-.f64 1 t))
✓	0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
✓	7.4b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

series20.0ms (0.4%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
2.0ms	y	@	inf	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
1.0ms	t	@	0	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	z	@	inf	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))
1.0ms	x	@	0	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))

rewrite49.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

180×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
176×	`pow1_binary64`
167×	`add-cbrt-cube_binary64`
167×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	342	50

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

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

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

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

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
425×	`fma-neg_binary64`
339×	`times-frac_binary64`
254×	`associate-/l*_binary64`
194×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	1467
1	114	1465
2	256	1417
3	444	1417
4	789	1246
5	1922	1246

Stop Event

1×	node limit

Counts

217 → 147

Calls

Call 1

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

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

prune137.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	145	4	149

Error

0.0b

Counts

149 → 4

Alt Table

Status	Error	Program
	13.1b	(/.f64 (+.f64 y (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) x)) (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) y))
	26.5b	(.f64 (fma.f64 x (.f64 z t) (.f64 y (fma.f64 (.f64 2 z) (-.f64 1 t) 2))) (/.f64 1 (.f64 y (.f64 z t))))
▶	0.1b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
	8.5b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 (fma.f64 (.f64 2 z) (-.f64 1 t) 2) (.f64 z t)) (/.f64 x y))) 3)

Compiler

Compiled 3619 to 2063 computations (43% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (/.f64 2 z))
✓	0.0b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
✓	0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

series9.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms	z	@	0	(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms	z	@	-inf	(/.f64 (+.f64 2 (/.f64 2 z)) t)
1.0ms	t	@	inf	(/.f64 (+.f64 2 (/.f64 2 z)) t)
0.0ms	t	@	-inf	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite72.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

287×	`log1p-udef_binary64`
163×	`add-sqr-sqrt_binary64`
158×	`*-un-lft-identity_binary64`
158×	`pow1_binary64`
152×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	308	36
2	4622	36

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
(+.f64 2 (/.f64 2 z))

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2) -4) (neg.f64 y)) (*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2) (neg.f64 x))) (*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y)) 3) -8) (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y))) (-.f64 4 (*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) 2) (pow.f64 (/.f64 x y) 2)) (-.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y))) 4) (-.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (/.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (pow.f64 y -1) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (/.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 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (sqrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (/.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (/.f64 2 z))) (/.f64 (/.f64 4 (*.f64 z z)) (-.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 2)) (cbrt.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (sqrt.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (/.f64 8 (pow.f64 z 3))) (/.f64 1 (+.f64 4 (-.f64 (/.f64 4 (*.f64 z z)) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 4 (*.f64 z z))) (/.f64 1 (-.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (-.f64 (/.f64 4 (*.f64 z z)) (/.f64 4 z))) (+.f64 8 (/.f64 8 (pow.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 (/.f64 2 z)) (-.f64 4 (/.f64 4 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 8 (pow.f64 z 3))) (+.f64 4 (-.f64 (/.f64 4 (*.f64 z z)) (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (/.f64 8 (pow.f64 z 3))) (+.f64 (/.f64 4 (*.f64 z z)) (-.f64 4 (/.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (*.f64 z z))) (-.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 8 (/.f64 8 (pow.f64 z 3)))) (neg.f64 (+.f64 4 (-.f64 (/.f64 4 (*.f64 z z)) (/.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 z z)))) (neg.f64 (-.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 z z)) 4) (-.f64 (/.f64 2 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 z)) (sqrt.f64 (/.f64 2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 2 z))) 1))))))

simplify152.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

965×	`fma-neg_binary64`
729×	`fma-def_binary64`
187×	`sub-neg_binary64`
152×	`cancel-sign-sub-inv_binary64`
130×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	1269
1	60	1269
2	113	1269
3	164	1269
4	228	1086
5	428	1086
6	823	1086
7	1761	1086
8	2989	1086
9	3797	1086
10	4154	1086
11	4236	1086
12	4281	1086
13	4291	1086
14	4568	1086
15	4573	1086
16	4573	1086

Stop Event

1×

saturated

Counts

199 → 134

Calls

Call 1

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

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

prune152.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	132	6	138

Error

Counts

138 → 6

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
▶	0.4b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2) t) -2))
	14.3b	(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t)) -2))
	13.1b	(/.f64 (+.f64 y (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) x)) (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) y))
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) 3)
	0.8b	(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (+.f64 2 (/.f64 2 z)) (cbrt.f64 t))) -2))

Compiler

Compiled 3365 to 2340 computations (30.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2) t)
✓	0.1b	(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2)
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 2 z)) 2)
✓	0.6b	(cbrt.f64 (/.f64 2 z))

series29.0ms (0.5%)

Counts

4 → 18

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(pow.f64 (cbrt.f64 (/.f64 2 z)) 2)
4.0ms	t	@	0	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2) t)
3.0ms	z	@	0	(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2) t)
3.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (/.f64 2 z)) 2)
2.0ms	z	@	-inf	(cbrt.f64 (/.f64 2 z))

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`
91×	`pow1_binary64`
90×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	195	32
2	2365	32

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 2 z))
(pow.f64 (cbrt.f64 (/.f64 2 z)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2)
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (cbrt.f64 (/.f64 2 z)) 2) t)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (cbrt.f64 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (pow.f64 (/.f64 1 z) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2) (cbrt.f64 (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 2 z) 1/6) (pow.f64 (/.f64 2 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (/.f64 2 z)) 1/3) (pow.f64 (sqrt.f64 (/.f64 2 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 z 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 z) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -2) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 2)) (neg.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 2 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 z)) (cbrt.f64 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 2 z) 1/6) (.f64 (pow.f64 (/.f64 2 z) 1/6) (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 2 z)) (pow.f64 (/.f64 2 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (/.f64 2 z)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 4) (cbrt.f64 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 2 z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (/.f64 2 z)) (cbrt.f64 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 4 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 z)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (/.f64 2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (cbrt.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (sqrt.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 2 z) 3) 8) (+.f64 (/.f64 4 (.f64 z z)) (-.f64 4 (.f64 (/.f64 2 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (.f64 z z)) 4) (-.f64 (/.f64 2 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 2 z))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 2 (/.f64 2 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (/.f64 2 z)) -2) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) (+.f64 2 (/.f64 2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (+.f64 2 (/.f64 2 z)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (+.f64 2 (/.f64 2 z)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 2 (/.f64 2 z))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 2 (/.f64 2 z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 2 z)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (/.f64 2 z)) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t)) 1))))))

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
20×	`associate-/r/_binary64`
16×	`associate-/l*_binary64`
11×	`*-commutative_binary64`
10×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	135
1	16	135
2	21	135
3	25	135
4	29	135
5	31	135
6	40	135
7	53	135
8	77	135
9	102	135
10	132	135
11	161	135
12	184	135
13	192	135

Stop Event

1×

saturated

Counts

125 → 111

Calls

Call 1

Inputs
2
2
2
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)

Outputs
2
2
2
(/.f64 2 t)
(/.f64 2 t)
(/.f64 2 t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 z))) t)
(/.f64 (+.f64 2 (/.f64 2 z)) t)

prune148.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	143	5	148

Error

Counts

148 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
	14.3b	(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t)) -2))
	13.1b	(/.f64 (+.f64 y (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) x)) (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) y))
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) 3)
▶	0.4b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3) 2) t) -2))

Compiler

Compiled 3273 to 2354 computations (28.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 (/.f64 2 z)) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (/.f64 2 z)))
	0.6b	(cbrt.f64 (/.f64 2 z))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3)

series59.0ms (1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	z	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3)
13.0ms	z	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3)
5.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3)
0.0ms	z	@	-inf	(cbrt.f64 (cbrt.f64 (/.f64 2 z)))
0.0ms	z	@	0	(cbrt.f64 (cbrt.f64 (/.f64 2 z)))

rewrite41.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`pow1_binary64`
587×	`add-log-exp_binary64`
586×	`log1p-expm1-u_binary64`
586×	`expm1-log1p-u_binary64`
70×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	172	14
2	1690	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3)
(cbrt.f64 (cbrt.f64 (/.f64 2 z)))

Outputs

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

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

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

754×	`sqr-pow_binary64`
528×	`unswap-sqr_binary64`
353×	`*-commutative_binary64`
308×	`pow-sqr_binary64`
246×	`cube-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	408
1	48	408
2	98	408
3	259	408
4	1027	336
5	2037	336
6	2139	336
7	2331	336
8	2595	336
9	2857	336
10	3186	336
11	3598	336
12	4060	336
13	4612	336
14	4896	336

Stop Event

1×	node limit

Counts

76 → 60

Calls

Call 1

Inputs
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))

Outputs
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 z) 1/3) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 -1 z) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 (/.f64 -1 z)) (cbrt.f64 -2))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 (cbrt.f64 2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 z) 1/18) (pow.f64 (/.f64 -1 z) 1/18)) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 z) 1/18) (pow.f64 (/.f64 -1 z) 1/18)) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 z) 1/18) (pow.f64 (/.f64 -1 z) 1/18)) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (/.f64 -1 z) 1/9) (pow.f64 (cbrt.f64 -2) 1/3))
(.f64 (.f64 (pow.f64 (/.f64 -1 z) 1/18) (pow.f64 (/.f64 -1 z) 1/18)) (cbrt.f64 (cbrt.f64 -2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 z) 1/36) 4) (cbrt.f64 (cbrt.f64 -2)))

prune186.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	143	5	148

Error

Counts

148 → 5

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))
	14.3b	(+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) 1) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t)) -2))
	13.1b	(/.f64 (+.f64 y (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) x)) (.f64 (/.f64 (.f64 z t) (fma.f64 (.f64 2 z) (-.f64 1 t) 2)) y))
	1.4b	(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) (+.f64 -2 (/.f64 x y)))) 3)
✓	0.4b	(+.f64 (/.f64 x y) (+.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 z)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 z))) 3) 2) t) -2))

Compiler

Compiled 3966 to 2981 computations (24.8% saved)

regimes719.0ms (12.8%)

Accuracy

Total 0.1b remaining (70.9%)

Threshold costs 0.1b (70.9%)

Counts

160 → 1

Compiler

Compiled 3330 to 2093 computations (37.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	16	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

Outputs
(+.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 2 (/.f64 2 z)) t) -2))

end100.0ms (1.8%)

Stop Event

1×

fuel

Compiler

Compiled 160 to 122 computations (23.8% saved)

Iter	Nodes	Cost
0	10	135
1	16	135
2	21	135
3	25	135
4	29	135
5	31	135
6	40	135
7	53	135
8	77	135
9	102	135
10	132	135
11	161	135
12	184	135
13	192	135

Iter	Nodes	Cost
0	10	135
1	16	135
2	21	135
3	25	135
4	29	135
5	31	135
6	40	135
7	53	135
8	77	135
9	102	135
10	132	135
11	161	135
12	184	135
13	192	135

Details

analyze1.8s (31.9%)

sample1.6s (28.8%)

preprocess36.0ms (0.6%)

simplify25.0ms (0.4%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

series20.0ms (0.4%)

rewrite49.0ms (0.9%)

simplify61.0ms (1.1%)

prune137.0ms (2.4%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite72.0ms (1.3%)

simplify152.0ms (2.7%)

prune152.0ms (2.7%)

localize14.0ms (0.3%)

series29.0ms (0.5%)

rewrite58.0ms (1%)

simplify16.0ms (0.3%)

prune148.0ms (2.6%)

localize13.0ms (0.2%)

series59.0ms (1%)

rewrite41.0ms (0.7%)

simplify91.0ms (1.6%)

prune186.0ms (3.3%)

regimes719.0ms (12.8%)

simplify2.0ms (0%)

end100.0ms (1.8%)

Profiling

Iter	Nodes	Cost
0	10	135
1	16	135
2	21	135
3	25	135
4	29	135
5	31	135
6	40	135
7	53	135
8	77	135
9	102	135
10	132	135
11	161	135
12	184	135
13	192	135