Details

analyze447.0ms (6.6%)

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
12.7%	12.5%	85.8%	0.2%	1.6%	0%	0%	11
17.7%	17.2%	79.9%	0.2%	2.7%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.4s (21.3%)

Results

1.1s	8256×	body	256	valid
297.0ms	2448×	body	256	infinite

Bogosity

preprocess169.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1166×	`fma-def_binary64`
614×	`fma-neg_binary64`
297×	`unsub-neg_binary64`
230×	`distribute-rgt-in_binary64`
209×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	70
1	95	70
2	233	70
3	496	70
4	863	70
5	1686	70
6	2355	70
7	3386	70
8	3605	70
9	3641	70
10	3645	70
11	4247	70
12	4535	70
13	4535	70
14	4535	70
15	4535	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3
1

Call 2

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

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

Symmetry

(sort y t)

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-def_binary64`
304×	`fma-neg_binary64`
110×	`distribute-rgt-in_binary64`
86×	`associate-l_binary64`
84×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	20	10
2	47	10
3	111	10
4	234	10
5	348	10
6	558	10
7	917	10
8	1673	10
9	2374	10
10	2429	10
11	2435	10
12	2435	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.0b	(.f64 y (.f64 t (-.f64 x z)))
▶	8.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 x z))
✓	7.6b	(.f64 y (.f64 t (-.f64 x z)))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

21 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

946×	`pow1_binary64`
874×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
854×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	17
2	2326	17

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1117×	`fma-def_binary64`
384×	`fma-neg_binary64`
127×	`cancel-sign-sub-inv_binary64`
91×	`distribute-rgt-in_binary64`
80×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	564
1	34	546
2	87	384
3	183	384
4	280	384
5	477	384
6	839	384
7	1372	384
8	1932	384
9	2624	384
10	2638	384
11	2638	384

Stop Event

1×

saturated

Counts

84 → 48

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 t (neg.f64 z)))
(.f64 y (neg.f64 (.f64 t z)))
(+.f64 (.f64 y (.f64 t x)) (.f64 -1 (.f64 y (*.f64 t z))))
(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
(-.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t z)))
(.f64 y (.f64 t (-.f64 x z)))
(+.f64 (.f64 y (.f64 t x)) (.f64 -1 (.f64 y (*.f64 t z))))
(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
(-.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t z)))
(.f64 y (.f64 t (-.f64 x z)))
(+.f64 (.f64 y (.f64 t x)) (.f64 -1 (.f64 y (*.f64 t z))))
(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
(-.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t z)))
(.f64 y (.f64 t (-.f64 x z)))
(.f64 y (.f64 t x))
(.f64 (.f64 y t) x)
(.f64 x (.f64 y t))
(+.f64 (.f64 -1 (.f64 y (.f64 t z))) (.f64 y (*.f64 t x)))
(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
(-.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t z)))
(.f64 y (.f64 t (-.f64 x z)))
(+.f64 (.f64 -1 (.f64 y (.f64 t z))) (.f64 y (*.f64 t x)))
(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
(-.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t z)))
(.f64 y (.f64 t (-.f64 x z)))
(+.f64 (.f64 -1 (.f64 y (.f64 t z))) (.f64 y (*.f64 t x)))
(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
(-.f64 (.f64 y (.f64 t x)) (.f64 y (.f64 t z)))
(.f64 y (.f64 t (-.f64 x z)))
(.f64 y (.f64 t x))
(.f64 (.f64 y t) x)
(.f64 x (.f64 y t))
(+.f64 (.f64 -1 (.f64 y (.f64 t z))) (.f64 y (*.f64 t x)))
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(fma.f64 y (.f64 t x) (neg.f64 (.f64 y (*.f64 t z))))
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(-.f64 (.f64 t x) (.f64 t z))
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(-.f64 (.f64 t x) (.f64 t z))
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localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 (.f64 x y) (.f64 z y))
✓	8.2b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Compiler

Compiled 30 to 8 computations (73.3% saved)

series12.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
498×	`fma-def_binary64`
402×	`pow-prod-down_binary64`
271×	`pow2_binary64`
216×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	201	17
2	2795	17

Stop Event

1×	node limit

Counts

2 → 265

Calls

Call 1

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

Outputs
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Outputs

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

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

466×	`fma-def_binary64`
243×	`fma-neg_binary64`
106×	`unsub-neg_binary64`
103×	`associate-l_binary64`
103×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	960
1	86	708
2	216	708
3	568	708
4	1143	708
5	1530	708
6	1811	708
7	1824	708
8	1824	708

Stop Event

1×

saturated

Counts

349 → 281

Calls

Call 1

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

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

eval65.0ms (1%)

Compiler: Compiled 5701 to 1346 computations (76.4% saved)

prune230.0ms (3.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	320	9	329
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	320	11	331

Error

0.0b

Counts

331 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	33.8b	(pow.f64 (sqrt.f64 (.f64 y (.f64 (-.f64 x z) t))) 2)
	30.9b	(.f64 y (.f64 t (neg.f64 z)))
▶	8.0b	(.f64 y (+.f64 (.f64 x t) (*.f64 (neg.f64 z) t)))
▶	7.8b	(+.f64 (.f64 (.f64 y t) x) (.f64 (.f64 y t) (neg.f64 z)))
▶	31.8b	(.f64 (.f64 y (neg.f64 z)) t)
	8.7b	(.f64 (.f64 (-.f64 x z) y) t)
▶	32.8b	(.f64 x (.f64 y t))
	34.2b	(.f64 y (.f64 t x))
✓	8.0b	(.f64 y (.f64 t (-.f64 x z)))
✓	8.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
▶	34.0b	(.f64 (.f64 y x) t)

Compiler

Compiled 228 to 149 computations (34.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 y t) x) (.f64 (.f64 y t) (neg.f64 z)))
✓	4.9b	(.f64 (.f64 y t) x)
✓	5.5b	(.f64 (.f64 y t) (neg.f64 z))

Compiler

Compiled 36 to 9 computations (75% saved)

series21.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 y t) (neg.f64 z))
3.0ms	x	@	inf	(.f64 (.f64 y t) x)
1.0ms	y	@	0	(.f64 (.f64 y t) (neg.f64 z))
1.0ms	z	@	inf	(.f64 (.f64 y t) (neg.f64 z))
1.0ms	t	@	0	(.f64 (.f64 y t) (neg.f64 z))

rewrite98.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
443×	`pow-prod-down_binary64`
365×	`fma-def_binary64`
266×	`pow-unpow_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	219	24
2	3212	24

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

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

Outputs

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

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y) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y t) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 t z))) 2)) (cbrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y t) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 t z)))) (sqrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) t (*.f64 y (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) t (*.f64 (neg.f64 y) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) t (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 t z))) 2)) (cbrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x y) t (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 t z)))) (sqrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 y t)) 2)) (cbrt.f64 (*.f64 y t)) (*.f64 y (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 y t)) 2)) (cbrt.f64 (*.f64 y t)) (*.f64 (neg.f64 y) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 y t)) 2)) (cbrt.f64 (*.f64 y t)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 t z))) 2)) (cbrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 y t)) 2)) (cbrt.f64 (*.f64 y t)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 t z)))) (sqrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 y t))) (sqrt.f64 (*.f64 y t)) (*.f64 y (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 y t))) (sqrt.f64 (*.f64 y t)) (*.f64 (neg.f64 y) (*.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 y t))) (sqrt.f64 (*.f64 y t)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 t z))) 2)) (cbrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 y t))) (sqrt.f64 (*.f64 y t)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 y (*.f64 t z)))) (sqrt.f64 (*.f64 y (*.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y t) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 t (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y t) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 t (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y t) -1) z (*.f64 t (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) t (*.f64 t (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (*.f64 y t)) 2)) (cbrt.f64 (*.f64 y t)) (*.f64 t (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (*.f64 y t))) (sqrt.f64 (*.f64 y t)) (*.f64 t (*.f64 y x)))))))

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary64`
346×	`fma-neg_binary64`
140×	`associate-l_binary64`
117×	`unsub-neg_binary64`
110×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	1212
1	87	1170
2	266	1044
3	597	1044
4	990	1044
5	1642	1044
6	2120	1044
7	2496	1044
8	2496	1044

Stop Event

1×

saturated

Counts

374 → 265

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(neg.f64 (.f64 y (.f64 t z)))
(.f64 y (.f64 z (neg.f64 t)))
(.f64 t (.f64 y (neg.f64 z)))
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(.f64 t (.f64 y (-.f64 x z)))
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localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(.f64 x (.f64 y t))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

47 → 12

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.6b	(.f64 (.f64 y x) t)

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`pow1_binary64`
531×	`add-log-exp_binary64`
531×	`log1p-expm1-u_binary64`
531×	`expm1-log1p-u_binary64`
518×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1452	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

47 → 12

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.4b	(.f64 (.f64 y (neg.f64 z)) t)

Compiler

Compiled 19 to 7 computations (63.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite165.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
563×	`add-log-exp_binary64`
562×	`log1p-expm1-u_binary64`
562×	`expm1-log1p-u_binary64`
550×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	7
2	1866	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
22×	`associate-l_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Stop Event

1×

saturated

Counts

48 → 14

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (.f64 x t) (.f64 (neg.f64 z) t))
✓	7.6b	(.f64 y (+.f64 (.f64 x t) (*.f64 (neg.f64 z) t)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series10.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite120.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
456×	`pow-prod-down_binary64`
343×	`fma-def_binary64`
266×	`pow2_binary64`
220×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	221	17
2	3269	17

Stop Event

1×	node limit

Counts

2 → 244

Calls

Call 1

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

Outputs

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

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
306×	`fma-neg_binary64`
140×	`associate-l_binary64`
125×	`unsub-neg_binary64`
114×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	996
1	81	708
2	217	708
3	491	708
4	911	708
5	1482	708
6	1922	708
7	2322	708
8	2322	708

Stop Event

1×

saturated

Counts

328 → 261

Calls

Call 1

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

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

eval118.0ms (1.7%)

Compiler: Compiled 9701 to 2129 computations (78.1% saved)

prune101.0ms (1.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	559	5	564
Fresh	2	2	4
Picked	1	0	1
Done	1	5	6
Total	563	12	575

Error

Counts

575 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	48.3b	(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))
✓	31.8b	(.f64 (.f64 y (neg.f64 z)) t)
▶	8.7b	(.f64 (.f64 (-.f64 x z) y) t)
	45.6b	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
✓	8.0b	(.f64 y (.f64 t (-.f64 x z)))
▶	8.0b	(.f64 y (-.f64 (.f64 x t) (*.f64 t z)))
▶	34.2b	(.f64 y (.f64 t x))
✓	32.8b	(.f64 x (.f64 y t))
✓	8.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
▶	30.9b	(.f64 y (.f64 t (neg.f64 z)))
▶	7.8b	(.f64 (-.f64 x z) (.f64 y t))
✓	34.0b	(.f64 (.f64 y x) t)

Compiler

Compiled 224 to 142 computations (36.6% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.7b	(.f64 (-.f64 x z) (.f64 y t))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
870×	`add-log-exp_binary64`
870×	`log1p-expm1-u_binary64`
870×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	170	10
2	2320	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1054×	`fma-def_binary64`
382×	`fma-neg_binary64`
114×	`cancel-sign-sub-inv_binary64`
113×	`distribute-rgt-in_binary64`
85×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	720
1	34	468
2	92	468
3	215	468
4	318	468
5	505	468
6	847	468
7	1294	468
8	1947	468
9	2589	468
10	2601	468
11	2601	468

Stop Event

1×

saturated

Counts

67 → 27

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(.f64 y (.f64 t x))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
532×	`add-log-exp_binary64`
532×	`log1p-expm1-u_binary64`
532×	`expm1-log1p-u_binary64`
519×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	119	7
2	1454	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(.f64 y (.f64 t (neg.f64 z)))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`pow1_binary64`
565×	`add-log-exp_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`
552×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	7
2	1867	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
22×	`associate-l_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Stop Event

1×

saturated

Counts

48 → 14

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))
(.f64 -1 (.f64 y (*.f64 t z)))

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 x z) y)
✓	8.2b	(.f64 (.f64 (-.f64 x z) y) t)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series7.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	17
2	2318	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1086×	`fma-def_binary64`
379×	`fma-neg_binary64`
123×	`cancel-sign-sub-inv_binary64`
111×	`distribute-rgt-in_binary64`
86×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	1050
1	48	708
2	109	708
3	205	708
4	311	708
5	525	708
6	909	708
7	1347	708
8	1970	708
9	2624	708
10	2636	708
11	2636	708

Stop Event

1×

saturated

Counts

118 → 49

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (.f64 x t) (.f64 t z))
✓	7.6b	(.f64 y (-.f64 (.f64 x t) (*.f64 t z)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite141.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
434×	`fma-def_binary64`
389×	`exp-prod_binary64`
382×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	199	17
2	2713	17

Stop Event

1×	node limit

Counts

2 → 248

Calls

Call 1

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

Outputs

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-def_binary64`
229×	`fma-neg_binary64`
120×	`distribute-rgt-in_binary64`
120×	`unsub-neg_binary64`
108×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	708
1	79	708
2	201	708
3	570	708
4	1221	708
5	1604	708
6	1973	708
7	1986	708
8	1986	708

Stop Event

1×

saturated

Counts

332 → 261

Calls

Call 1

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

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

eval195.0ms (2.9%)

Compiler: Compiled 5827 to 1405 computations (75.9% saved)

prune96.0ms (1.4%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	362	12	374

Error

Counts

374 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.3b	(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))
✓	31.8b	(.f64 (.f64 y (neg.f64 z)) t)
✓	8.7b	(.f64 (.f64 (-.f64 x z) y) t)
▶	45.6b	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
✓	8.0b	(.f64 y (.f64 t (-.f64 x z)))
✓	8.0b	(.f64 y (-.f64 (.f64 x t) (*.f64 t z)))
✓	34.2b	(.f64 y (.f64 t x))
✓	32.8b	(.f64 x (.f64 y t))
✓	8.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
✓	30.9b	(.f64 y (.f64 t (neg.f64 z)))
✓	7.8b	(.f64 (-.f64 x z) (.f64 y t))
✓	34.0b	(.f64 (.f64 y x) t)

Compiler

Compiled 138 to 88 computations (36.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
✓	5.7b	(.f64 y (.f64 x t))
✓	11.0b	(sqrt.f64 (.f64 y (.f64 x t)))

Compiler

Compiled 30 to 10 computations (66.7% saved)

series52.0ms (0.8%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
9.0ms	t	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
2.0ms	y	@	0	(sqrt.f64 (.f64 y (.f64 x t)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	185	23
2	1903	23

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(sqrt.f64 (.f64 y (.f64 x t)))
(.f64 y (.f64 x t))
(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)

Outputs

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

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

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	10	252
2	17	252
3	19	252

Stop Event

1×

saturated

Counts

111 → 67

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))
✓	0.1b	(.f64 y (sqrt.f64 (.f64 x t)))
✓	7.4b	(.f64 t (.f64 z y))
✓	9.9b	(sqrt.f64 (*.f64 x t))

Compiler

Compiled 45 to 10 computations (77.8% saved)

series39.0ms (0.6%)

Counts

4 → 76

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(.f64 y (sqrt.f64 (.f64 x t)))
4.0ms	t	@	-inf	(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))
3.0ms	x	@	-inf	(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))
3.0ms	x	@	inf	(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))
1.0ms	x	@	-inf	(.f64 y (sqrt.f64 (.f64 x t)))

rewrite94.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
464×	`pow-prod-down_binary64`
296×	`prod-diff_binary64`
287×	`pow2_binary64`
260×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	220	38
2	2700	36

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

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

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

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

317×	`fma-def_binary64`
300×	`fma-neg_binary64`
132×	`associate-l_binary64`
127×	`cancel-sign-sub-inv_binary64`
94×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	619
1	52	619
2	147	619
3	427	619
4	1000	619
5	1470	619
6	1875	619
7	2020	619
8	2061	619
9	2076	619
10	2085	619
11	2091	619

Stop Event

1×

saturated

Counts

186 → 118

Calls

Call 1

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

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

eval125.0ms (1.8%)

Compiler: Compiled 3620 to 911 computations (74.8% saved)

prune63.0ms (0.9%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	0	0
Picked	1	0	1
Done	0	11	11
Total	219	12	231

Error

Counts

231 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.7b	(.f64 (.f64 (-.f64 x z) y) t)
✓	45.6b	(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
✓	8.0b	(.f64 y (.f64 t (-.f64 x z)))
✓	8.0b	(.f64 y (-.f64 (.f64 x t) (*.f64 t z)))
✓	31.8b	(.f64 (.f64 y (neg.f64 z)) t)
✓	34.2b	(.f64 y (.f64 t x))
	47.4b	(.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)))
✓	32.8b	(.f64 x (.f64 y t))
✓	8.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
✓	30.9b	(.f64 y (.f64 t (neg.f64 z)))
✓	7.8b	(.f64 (-.f64 x z) (.f64 y t))
✓	34.0b	(.f64 (.f64 y x) t)

Compiler

Compiled 133 to 86 computations (35.3% saved)

regimes434.0ms (6.4%)

Counts

17 → 5

Calls

Call 1

Inputs
(.f64 y (.f64 t x))
(.f64 x (.f64 y t))
(.f64 y (.f64 t x))
(.f64 (.f64 y x) t)
(.f64 y (.f64 t (neg.f64 z)))
(.f64 (.f64 y (neg.f64 z)) t)
(.f64 (-.f64 x z) (.f64 y t))
(.f64 (.f64 (-.f64 x z) y) t)
(.f64 y (.f64 t (-.f64 x z)))
(.f64 y (-.f64 (.f64 x t) (*.f64 t z)))
(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
(.f64 y (+.f64 (.f64 x t) (*.f64 (neg.f64 z) t)))
(+.f64 (.f64 (.f64 y t) x) (.f64 (.f64 y t) (neg.f64 z)))
(pow.f64 (sqrt.f64 (.f64 y (.f64 x t))) 2)
(pow.f64 (sqrt.f64 (.f64 y (.f64 (-.f64 x z) t))) 2)
(.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)))
(fma.f64 (.f64 y (sqrt.f64 (.f64 x t))) (sqrt.f64 (.f64 x t)) (.f64 t (*.f64 z y)))

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

Calls

6 calls:

119.0ms	x
115.0ms	z
89.0ms	(-.f64 (.f64 x y) (.f64 z y))
51.0ms	y
36.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

Results

Error	Segments	Branch
2.7b	6	`x`
2.4b	2	`y`
4.7b	5	`z`
3.0b	2	`t`
0.2b	5	`(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)`
0.1b	5	`(-.f64 (.f64 x y) (.f64 z y))`

Compiler

Compiled 186 to 80 computations (57% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.937297763972035e+195	2.196203378714849e+197
0.0ms	0.0	1.9783088004120574e-279
0.0ms	-1.5183857965094365e-199	-2.926445113644682e-208
0.0ms	-inf	-1.579691979729696e+284

Compiler

Compiled 20 to 14 computations (30% saved)

regimes79.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(.f64 (-.f64 x z) (.f64 y t))
(.f64 (.f64 y (neg.f64 z)) t)
(.f64 (-.f64 x z) (.f64 y t))

Calls

4 calls:

50.0ms	x
15.0ms	t
6.0ms	y
5.0ms	z

Results

Error	Segments	Branch
6.3b	3	`x`
7.8b	1	`y`
7.8b	1	`z`
6.6b	3	`t`

Compiler

Compiled 63 to 33 computations (47.6% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.6734632054226543e-176	3.311210452872239e-176
19.0ms	-7.482053469765425e-217	-9.56003576072294e-226

Compiler

Compiled 20 to 14 computations (30% saved)

regimes120.0ms (1.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	t
41.0ms	y
16.0ms	z
14.0ms	x

Results

Error	Segments	Branch
18.4b	3	`x`
20.3b	8	`y`
18.7b	3	`z`
19.1b	10	`t`

Compiler

Compiled 56 to 31 computations (44.6% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.428093599201794e-7	2.1753841157138785e-5
21.0ms	-1.7571248393358354e-20	-3.3985430108621534e-22

Compiler

Compiled 20 to 14 computations (30% saved)

regimes75.0ms (1.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	y
10.0ms	z
8.0ms	t
4.0ms	x

Results

Error	Segments	Branch
32.8b	1	`x`
30.8b	2	`y`
31.6b	3	`z`
31.2b	2	`t`

Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch34.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-8.44081965038041e+64	-5.266385586491798e+64

Compiler

Compiled 100 to 70 computations (30% saved)

regimes61.0ms (0.9%)

Accuracy

Total -6.2b remaining (-19.9%)

Threshold costs -6.2b (-19.9%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	y
7.0ms	t
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
32.8b	1	`x`
32.8b	1	`y`
32.8b	1	`z`
31.2b	2	`t`

Compiler

Compiled 39 to 24 computations (38.5% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	0.27438319598100785	41.091776563414

Compiler

Compiled 40 to 28 computations (30% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
9×	`+-commutative_binary64`
9×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	233
1	80	233
2	104	233
3	126	233
4	136	233
5	140	233

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) -inf.0) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (.f64 (.f64 (-.f64 x z) y) t) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) 0) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) 1999999999999999954155529538859438392082930388376757727548894681145163594695708457788837720495819875615513201592225079943863233291370363398466535627902482147340008734099231088420219850164686290944) (.f64 (.f64 (-.f64 x z) y) t) (.f64 (-.f64 x z) (.f64 y t))))))
(if (<=.f64 x -4646409351748847/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 x 2385961406411423/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (.f64 (.f64 y (neg.f64 z)) t) (.f64 (-.f64 x z) (.f64 y t))))
(if (<=.f64 x -2919524410667831/166153499473114484112975882535043072) (.f64 (.f64 y x) t) (if (<=.f64 x 6071162752323891/9444732965739290427392) (.f64 y (.f64 t (neg.f64 z))) (.f64 x (.f64 y t))))
(if (<=.f64 y -84000000000000001206314541861808169991831728099995847666671026176) (.f64 x (.f64 y t)) (.f64 (.f64 y x) t))
(if (<=.f64 t 1) (.f64 y (.f64 t x)) (.f64 x (.f64 y t)))
(.f64 y (.f64 t x))

Outputs
(if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) -inf.0) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (.f64 (.f64 (-.f64 x z) y) t) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) 0) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 z y)) 1999999999999999954155529538859438392082930388376757727548894681145163594695708457788837720495819875615513201592225079943863233291370363398466535627902482147340008734099231088420219850164686290944) (.f64 (.f64 (-.f64 x z) y) t) (.f64 (-.f64 x z) (.f64 y t))))))
(if (<=.f64 (-.f64 (.f64 x y) (.f64 y z)) -inf.0) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 y z)) -8618206661096855/86182066610968551542636378241108028056376767329454880514019834315878107616003372189510312530372009184902888961739623919010110377987011442493486117202360415845666384627768436296772219009176743399772868636439042064384) (.f64 t (.f64 y (-.f64 x z))) (if (<=.f64 (-.f64 (.f64 x y) (.f64 y z)) 0) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 (-.f64 (.f64 x y) (.f64 y z)) 1999999999999999954155529538859438392082930388376757727548894681145163594695708457788837720495819875615513201592225079943863233291370363398466535627902482147340008734099231088420219850164686290944) (.f64 t (.f64 y (-.f64 x z))) (.f64 (-.f64 x z) (.f64 y t))))))
(if (<=.f64 x -4646409351748847/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 x 2385961406411423/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (.f64 (.f64 y (neg.f64 z)) t) (.f64 (-.f64 x z) (.f64 y t))))
(if (<=.f64 x -4646409351748847/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 x 2385961406411423/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (.f64 t (.f64 y (neg.f64 z))) (.f64 (-.f64 x z) (.f64 y t))))
(if (<=.f64 x -4646409351748847/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 (-.f64 x z) (.f64 y t)) (if (<=.f64 x 2385961406411423/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (.f64 (.f64 y z) (neg.f64 t)) (.f64 (-.f64 x z) (.f64 y t))))
(if (<=.f64 x -2919524410667831/166153499473114484112975882535043072) (.f64 (.f64 y x) t) (if (<=.f64 x 6071162752323891/9444732965739290427392) (.f64 y (.f64 t (neg.f64 z))) (.f64 x (.f64 y t))))
(if (<=.f64 x -2919524410667831/166153499473114484112975882535043072) (.f64 (.f64 x y) t) (if (<=.f64 x 6071162752323891/9444732965739290427392) (.f64 y (.f64 t (neg.f64 z))) (.f64 x (.f64 y t))))
(if (<=.f64 x -2919524410667831/166153499473114484112975882535043072) (.f64 (.f64 x y) t) (if (<=.f64 x 6071162752323891/9444732965739290427392) (.f64 y (.f64 z (neg.f64 t))) (.f64 x (.f64 y t))))
(if (<=.f64 y -84000000000000001206314541861808169991831728099995847666671026176) (.f64 x (.f64 y t)) (.f64 (.f64 y x) t))
(if (<=.f64 y -84000000000000001206314541861808169991831728099995847666671026176) (.f64 x (.f64 y t)) (.f64 (.f64 x y) t))
(if (<=.f64 t 1) (.f64 y (.f64 t x)) (.f64 x (.f64 y t)))
(if (<=.f64 t 1) (.f64 y (.f64 x t)) (.f64 x (.f64 y t)))
(.f64 y (.f64 t x))
(.f64 y (.f64 x t))

Compiler

Compiled 184 to 85 computations (53.8% saved)

soundness263.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

998×	`fma-def_binary64`
656×	`fma-def_binary64`
306×	`fma-neg_binary64`
304×	`fma-neg_binary64`
140×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	20	10
2	47	10
3	111	10
4	234	10
5	348	10
6	558	10
7	917	10
8	1673	10
9	2374	10
10	2429	10
11	2435	10
12	2435	10
0	26	996
1	81	708
2	217	708
3	491	708
4	911	708
5	1482	708
6	1922	708
7	2322	708
8	2322	708

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 223 to 144 computations (35.4% saved)

end103.0ms (1.5%)

Compiler: Compiled 322 to 98 computations (69.6% saved)

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324

Iter	Nodes	Cost
0	8	324
1	16	324
2	48	324
3	102	324
4	117	324
5	165	324
6	237	324
7	274	324
8	316	324
9	485	324
10	513	324