Details

analyze218.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	87.3%	12.7%	4
0%	87.3%	12.7%	5
0%	81.1%	18.9%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
2.3%	24.2%	73.5%	11
3.5%	23%	73.5%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample3.9s (31.7%)

Results

2.2s	6569×	body	256	valid
836.0ms	755×	body	1024	valid
629.0ms	917×	body	512	valid
167.0ms	572×	body	256	invalid
17.0ms	15×	body	2048	valid

preprocess302.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

819×	`distribute-rgt-in_binary64`
723×	`sub-neg_binary64`
600×	`associate--r+_binary64`
535×	`fma-neg_binary64`
519×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	126
1	101	119
2	216	119
3	386	119
4	666	119
5	1102	119
6	2189	119
7	3695	119
8	4449	119
9	4708	119
10	5076	119
11	5755	119
12	6617	119
13	6617	119
14	6617	119
15	6617	119
16	6935	119
17	6963	119
18	6971	119
19	7202	119
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

Outputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 y (log.f64 x)) (.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log1p.f64 (neg.f64 x)))) t)
(fma.f64 y (log.f64 x) (fma.f64 z (log1p.f64 (neg.f64 x)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 x)) (-.f64 (*.f64 y (log.f64 x)) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 x)) (*.f64 y (log.f64 x))) t)
(-.f64 (+.f64 (.f64 z (log.f64 y)) (.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log.f64 y) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) z)) t)
(fma.f64 (log.f64 y) z (fma.f64 x (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 t (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 t (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 (log.f64 y) t (*.f64 z (log1p.f64 (neg.f64 y)))) x)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) t) x))
(-.f64 (+.f64 (.f64 x (log.f64 z)) (.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log1p.f64 (neg.f64 z)))) t)
(-.f64 (fma.f64 y (log1p.f64 (neg.f64 z)) (*.f64 x (log.f64 z))) t)
(fma.f64 x (log.f64 z) (fma.f64 y (log1p.f64 (neg.f64 z)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 x (log.f64 t)) (.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log1p.f64 (neg.f64 t)))) y)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 t)) (*.f64 x (log.f64 t))) y)
(fma.f64 z (log1p.f64 (neg.f64 t)) (fma.f64 x (log.f64 t) (neg.f64 y)))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 t (log.f64 (-.f64 1 y)))) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) t)) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) t)) z)
(fma.f64 x (log.f64 y) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) t) z))
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) t (neg.f64 z)))
(fma.f64 (log1p.f64 (neg.f64 y)) t (fma.f64 x (log.f64 y) (neg.f64 z)))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
314×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	75	17
4	123	17
5	200	17
6	376	17
7	719	17
8	1278	17
9	2030	17
10	2713	17
11	2989	17
12	3005	17
13	3005	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% 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
▶	0.1b	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
▶	10.4b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize65.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
✓	0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
✓	0.3b	(*.f64 x (log.f64 y))
✓	5.2b	(log.f64 (-.f64 1 y))

Compiler

Compiled 52 to 27 computations (48.1% saved)

series163.0ms (1.3%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
56.0ms	y	@	-inf	(*.f64 x (log.f64 y))
39.0ms	x	@	0	(*.f64 x (log.f64 y))
38.0ms	z	@	0	(*.f64 z (log.f64 (-.f64 1 y)))
10.0ms	y	@	0	(*.f64 x (log.f64 y))
6.0ms	y	@	inf	(*.f64 x (log.f64 y))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log-prod_binary64`
382×	`fma-def_binary64`
373×	`pow-prod-down_binary64`
295×	`pow2_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	226	33
2	2966	33

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
489×	`associate-l_binary64`
448×	`sub-neg_binary64`
419×	`associate--l+_binary64`
369×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1358
1	321	1225
2	997	1178
3	3766	1142

Stop Event

1×	node limit

Counts

242 → 235

Calls

Call 1

Inputs
(*.f64 -1 y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1 y))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y)))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))

Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 y))
(-.f64 (.f64 y (.f64 y -1/2)) y)
(-.f64 (.f64 -1/2 (.f64 y y)) y)
(.f64 y (+.f64 -1 (.f64 y -1/2)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (fma.f64 -1/2 (.f64 y y) (.f64 -1/3 (pow.f64 y 3))) y)
(-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)
(.f64 y (+.f64 -1 (.f64 y (+.f64 -1/2 (*.f64 y -1/3)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1 y))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/4 (pow.f64 y 4) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y))))
(fma.f64 -1/2 (.f64 y y) (-.f64 (fma.f64 -1/4 (pow.f64 y 4) (.f64 -1/3 (pow.f64 y 3))) y))
(fma.f64 -1/4 (pow.f64 y 4) (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 -1/3 (.f64 -1/4 y))))) y)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 y)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (/.f64 -1 y)))
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -1 y))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 y) (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y))))
(+.f64 (log.f64 y) (+.f64 (log.f64 -1) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (log.f64 y) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) (/.f64 -1/3 (pow.f64 y 3))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))) (/.f64 -1/3 (pow.f64 y 3))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(neg.f64 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y))
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1/3 (pow.f64 y 3))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (*.f64 (neg.f64 y) z))
(.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y))
(.f64 (-.f64 (.f64 -1/2 (*.f64 y y)) y) z)
(.f64 y (-.f64 (.f64 z (*.f64 y -1/2)) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1 (.f64 y z) (.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (.f64 z (-.f64 (.f64 -1/3 (pow.f64 y 3)) y)))
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(.f64 z (.f64 y (+.f64 -1 (.f64 y (+.f64 -1/2 (.f64 y -1/3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/4 (.f64 (pow.f64 y 4) z) (fma.f64 -1 (.f64 y z) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(+.f64 (.f64 z (-.f64 (.f64 -1/3 (pow.f64 y 3)) y)) (.f64 z (fma.f64 -1/2 (.f64 y y) (*.f64 -1/4 (pow.f64 y 4)))))
(.f64 z (fma.f64 -1/4 (pow.f64 y 4) (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)))
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)
(*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z)
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z))
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y))
(-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) (/.f64 z y))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y)))
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (.f64 -1/3 (/.f64 z (pow.f64 y 3)))) (/.f64 z y)))
(+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) (-.f64 (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)))
(-.f64 (+.f64 (.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2))) (/.f64 z y))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z)
(*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))
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(.f64 -1 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y)))
(neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))
(*.f64 z (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (.f64 -1 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))
(fma.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))))
(fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(fma.f64 -1 (.f64 y z) (.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(fma.f64 (log.f64 y) x (*.f64 (neg.f64 y) z))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1 (.f64 y z) (.f64 (log.f64 y) x)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y)))
(fma.f64 z (-.f64 (.f64 -1/2 (.f64 y y)) y) (*.f64 (log.f64 y) x))
(fma.f64 z (.f64 y (+.f64 -1 (.f64 y -1/2))) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1 (.f64 y z) (fma.f64 (log.f64 y) x (.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y)) (fma.f64 -1/3 (.f64 (pow.f64 y 3) z) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (.f64 y (+.f64 -1 (.f64 y (+.f64 -1/2 (*.f64 y -1/3)))))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x))
(fma.f64 (log.f64 y) x (*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z))
(fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x)))
(+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x)))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z)) (/.f64 z y))
(-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) (/.f64 z y))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 (neg.f64 (neg.f64 (log.f64 y))) x))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 (log.f64 y) x (.f64 (+.f64 (log.f64 -1) (log.f64 y)) z)) (/.f64 z y)))
(+.f64 (fma.f64 (log.f64 -1) z (.f64 (log.f64 y) (+.f64 z x))) (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 (neg.f64 (neg.f64 (log.f64 y))) x)))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (log.f64 y) x (.f64 (+.f64 (log.f64 -1) (log.f64 y)) z))) (/.f64 z y)))
(+.f64 (fma.f64 (log.f64 -1) z (.f64 (log.f64 y) (+.f64 z x))) (-.f64 (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z))
(-.f64 (.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (.f64 (log.f64 (/.f64 -1 y)) z))
(-.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (.f64 -1 (+.f64 (.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y))))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))
(-.f64 (*.f64 (log.f64 y) x) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y)))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (.f64 -1 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y)))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))))
(fma.f64 (log.f64 y) x (fma.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2))))
(fma.f64 (log.f64 y) x (-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (neg.f64 y))
✓	0.0b	(-.f64 (*.f64 x (log.f64 y)) t)
✓	0.0b	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
	0.3b	(*.f64 x (log.f64 y))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series17.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
2.0ms	z	@	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
2.0ms	y	@	0	(log1p.f64 (neg.f64 y))
2.0ms	x	@	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
1.0ms	y	@	-inf	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`prod-diff_binary64`
521×	`log-prod_binary64`
338×	`pow-prod-down_binary64`
303×	`fma-def_binary64`
280×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	228	27
2	2969	27

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (*.f64 x (log.f64 y)) t)
(log1p.f64 (neg.f64 y))

Outputs
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Outputs

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simplify153.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
568×	`sub-neg_binary64`
453×	`associate-+l+_binary64`
409×	`unsub-neg_binary64`
382×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1497
1	340	1394
2	1091	1371
3	4481	1333

Stop Event

1×	node limit

Counts

262 → 228

Calls

Call 1

Inputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t)
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1 y))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))

Outputs
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 -1 (.f64 y z) (.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (neg.f64 (*.f64 y z))) t)
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 y z) (.f64 (log.f64 y) x))) t)
(+.f64 (.f64 z (fma.f64 -1/2 (.f64 y y) (neg.f64 y))) (-.f64 (*.f64 (log.f64 y) x) t))
(-.f64 (fma.f64 (log.f64 y) x (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))) t)
(-.f64 (fma.f64 (log.f64 y) x (.f64 y (.f64 (+.f64 -1 (*.f64 y -1/2)) z))) t)
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 y z) (fma.f64 (log.f64 y) x (.f64 -1/3 (*.f64 z (pow.f64 y 3)))))) t)
(+.f64 (.f64 z (fma.f64 -1/2 (.f64 y y) (neg.f64 y))) (-.f64 (fma.f64 (log.f64 y) x (.f64 z (.f64 -1/3 (pow.f64 y 3)))) t))
(+.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y)) (-.f64 (*.f64 (log.f64 y) x) t))
(+.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) t)
(-.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) t)
(-.f64 (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x))) t)
(-.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) (/.f64 z y)) t)
(-.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) (+.f64 (/.f64 z y) t))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 (neg.f64 (neg.f64 (log.f64 y))) x)))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 (log.f64 y) x (.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) (/.f64 z y))) t)
(+.f64 (fma.f64 z (log.f64 -1) (.f64 (log.f64 y) (+.f64 z x))) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 (neg.f64 (neg.f64 (log.f64 y))) x))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (log.f64 y) x (.f64 z (+.f64 (log.f64 y) (log.f64 -1))))) (/.f64 z y))) t)
(+.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (log.f64 -1) (.f64 (log.f64 y) (+.f64 z x)))) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t))
(+.f64 (.f64 (/.f64 z y) (+.f64 (/.f64 -1/2 y) (+.f64 -1 (/.f64 -1/3 (.f64 y y))))) (-.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) t))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z)) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 z (neg.f64 (log.f64 (/.f64 -1 y))))) t)
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(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3)))))
(-.f64 (+.f64 (log.f64 y) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1/3 (pow.f64 y 3)) (/.f64 1 y))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 -1/3 (pow.f64 y 3))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(neg.f64 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y))
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (/.f64 1/3 (pow.f64 y 3))) (/.f64 1/2 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1/3 (pow.f64 y 3))))
(+.f64 (-.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (log.f64 (/.f64 -1 y))) (/.f64 -1/3 (pow.f64 y 3)))

eval357.0ms (2.9%)

Compiler: Compiled 9159 to 3684 computations (59.8% saved)

prune247.0ms (2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	471	17	488
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	473	17	490

Error

0.0b

Counts

490 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(*.f64 (log.f64 y) x)
	0.5b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)) (.f64 (log1p.f64 (neg.f64 y)) z)) t)
	33.6b	(-.f64 (fma.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (log1p.f64 (neg.f64 y)) z)) t)
	15.8b	(-.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t)
	36.9b	(-.f64 (+.f64 (exp.f64 (log.f64 (.f64 x (log.f64 y)))) (.f64 z (log.f64 (-.f64 1 y)))) t)
▶	0.4b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (neg.f64 y)) z)) 3)) t)
▶	25.8b	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
	40.4b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 t) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 (neg.f64 t) 2) (.f64 (.f64 x (log.f64 y)) (neg.f64 t))))))
	36.0b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
	11.3b	(fma.f64 (log.f64 y) x (neg.f64 t))
	0.5b	(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x) (.f64 (log1p.f64 (neg.f64 y)) z)) t)
▶	10.8b	(-.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (log.f64 (-.f64 1 y)))) t)
	0.8b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
▶	29.3b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))))
	51.9b	(*.f64 z (log1p.f64 (neg.f64 y)))
▶	36.3b	(neg.f64 t)
	11.3b	(-.f64 (*.f64 (log.f64 y) x) t)

Compiler

Compiled 598 to 404 computations (32.4% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (log1p.f64 (neg.f64 y)) z)
	0.3b	(*.f64 x (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 3)
✓	14.3b	(cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z))

Compiler

Compiled 67 to 20 computations (70.1% saved)

series79.0ms (0.6%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	y	@	-inf	(cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z))
12.0ms	z	@	0	(*.f64 (log1p.f64 (neg.f64 y)) z)
11.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 3)
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 3)
3.0ms	y	@	inf	(cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z))

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
604×	`add-log-exp_binary64`
603×	`expm1-log1p-u_binary64`
602×	`log1p-expm1-u_binary64`
589×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	188	20
2	1961	20

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z))
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 3)
(*.f64 (log1p.f64 (neg.f64 y)) z)

Outputs

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

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

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

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

433×	`associate-*l/_binary64`
426×	`distribute-rgt-in_binary64`
417×	`distribute-lft-in_binary64`
304×	`fma-def_binary64`
263×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	5082
1	1004	4556
2	3945	4213

Stop Event

1×	node limit

Counts

108 → 115

Calls

Call 1

Inputs
(pow.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 y))) (pow.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/3))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 y))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) 1/3) (/.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 17)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/9))) (pow.f64 y 2)))) (pow.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/3 z) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 4)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 5)) 1/9) (-.f64 (.f64 -1/2 z) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 17)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/9))))) (.f64 -1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/3)))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 y))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 2) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) 1/3) (/.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 17)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/9))) (pow.f64 y 2)))) (pow.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/3))))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 -1 y)) z)) 1/3) (cbrt.f64 -1))
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(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))

Outputs
(pow.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/3)
(cbrt.f64 (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))
(cbrt.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 z 7)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) 2)) 1/9) (/.f64 1 y))) (pow.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) 1/3))
(fma.f64 -1/3 (.f64 (/.f64 1 y) (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) 2)) 1/18))) (cbrt.f64 (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))
(fma.f64 -1/3 (/.f64 (.f64 (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 (+.f64 (log.f64 -1) (log.f64 y)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 z 7) (pow.f64 (+.f64 (log.f64 -1) (log.f64 y)) 2)) 1/18)) y) (cbrt.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y)))))
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(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) y))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y)))
(+.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))) (/.f64 z y)))
(+.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (.f64 z -1/3) (pow.f64 y 3))) (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(neg.f64 (*.f64 z (log.f64 (/.f64 -1 y))))
(*.f64 z (neg.f64 (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y)))
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))
(-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 z (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (/.f64 (*.f64 z -1/3) (pow.f64 y 3)))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))))
(+.f64 (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))

localize4.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (neg.f64 y))
✓	0.0b	(*.f64 z (log1p.f64 (neg.f64 y)))
✓	0.0b	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
0.0ms	y	@	-inf	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
0.0ms	z	@	0	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
0.0ms	t	@	0	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
0.0ms	z	@	inf	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`pow1_binary64`
757×	`add-log-exp_binary64`
756×	`expm1-log1p-u_binary64`
755×	`log1p-expm1-u_binary64`
740×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	171	15
2	2298	15

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(*.f64 z (log1p.f64 (neg.f64 y)))

Outputs

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

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
556×	`associate-+l-_binary64`
451×	`fma-def_binary64`
385×	`associate-l_binary64`
288×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	966
1	224	849
2	666	808
3	2298	795

Stop Event

1×	node limit

Counts

108 → 100

Calls

Call 1

Inputs
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 y z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 t) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(-.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) t)
(-.f64 (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y)))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))

Outputs
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
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(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
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(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
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(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
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(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
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(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
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(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(*.f64 -1 t)
(neg.f64 t)
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(.f64 -1 (+.f64 t (.f64 z y)))
(-.f64 (neg.f64 t) (*.f64 z y))
(neg.f64 (fma.f64 z y t))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 t) (.f64 -1 (*.f64 y z))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (.f64 -1 (+.f64 t (.f64 z y))))
(-.f64 (fma.f64 (.f64 (.f64 -1/2 y) y) z (neg.f64 t)) (*.f64 z y))
(fma.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y) (neg.f64 t))
(fma.f64 z (fma.f64 y (*.f64 y -1/2) (neg.f64 y)) (neg.f64 t))
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(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 t (fma.f64 -1 (.f64 z y) (.f64 -1/3 (*.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (-.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/3 (pow.f64 y 3)))) t))
(-.f64 (.f64 z (+.f64 (.f64 y (.f64 y -1/2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))) t)
(fma.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y) (neg.f64 t))
(-.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) t)
(fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (neg.f64 t))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (neg.f64 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t)
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(-.f64 (-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y)) t)
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (+.f64 (/.f64 z y) t))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (-.f64 (/.f64 (neg.f64 z) y) t))
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(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y))) t)
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) t)
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(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))) (/.f64 z y))) t)
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(-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) t)
(-.f64 (neg.f64 (*.f64 z (log.f64 (/.f64 -1 y)))) t)
(-.f64 (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z)) t)
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) t))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))) t)
(-.f64 (fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y))) t)
(-.f64 (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) t)
(-.f64 (/.f64 (neg.f64 z) y) (fma.f64 z (log.f64 (/.f64 -1 y)) t))
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(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))) t)
(+.f64 (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) t)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) t))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))) t))
(-.f64 (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2))) t)
(-.f64 (-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
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(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(*.f64 -1 t)
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(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
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(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(+.f64 (.f64 -1 t) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 -1 t (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (neg.f64 (*.f64 z y)))
(.f64 z (+.f64 (neg.f64 y) (.f64 (*.f64 -1/2 y) y)))
(.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y))
(.f64 z (fma.f64 y (.f64 y -1/2) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z y) (.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (.f64 z (+.f64 (neg.f64 y) (.f64 -1/3 (pow.f64 y 3)))))
(.f64 z (+.f64 (.f64 y (.f64 y -1/2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y)))
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/4 (.f64 z (pow.f64 y 4)) (fma.f64 -1 (.f64 z y) (.f64 -1/3 (.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/4 (.f64 z (pow.f64 y 4)) (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3))))))
(.f64 z (+.f64 (-.f64 (.f64 -1/3 (pow.f64 y 3)) y) (fma.f64 -1/2 (.f64 y y) (.f64 -1/4 (pow.f64 y 4)))))
(.f64 z (+.f64 (fma.f64 y (.f64 y -1/2) (neg.f64 y)) (.f64 (pow.f64 y 3) (+.f64 -1/3 (.f64 y -1/4)))))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 z (+.f64 (log.f64 -1) (log.f64 y)))
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))
(-.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) y))
(*.f64 z (+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 -1 y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (/.f64 z y)))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))) (/.f64 z y)))
(+.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (-.f64 (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)))
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(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(neg.f64 (*.f64 z (log.f64 (/.f64 -1 y))))
(*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))
(*.f64 z (-.f64 (log.f64 y) (log.f64 -1)))
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(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y)))
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(*.f64 z (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))
(-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 z (log.f64 (/.f64 -1 y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))))
(fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (log.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
	5.2b	(log.f64 (-.f64 1 y))

Compiler

Compiled 71 to 35 computations (50.7% saved)

series17.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	164	14
2	1624	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)
(cbrt.f64 (*.f64 x (log.f64 y)))

Outputs

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

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

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

934×	`fma-neg_binary64`
843×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
375×	`associate--r-_binary64`
338×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	232
1	76	196
2	148	196
3	298	196
4	547	196
5	1186	196
6	2779	196
7	4338	196
8	4925	196
9	5131	196
10	5367	196
11	5704	196

Stop Event

1×	node limit

Counts

76 → 60

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)

Outputs
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 y) (neg.f64 x))))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 y) (neg.f64 x))))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 y) (neg.f64 x))))
(.f64 (pow.f64 (.f64 1 (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1))
(.f64 (cbrt.f64 (.f64 x (neg.f64 (log.f64 y)))) (cbrt.f64 -1))
(.f64 (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))) (cbrt.f64 -1))
(.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (.f64 (log.f64 y) x))))
(.f64 (cbrt.f64 -1) (cbrt.f64 (.f64 (log.f64 y) (neg.f64 x))))
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 x (log.f64 y)) 2)
	0.3b	(*.f64 x (log.f64 y))
✓	3.0b	(-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t))
✓	30.1b	(/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))

Compiler

Compiled 102 to 34 computations (66.7% saved)

series17.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))
2.0ms	y	@	-inf	(/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))
1.0ms	y	@	inf	(/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))
1.0ms	t	@	0	(-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t))
1.0ms	x	@	0	(/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))

rewrite135.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`prod-diff_binary64`
620×	`log-prod_binary64`
325×	`pow2_binary64`
302×	`fma-def_binary64`
226×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	261	48
2	3449	48

Stop Event

1×	node limit

Counts

3 → 243

Calls

Call 1

Inputs
(/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))
(-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t))
(pow.f64 (*.f64 x (log.f64 y)) 2)

Outputs

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

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

562×	`times-frac_binary64`
509×	`distribute-rgt-neg-in_binary64`
379×	`distribute-lft-neg-in_binary64`
303×	`associate-/l*_binary64`
285×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	2028
1	198	2013
2	630	1974
3	4234	1923

Stop Event

1×	node limit

Counts

339 → 273

Calls

Call 1

Inputs
(/.f64 -1 t)
(-.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (/.f64 1 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3)))) (/.f64 1 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 t 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3))))) (/.f64 1 t))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(/.f64 -1 t)
(-.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (/.f64 1 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3)))) (/.f64 1 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 t 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3))))) (/.f64 1 t))
(/.f64 -1 t)
(-.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (/.f64 1 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3)))) (/.f64 1 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 t 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3))))) (/.f64 1 t))
(*.f64 -1 (pow.f64 t 2))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(-.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))
(*.f64 -1 (pow.f64 t 2))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(*.f64 -1 (pow.f64 t 2))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))

Outputs
(/.f64 -1 t)
(-.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (/.f64 1 t))
(-.f64 (neg.f64 (/.f64 (log.f64 y) (/.f64 (*.f64 t t) x))) (/.f64 1 t))
(fma.f64 -1 (*.f64 (/.f64 (log.f64 y) t) (/.f64 x t)) (/.f64 -1 t))
(-.f64 (/.f64 -1 t) (*.f64 (/.f64 (log.f64 y) t) (/.f64 x t)))
(-.f64 (/.f64 -1 t) (/.f64 (log.f64 y) (/.f64 t (/.f64 x t))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3)))) (/.f64 1 t))
(-.f64 (.f64 -1 (+.f64 (/.f64 (log.f64 y) (/.f64 (.f64 t t) x)) (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 t 3) (*.f64 x x))))) (/.f64 1 t))
(fma.f64 -1 (+.f64 (.f64 (/.f64 (log.f64 y) t) (/.f64 x t)) (/.f64 (.f64 x x) (/.f64 (pow.f64 t 3) (pow.f64 (log.f64 y) 2)))) (/.f64 -1 t))
(-.f64 (/.f64 -1 t) (fma.f64 (/.f64 (log.f64 y) t) (/.f64 x t) (/.f64 (*.f64 x x) (/.f64 (pow.f64 t 3) (pow.f64 (log.f64 y) 2)))))
(-.f64 (/.f64 -1 t) (*.f64 (/.f64 (log.f64 y) (/.f64 t (/.f64 x t))) (-.f64 (/.f64 (log.f64 y) (/.f64 t x)) -1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 t 4))) (+.f64 (.f64 -1 (/.f64 (.f64 (log.f64 y) x) (pow.f64 t 2))) (.f64 -1 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 3))))) (/.f64 1 t))
(-.f64 (fma.f64 -1 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 t 4) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (log.f64 y) (/.f64 (.f64 t t) x)) (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 t 3) (*.f64 x x)))))) (/.f64 1 t))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 y)) (/.f64 t (/.f64 x t))) (/.f64 (*.f64 x x) (/.f64 (pow.f64 t 3) (pow.f64 (log.f64 y) 2)))) (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 t 4) (pow.f64 x 3)))) (/.f64 -1 t))
(fma.f64 -1 (fma.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 t 4)) (pow.f64 x 3) (fma.f64 (/.f64 (log.f64 y) t) (/.f64 x t) (/.f64 (*.f64 x x) (/.f64 (pow.f64 t 3) (pow.f64 (log.f64 y) 2))))) (/.f64 -1 t))
(-.f64 (/.f64 -1 t) (fma.f64 (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 t 4)) (pow.f64 x 3) (*.f64 (/.f64 (log.f64 y) (/.f64 t (/.f64 x t))) (-.f64 (/.f64 (log.f64 y) (/.f64 t x)) -1))))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (/.f64 (.f64 t t) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (+.f64 (.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3))) (/.f64 1 (.f64 (log.f64 y) x))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (fma.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3)) (/.f64 t (.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (.f64 (+.f64 (/.f64 (/.f64 t (log.f64 y)) x) 1) (/.f64 t (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (/.f64 (.f64 t t) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (+.f64 (.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3))) (/.f64 (pow.f64 t 3) (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))) (fma.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3)) (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))))))
(+.f64 (.f64 (+.f64 (/.f64 (/.f64 t (log.f64 y)) x) 1) (/.f64 t (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 t 3) (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))))
(/.f64 1 (*.f64 (log.f64 y) x))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 t (.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (/.f64 (.f64 t t) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (+.f64 (.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3))) (/.f64 1 (.f64 (log.f64 y) x))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (fma.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3)) (/.f64 t (.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (.f64 (+.f64 (/.f64 (/.f64 t (log.f64 y)) x) 1) (/.f64 t (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (/.f64 (pow.f64 t 2) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (/.f64 (.f64 t t) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (+.f64 (.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3))) (/.f64 (pow.f64 t 3) (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))))))
(+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (+.f64 (/.f64 t (.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))) (fma.f64 (/.f64 t (pow.f64 (log.f64 y) 3)) (/.f64 t (pow.f64 x 3)) (/.f64 (pow.f64 t 3) (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))))))
(+.f64 (.f64 (+.f64 (/.f64 (/.f64 t (log.f64 y)) x) 1) (/.f64 t (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))))) (+.f64 (/.f64 1 (.f64 (log.f64 y) x)) (/.f64 (pow.f64 t 3) (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 t (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t) (-.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2)) (pow.f64 t 2)))
(/.f64 (fma.f64 (log.f64 y) x t) (fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t))))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))
(/.f64 (fma.f64 (log.f64 y) x t) (-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t)))
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(-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t))
(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t)))
(-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t))
(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t)))
(-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t))
(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t))
(*.f64 -1 (pow.f64 t 2))
(neg.f64 (*.f64 t t))
(*.f64 t (neg.f64 t))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t)))
(-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t))
(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t)))
(-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t))
(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t))
(+.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (.f64 -1 (pow.f64 t 2)))
(fma.f64 (pow.f64 (log.f64 y) 2) (.f64 x x) (neg.f64 (.f64 t t)))
(-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t))
(-.f64 (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))) (*.f64 t t))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) (pow.f64 x 2))
(.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))
(.f64 x (.f64 x (pow.f64 (log.f64 y) 2)))

eval427.0ms (3.5%)

Compiler: Compiled 23341 to 11776 computations (49.5% saved)

prune164.0ms (1.3%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	719	16	735
Fresh	7	5	12
Picked	1	0	1
Done	3	1	4
Total	730	22	752

Error

0.0b

Counts

752 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	38.5b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	26.3b	(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
	29.4b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))))
	49.2b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 2) (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (neg.f64 (.f64 t t))))) (/.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (neg.f64 (*.f64 t t))))))))
▶	0.8b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
▶	10.7b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
✓	36.3b	(neg.f64 t)
	36.0b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
▶	51.9b	(*.f64 z (log1p.f64 (neg.f64 y)))
	10.7b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	11.3b	(fma.f64 (log.f64 y) x (neg.f64 t))
	40.8b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))))))
	26.7b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) x))))
	1.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (neg.f64 y))) 3)) t)
	11.3b	(-.f64 (*.f64 (log.f64 y) x) t)
▶	26.5b	(-.f64 (*.f64 z (neg.f64 y)) t)
▶	1.2b	(-.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y))) t)
	10.9b	(-.f64 (+.f64 (pow.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) (.f64 z (log.f64 (-.f64 1 y)))) t)
	10.7b	(-.f64 (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) (.f64 z (log.f64 (-.f64 1 y)))) t)
	37.8b	(*.f64 (log.f64 y) x)
	26.2b	(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
	26.0b	(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)

Compiler

Compiled 824 to 553 computations (32.9% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
✓	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0.1%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (log.f64 y) x)
0.0ms	y	@	inf	(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
0.0ms	z	@	inf	(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
0.0ms	y	@	-inf	(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
0.0ms	y	@	0	(-.f64 (.f64 (log.f64 y) x) (.f64 y z))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
873×	`add-log-exp_binary64`
873×	`log1p-expm1-u_binary64`
873×	`expm1-log1p-u_binary64`
855×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	177	18
2	2399	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify257.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1295×	`distribute-rgt-in_binary64`
1170×	`fma-neg_binary64`
843×	`unsub-neg_binary64`
595×	`fma-def_binary64`
284×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	474
1	54	474
2	116	426
3	255	426
4	544	426
5	1264	426
6	3244	426
7	3927	426
8	4085	426
9	4107	426
10	4117	426
11	4617	426
12	7149	426
13	7654	426
14	7739	426
15	7779	426
16	7791	426
17	7791	426
18	7934	426
19	7958	426
20	7958	426

Stop Event

1×	node limit

Counts

103 → 70

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 7 computations (63.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary64`
694×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
679×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	155	7
2	2188	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

51×	`fma-neg_binary64`
37×	`fma-def_binary64`
23×	`cancel-sign-sub-inv_binary64`
18×	`sub-neg_binary64`
17×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	312
1	20	285
2	45	231
3	66	231
4	118	231
5	189	231
6	285	231
7	316	231
8	322	231
9	323	231

Stop Event

1×

saturated

Counts

74 → 44

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (neg.f64 y))
	0.0b	(*.f64 z (log1p.f64 (neg.f64 y)))

Compiler

Compiled 16 to 7 computations (56.3% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))
	0.3b	(*.f64 x (log.f64 y))
	0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)

Compiler

Compiled 59 to 19 computations (67.8% saved)

series21.0ms (0.2%)

Counts

1 → 27

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))
1.0ms	z	@	0	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))
1.0ms	x	@	inf	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))
1.0ms	x	@	0	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))
0.0ms	y	@	inf	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
370×	`pow-prod-down_binary64`
262×	`pow2_binary64`
258×	`fma-def_binary64`
216×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	259	10
2	3213	10

Stop Event

1×	node limit

Counts

1 → 156

Calls

Call 1

Inputs
(+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (log.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (log.f64 y) (*.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (fma.f64 x (log.f64 y) (*.f64 z y))) (/.f64 (pow.f64 (*.f64 z y) 2) (fma.f64 x (log.f64 y) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (log.f64 y) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z y)) 2) (/.f64 1 (fma.f64 x (log.f64 y) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) 2) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 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(sqrt.f64 (*.f64 x (log.f64 y))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (fma.f64 y z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z y))) (cbrt.f64 (pow.f64 (*.f64 z y) 2)) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (*.f64 x (log.f64 y)) 5/6) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (*.f64 x (log.f64 y)) 5/6) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/6) (pow.f64 (*.f64 x (log.f64 y)) 5/6) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) z) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z y) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z y)) 2) (*.f64 x (*.f64 (log.f64 y) (*.f64 z y))))) (fma.f64 y z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) (pow.f64 (*.f64 z y) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z y)) 2) (*.f64 x (*.f64 (log.f64 y) (*.f64 z y))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z y))) (cbrt.f64 (pow.f64 (*.f64 z y) 2)) (*.f64 z y)))))) (#(struct:change #<rule 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(log.f64 y))) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 z y))) (fma.f64 y z (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 z y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z y))) (cbrt.f64 (pow.f64 (*.f64 z y) 2)) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 z y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 5/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 5/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (log.f64 y)) 5/6) (pow.f64 (*.f64 x (log.f64 y)) 1/6) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1) (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 z y) 2))) (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z -1) y (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (log.f64 y)))))))

simplify150.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1179×	`fma-neg_binary64`
739×	`fma-def_binary64`
401×	`associate--r-_binary64`
382×	`associate--r+_binary64`
370×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	348
1	77	270
2	188	270
3	390	270
4	697	270
5	1317	270
6	3521	270
7	4236	270
8	4366	270
9	4383	270
10	4397	270
11	4403	270
12	7156	270
13	7856	270

Stop Event

1×	node limit

Counts

183 → 164

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 -1 (.f64 y z))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 y z)))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 y z)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 y z)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 y z)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))
(.f64 1 (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))
(fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 (log.f64 y) x)))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 (log.f64 y) x))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x))
✓	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
	5.2b	(log.f64 (-.f64 1 y))

Compiler

Compiled 87 to 40 computations (54% saved)

series21.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (log.f64 y)) 2)
2.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x))
1.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	179	19
2	1970	19

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
(cbrt.f64 (log.f64 y))
(.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x))

Outputs

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

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

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

563×	`fma-def_binary64`
492×	`unswap-sqr_binary64`
385×	`unsub-neg_binary64`
340×	`fma-neg_binary64`
329×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	91	360
2	183	360
3	529	360
4	2083	360
5	5196	360

Stop Event

1×	node limit

Counts

98 → 61

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)

Outputs
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)

eval170.0ms (1.4%)

Compiler: Compiled 11340 to 4552 computations (59.9% saved)

prune126.0ms (1%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	578	17	595
Fresh	12	4	16
Picked	1	0	1
Done	1	4	5
Total	592	25	617

Error

0.0b

Counts

617 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.8b	(*.f64 (log.f64 y) x)
	11.7b	(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x (log.f64 y) (*.f64 z y)))) t)
	10.7b	(-.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	11.3b	(-.f64 (*.f64 (log.f64 y) x) t)
	1.4b	(-.f64 (+.f64 (pow.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) (.f64 z (neg.f64 y))) t)
	29.4b	(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))))
✓	0.8b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
▶	1.2b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (neg.f64 y))) t)
▶	52.6b	(*.f64 z (neg.f64 y))
	34.1b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (neg.f64 y))) t)
	52.4b	(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
	1.2b	(-.f64 (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) (.f64 z (neg.f64 y))) t)
▶	30.8b	(-.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (.f64 y z)) t)
	52.2b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
	1.2b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (neg.f64 y))) t)
✓	36.3b	(neg.f64 t)
	1.2b	(-.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) x)) 3) (.f64 y z)) t)
	36.5b	(+.f64 (*.f64 z y) (neg.f64 t))
	31.9b	(-.f64 (+.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (.f64 z (log.f64 (-.f64 1 y)))) t)
✓	51.9b	(*.f64 z (log1p.f64 (neg.f64 y)))
	11.3b	(fma.f64 (log.f64 y) x (neg.f64 t))
	52.1b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
	11.0b	(-.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶	1.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (neg.f64 y))) 3)) t)
✓	26.5b	(-.f64 (*.f64 z (neg.f64 y)) t)

Compiler

Compiled 803 to 568 computations (29.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (neg.f64 y))) 3))
	0.3b	(*.f64 x (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 y))) 3)
✓	14.2b	(cbrt.f64 (*.f64 z (neg.f64 y)))

Compiler

Compiled 59 to 19 computations (67.8% saved)

series18.0ms (0.1%)

Counts

3 → 18

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(cbrt.f64 (*.f64 z (neg.f64 y)))
2.0ms	x	@	0	(+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (neg.f64 y))) 3))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 y))) 3)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 y))) 3)
1.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 y))) 3)

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
369×	`pow-prod-down_binary64`
267×	`fma-def_binary64`
262×	`pow2_binary64`
217×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	261	20
2	3210	20

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 z (neg.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (neg.f64 y))) 3)
(+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (neg.f64 y))) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 z y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 z y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 z) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 z y) 1/6) (pow.f64 (*.f64 z y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z y)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z y)) 1) 1/3))))))

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

simplify257.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3558×	`fma-neg_binary64`
548×	`fma-def_binary64`
379×	`unsub-neg_binary64`
356×	`associate--r-_binary64`
333×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	190
1	59	162
2	123	162
3	239	162
4	431	162
5	1042	162
6	2803	162
7	3398	162
8	3785	162
9	3814	162
10	3830	162
11	3836	162
12	6618	162
13	7442	162
14	7647	162
15	7717	162
16	7733	162
17	7741	162
18	7849	162
19	7942	162
20	7950	162
21	7954	162
22	7958	162

Stop Event

1×	node limit

Counts

265 → 254

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)

Outputs
(.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 y z)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 y z))) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)

localize5.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 12 to 6 computations (50% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (.f64 y z))
✓	0.0b	(sqrt.f64 (*.f64 (log.f64 y) x))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 54 to 18 computations (66.7% saved)

series13.0ms (0.1%)

Counts

3 → 45

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
1.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`log-prod_binary64`
375×	`exp-prod_binary64`
362×	`pow-prod-down_binary64`
303×	`fma-def_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	236	26
2	2762	26

Stop Event

1×	node limit

Counts

3 → 208

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(sqrt.f64 (*.f64 (log.f64 y) x))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (.f64 y z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y x)) 2)) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 1/4) (pow.f64 (*.f64 (log.f64 y) x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (*.f64 x (*.f64 (log.f64 y) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 3/4) (pow.f64 (*.f64 (log.f64 y) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 5/6) (pow.f64 (*.f64 (log.f64 y) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (log.f64 y) x) (log.f64 y)) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (log.f64 y) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 y) x))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 3) 1/3))))))

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (log.f64 y) x) 5/6) (pow.f64 (*.f64 (log.f64 y) x) 1/6) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (log.f64 y) x) 5/6) (pow.f64 (*.f64 (log.f64 y) x) 1/6) (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 (log.f64 y) x) (log.f64 y)) 1/2) (sqrt.f64 x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 (log.f64 y) x) (log.f64 y)) 1/2) (sqrt.f64 x) (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) 1) z (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 (log.f64 y) x))))))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

448×	`unsub-neg_binary64`
439×	`fma-neg_binary64`
434×	`fma-def_binary64`
324×	`distribute-rgt-neg-in_binary64`
312×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	458
1	62	454
2	130	454
3	317	422
4	967	422
5	3301	422
6	5986	422
7	7453	422

Stop Event

1×	node limit

Counts

253 → 221

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (log.f64 y)) x)
	0.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x))
	0.5b	(cbrt.f64 (log.f64 y))
	0.5b	(pow.f64 (cbrt.f64 (log.f64 y)) 2)

Compiler

Compiled 75 to 24 computations (68% saved)

series10.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 (cbrt.f64 (log.f64 y)) x)
2.0ms	y	@	0	(*.f64 (cbrt.f64 (log.f64 y)) x)
2.0ms	x	@	0	(*.f64 (cbrt.f64 (log.f64 y)) x)
2.0ms	y	@	inf	(*.f64 (cbrt.f64 (log.f64 y)) x)
1.0ms	x	@	inf	(*.f64 (cbrt.f64 (log.f64 y)) x)

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
482×	`add-sqr-sqrt_binary64`
464×	`add-log-exp_binary64`
464×	`log1p-expm1-u_binary64`
464×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1293	8

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 (log.f64 y)) x)

Outputs

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

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1901×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
356×	`associate-l_binary64`
334×	`sqr-pow_binary64`
302×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	66	220
2	117	220
3	227	220
4	568	220
5	1474	220
6	2405	220
7	4645	220
8	5430	220
9	5970	220
10	6335	220
11	6702	220
12	7173	220

Stop Event

1×	node limit

Counts

35 → 16

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)

Outputs
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 x (cbrt.f64 -1)))
(.f64 x (.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 x (cbrt.f64 -1)))
(.f64 x (.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 x (cbrt.f64 -1)))
(.f64 x (.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (*.f64 (cbrt.f64 -1) x))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 x (cbrt.f64 -1)))
(.f64 x (.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 1 (log.f64 y)) 1/3) x)
(*.f64 (cbrt.f64 (log.f64 y)) x)
(*.f64 x (cbrt.f64 (log.f64 y)))

eval151.0ms (1.2%)

Compiler: Compiled 11788 to 3862 computations (67.2% saved)

prune116.0ms (0.9%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	619	10	629
Fresh	8	8	16
Picked	1	0	1
Done	2	6	8
Total	630	24	654

Error

0.0b

Counts

654 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	51.5b	(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
✓	37.8b	(*.f64 (log.f64 y) x)
	11.7b	(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x (log.f64 y) (*.f64 z y)))) t)
	1.2b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 y z)) t)
	1.1b	(-.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (neg.f64 y))) t)
✓	0.8b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
	52.4b	(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
	34.1b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z)) t)
	1.2b	(-.f64 (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) (.f64 z (neg.f64 y))) t)
	35.5b	(-.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3/2)) 2) (.f64 y z)) t)
	52.2b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
	30.8b	(-.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 y) x) 3/4) (pow.f64 (.f64 (log.f64 y) x) 1/4)) (.f64 y z)) t)
✓	36.3b	(neg.f64 t)
	11.3b	(-.f64 (*.f64 (log.f64 y) x) t)
	36.5b	(+.f64 (*.f64 z y) (neg.f64 t))
✓	51.9b	(*.f64 z (log1p.f64 (neg.f64 y)))
	11.3b	(fma.f64 (log.f64 y) x (neg.f64 t))
	52.1b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
✓	26.5b	(-.f64 (*.f64 z (neg.f64 y)) t)
	1.2b	(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 y z)) t)
	38.2b	(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
	1.4b	(-.f64 (+.f64 (pow.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) (.f64 z (neg.f64 y))) t)
✓	52.6b	(*.f64 z (neg.f64 y))
	1.5b	(-.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (neg.f64 y))) t)

Compiler

Compiled 375 to 265 computations (29.3% saved)

regimes257.0ms (2.1%)

Counts

62 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x (log.f64 y) (*.f64 z y)))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (.f64 y z)) t)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) x)) 3) (.f64 y z)) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 1 (*.f64 (log.f64 y) x))))
(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 y z)) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (neg.f64 y))) 3)) t)
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (neg.f64 y))) t)
(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (neg.f64 y))) t)
(-.f64 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3/2)) 2) (.f64 y z)) t)
(-.f64 (+.f64 (pow.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) (.f64 z (neg.f64 y))) t)
(-.f64 (+.f64 (exp.f64 (log.f64 (.f64 x (log.f64 y)))) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (pow.f64 (cbrt.f64 (.f64 (log1p.f64 (neg.f64 y)) z)) 3)) t)
(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 y z)) t)
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (neg.f64 y))) t)
(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 y) x) 3/4) (pow.f64 (.f64 (log.f64 y) x) 1/4)) (.f64 y z)) t)
(-.f64 (fma.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (log1p.f64 (neg.f64 y)) z)) t)
(-.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 y z)) t)
(-.f64 (+.f64 (pow.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 x)) 3) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (neg.f64 y))) t)
(-.f64 (+.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)) (.f64 (log1p.f64 (neg.f64 y)) z)) t)
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) (.f64 z (neg.f64 y))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (.f64 x (.f64 x (pow.f64 (log.f64 y) 2))))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (*.f64 t t)))))
(-.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (neg.f64 y))) t)
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x) (.f64 (log1p.f64 (neg.f64 y)) z)) t)
(-.f64 (fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (*.f64 (log1p.f64 (neg.f64 y)) z)) t)
(-.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (neg.f64 y))) t)
(-.f64 (+.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 2) (cbrt.f64 x)) (cbrt.f64 (log.f64 y))) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 (+.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 (neg.f64 t) 3)) (+.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (-.f64 (pow.f64 (neg.f64 t) 2) (.f64 (.f64 x (log.f64 y)) (neg.f64 t))))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (/.f64 1 (.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) 2) (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (neg.f64 (.f64 t t))))) (/.f64 (cbrt.f64 (fma.f64 x (log.f64 y) t)) (hypot.f64 (.f64 x (log.f64 y)) (sqrt.f64 (neg.f64 (*.f64 t t))))))))

Outputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

Calls

7 calls:

44.0ms	x
33.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
33.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
30.0ms	y
30.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.1b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`
0.1b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 1006 to 425 computations (57.8% saved)

regimes180.0ms (1.5%)

Counts

23 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (/.f64 1 (/.f64 1 (fma.f64 x (log.f64 y) (*.f64 z y)))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)

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

Calls

7 calls:

25.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
24.0ms	z
24.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
24.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
23.0ms	t

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`z`
0.8b	1	`t`
0.8b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.8b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`
0.8b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 268 to 139 computations (48.1% saved)

regimes196.0ms (1.6%)

Counts

17 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)

Outputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (*.f64 (log.f64 y) x) t)

Calls

4 calls:

66.0ms	z
52.0ms	x
49.0ms	y
19.0ms	t

Results

Error	Segments	Branch
4.8b	3	`x`
10.2b	3	`y`
7.9b	3	`z`
11.3b	1	`t`

Compiler

Compiled 165 to 82 computations (50.3% saved)

bsearch249.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
139.0ms	3.6551756062212416e+21	5.331211528927208e+30
110.0ms	-6.662260349771423e-112	-1.1446346146115278e-117

Compiler

Compiled 24 to 18 computations (25% saved)

regimes326.0ms (2.7%)

Counts

16 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)

Outputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(-.f64 (*.f64 (log.f64 y) x) t)

Calls

4 calls:

114.0ms	z
77.0ms	x
52.0ms	y
18.0ms	t

Results

Error	Segments	Branch
5.1b	3	`x`
10.2b	3	`y`
8.0b	3	`z`
11.3b	1	`t`

Compiler

Compiled 158 to 81 computations (48.7% saved)

bsearch253.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
145.0ms	3.6551756062212416e+21	5.331211528927208e+30
108.0ms	-6.662260349771423e-112	-1.1446346146115278e-117

Compiler

Compiled 24 to 18 computations (25% saved)

regimes338.0ms (2.8%)

Counts

13 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))

Outputs
(*.f64 (log.f64 y) x)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(*.f64 (log.f64 y) x)

Calls

4 calls:

126.0ms	z
99.0ms	y
62.0ms	t
41.0ms	x

Results

Error	Segments	Branch
10.7b	3	`x`
21.8b	7	`y`
21.6b	7	`z`
18.7b	3	`t`

Compiler

Compiled 140 to 80 computations (42.9% saved)

bsearch152.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
73.0ms	5.331211528927208e+30	2.76104581971409e+35
78.0ms	-2.0555872631394794e+109	-2.9653049085388624e+108

Compiler

Compiled 24 to 18 computations (25% saved)

regimes31.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)

Outputs
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)

Calls

4 calls:

7.0ms	t
7.0ms	y
6.0ms	z
6.0ms	x

Results

Error	Segments	Branch
26.0b	1	`x`
26.0b	1	`y`
26.0b	1	`z`
26.0b	1	`t`

Compiler

Compiled 126 to 76 computations (39.7% saved)

regimes31.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 z y) (neg.f64 t))
(-.f64 (*.f64 z (neg.f64 y)) t)
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y))

Outputs
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)

Calls

4 calls:

8.0ms	y
6.0ms	z
6.0ms	t
6.0ms	x

Results

Error	Segments	Branch
26.2b	1	`x`
26.2b	1	`y`
26.2b	1	`z`
26.2b	1	`t`

Compiler

Compiled 107 to 65 computations (39.3% saved)

regimes24.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
5.0ms	x
5.0ms	z
5.0ms	t

Results

Error	Segments	Branch
26.3b	1	`x`
26.3b	1	`y`
26.3b	1	`z`
26.3b	1	`t`

Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes21.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
5.0ms	t
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
26.5b	1	`x`
26.5b	1	`y`
26.5b	1	`z`
26.5b	1	`t`

Compiler

Compiled 51 to 32 computations (37.3% saved)

regimes45.0ms (0.4%)

Accuracy

Total -32.1b remaining (-105.1%)

Threshold costs -32.1b (-105.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	y
14.0ms	t
10.0ms	z
4.0ms	x

Results

Error	Segments	Branch
36.3b	1	`x`
34.1b	5	`y`
32.6b	3	`z`
30.5b	3	`t`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch153.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	2.206964934511602e-86	1.0445042312187385e-83
89.0ms	-1.7371604739032891e-68	-4.1113581561749807e-78

Compiler

Compiled 24 to 18 computations (25% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
19×	`*-commutative_binary64`
16×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	285
1	104	285
2	126	285
3	137	285
4	142	285
5	144	285

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
(if (<=.f64 x -1803930406850973/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 3655175606221241581568) (-.f64 (.f64 z (log1p.f64 (neg.f64 y))) t) (-.f64 (*.f64 (log.f64 y) x) t)))
(if (<=.f64 x -1803930406850973/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 3655175606221241581568) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (.f64 -1/4 y) -1/3)))) y)) t) (-.f64 (*.f64 (log.f64 y) x) t)))
(if (<=.f64 x -20555872631394794439013418165011736761399242459871942852999049093281728035442776055028356032338912124266872832) (.f64 (log.f64 y) x) (if (<=.f64 x 5331211528927207912334996537344) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (.f64 -1/4 y) -1/3)))) y)) t) (*.f64 (log.f64 y) x)))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(if (<=.f64 t -8436819033640063/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (neg.f64 t) (if (<=.f64 t 772349704412991/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (*.f64 z (neg.f64 y)) (neg.f64 t)))
(neg.f64 t)

Outputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (-.f64 (.f64 (log.f64 y) x) (.f64 y z)) t)
(-.f64 (-.f64 (.f64 x (log.f64 y)) (.f64 z y)) t)
(if (<=.f64 x -1803930406850973/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 3655175606221241581568) (-.f64 (.f64 z (log1p.f64 (neg.f64 y))) t) (-.f64 (*.f64 (log.f64 y) x) t)))
(if (<=.f64 x -1803930406850973/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (.f64 x (log.f64 y)) t) (if (<=.f64 x 3655175606221241581568) (-.f64 (.f64 z (log1p.f64 (neg.f64 y))) t) (-.f64 (*.f64 x (log.f64 y)) t)))
(if (<=.f64 x -1803930406850973/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 3655175606221241581568) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (.f64 -1/4 y) -1/3)))) y)) t) (-.f64 (*.f64 (log.f64 y) x) t)))
(if (<=.f64 x -1803930406850973/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (-.f64 (.f64 x (log.f64 y)) t) (if (<=.f64 x 3655175606221241581568) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (.f64 y -1/4) -1/3)))) y)) t) (-.f64 (*.f64 x (log.f64 y)) t)))
(if (<=.f64 x -20555872631394794439013418165011736761399242459871942852999049093281728035442776055028356032338912124266872832) (.f64 (log.f64 y) x) (if (<=.f64 x 5331211528927207912334996537344) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (.f64 -1/4 y) -1/3)))) y)) t) (*.f64 (log.f64 y) x)))
(if (<=.f64 x -20555872631394794439013418165011736761399242459871942852999049093281728035442776055028356032338912124266872832) (.f64 x (log.f64 y)) (if (<=.f64 x 5331211528927207912334996537344) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (.f64 y -1/4) -1/3)))) y)) t) (*.f64 x (log.f64 y))))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 -1/4 y) -1/3)))) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 (*.f64 y -1/4) -1/3)))) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(-.f64 (.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2)))) t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(if (<=.f64 t -8436819033640063/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (neg.f64 t) (if (<=.f64 t 772349704412991/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (*.f64 z (neg.f64 y)) (neg.f64 t)))
(neg.f64 t)

Compiler

Compiled 235 to 150 computations (36.2% saved)

soundness160.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
314×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	75	17
4	123	17
5	200	17
6	376	17
7	719	17
8	1278	17
9	2030	17
10	2713	17
11	2989	17
12	3005	17
13	3005	17

Stop Event

1×

saturated

Compiler

Compiled 136 to 96 computations (29.4% saved)

end134.0ms (1.1%)

Compiler: Compiled 195 to 91 computations (53.3% saved)

Iter	Nodes	Cost
0	9	312
1	20	285
2	45	231
3	66	231
4	118	231
5	189	231
6	285	231
7	316	231
8	322	231
9	323	231

Iter	Nodes	Cost
0	9	312
1	20	285
2	45	231
3	66	231
4	118	231
5	189	231
6	285	231
7	316	231
8	322	231
9	323	231

Iter	Nodes	Cost
0	9	312
1	20	285
2	45	231
3	66	231
4	118	231
5	189	231
6	285	231
7	316	231
8	322	231
9	323	231