Details

analyze707.0ms (0.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0%	49.9%	50.1%	9
0%	49.9%	50.1%	10
12.5%	25%	62.6%	11
12.5%	25%	62.6%	12
12.5%	25%	62.6%	13
12.5%	25%	62.6%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample2.8s (3.6%)

Infinites

0.4% of outputs are infinite.

Results

1.1s	6256×	body	128	valid
692.0ms	4100×	body	128	invalid
400.0ms	508×	body	1024	valid
394.0ms	827×	body	512	valid
192.0ms	662×	body	256	valid
5.0ms	3×	body	2048	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

735×	`unsub-neg_binary64`
674×	`sub-neg_binary64`
591×	`distribute-rgt-in_binary64`
584×	`fma-def_binary64`
542×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	31	23
2	65	23
3	129	23
4	308	23
5	765	23
6	1527	23
7	2231	23
8	2172	23
9	2249	23
10	2264	23
11	2274	23
12	3084	23
13	5202	23

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))) t)

Compiler

Compiled 74 to 53 computations (28.4% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))) t)
✓	0.0b	(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))
✓	0.2b	(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))

series485.0ms (0.6%)

Counts

3 → 108

Calls

3 calls:

253.0ms

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

178.0ms

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

54.0ms

(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
7×	`associate-l_binary64`

Counts

3 → 67

Calls

3 calls:

5.0ms

(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))

3.0ms

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

0.0ms

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

simplify141.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

726×	`sub-neg_binary64`
362×	`fma-def_binary64`
337×	`associate-+r+_binary64`
315×	`+-commutative_binary64`
301×	`associate-+l+_binary64`

Counts

175 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	5422
1	1016	4418
2	3880	4406
3	5134	4406

prune514.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	190	6	196

Error

0.1b

Counts

196 → 6

Alt Table

Status	Error	Program
	26.8b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
✓	0.1b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))) t)
	40.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3) (pow.f64 t 3)) (fma.f64 t (+.f64 t (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1)))) (.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))))))
	23.7b	(-.f64 (exp.f64 (log.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	22.4b	(-.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
▶	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)

Compiler

Compiled 5991 to 3355 computations (44% saved)

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))
✓	0.5b	(.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))
✓	0.7b	(cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))

series15.5s (19.6%)

Counts

3 → 108

Calls

3 calls:

14.8s

(*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))

457.0ms

(cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))

218.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))

rewrite25.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))

1.0ms

(cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))

simplify590.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

904×	`fma-def_binary64`
135×	`times-frac_binary64`
95×	`sqr-pow_binary64`
78×	`sub-neg_binary64`
40×	`unpow1/3_binary64`

Counts

201 → 308

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3519	61705
1	5036	61705

prune4.4s (5.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	642	5	647
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	644	9	653

Error

0.0b

Counts

653 → 9

Alt Table

Status	Error	Program
	22.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	22.4b	(-.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
▶	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	26.8b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
✓	0.1b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))) t)
	1.0b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	0.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	40.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3) (pow.f64 t 3)) (fma.f64 t (+.f64 t (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1)))) (.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))))))
	0.8b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) t)

Compiler

Compiled 133467 to 90875 computations (31.9% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))))
	0.5b	(.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))
	0.7b	(cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))

series16.5s (20.9%)

Counts

2 → 72

Calls

2 calls:

16.1s

(*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))))

339.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`

Counts

2 → 41

Calls

2 calls:

6.0ms

(*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))))

1.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))

simplify561.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-def_binary64`
142×	`times-frac_binary64`
100×	`sqr-pow_binary64`
68×	`sub-neg_binary64`
20×	`unpow1/3_binary64`

Counts

113 → 206

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3471	60083
1	4987	60083

prune6.4s (8.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	807	1	808
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	807	10	817

Error

0.0b

Counts

817 → 10

Alt Table

Status	Error	Program
	22.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	22.4b	(-.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	0.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (*.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y)))))))) t)
✓	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	26.8b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
✓	0.1b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))) t)
	1.0b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	0.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	40.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3) (pow.f64 t 3)) (fma.f64 t (+.f64 t (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1)))) (.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))))))
▶	0.8b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) t)

Compiler

Compiled 263540 to 179882 computations (31.7% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))
	0.5b	(.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))
	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))
	0.7b	(cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))

series14.4s (18.2%)

Counts

1 → 36

Calls

1 calls:

14.4s

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))

rewrite3.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`cbrt-prod_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))

simplify625.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

707×	`fma-def_binary64`
360×	`associate-*l/_binary64`
359×	`associate-/l*_binary64`
65×	`sqr-pow_binary64`
64×	`associate-/r*_binary64`

Counts

47 → 86

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2817	47493
1	5179	47493

prune11.1s (14.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	916	2	918
Fresh	1	6	7
Picked	0	1	1
Done	1	1	2
Total	918	10	928

Error

0.0b

Counts

928 → 10

Alt Table

Status	Error	Program
	1.0b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	19.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y)))) (fma.f64 (+.f64 x -1) (log.f64 y) (.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) t)
	22.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	22.4b	(-.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (sqrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	1.0b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) t)
	0.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1) (log.f64 y) (*.f64 (+.f64 z -1) (log1p.f64 (neg.f64 y)))))))) t)
✓	0.1b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))) t)
	0.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	40.5b	(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3) (pow.f64 t 3)) (fma.f64 t (+.f64 t (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1)))) (.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))))))
✓	0.8b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))))) t)

Compiler

Compiled 335829 to 231537 computations (31.1% saved)

regimes3.6s (4.5%)

Accuracy

Total 0.1b remaining (54.2%)

Threshold costs 0.1b (54.2%)

Counts

237 → 1

Compiler

Compiled 107804 to 67175 computations (37.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	25	23
2	32	23
3	35	23
4	36	23
5	34	23

end436.0ms (0.6%)

Compiler: Compiled 848 to 513 computations (39.5% saved)

Details

analyze707.0ms (0.9%)

sample2.8s (3.6%)

simplify97.0ms (0.1%)

prune3.0ms (0%)

localize11.0ms (0%)

series485.0ms (0.6%)

rewrite12.0ms (0%)

simplify141.0ms (0.2%)

prune514.0ms (0.7%)

localize31.0ms (0%)

series15.5s (19.6%)

rewrite25.0ms (0%)

simplify590.0ms (0.7%)

prune4.4s (5.6%)

localize19.0ms (0%)

series16.5s (20.9%)

rewrite12.0ms (0%)

simplify561.0ms (0.7%)

prune6.4s (8.1%)

localize20.0ms (0%)

series14.4s (18.2%)

rewrite3.0ms (0%)

simplify625.0ms (0.8%)

prune11.1s (14.1%)

regimes3.6s (4.5%)

simplify3.0ms (0%)

end436.0ms (0.6%)

Profiling