Details

analyze569.0ms (0.4%)

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)

sample3.4s (2.2%)

Results

1.3s	6342×	body	128	valid
831.0ms	4111×	body	128	invalid
479.0ms	832×	body	512	valid
449.0ms	486×	body	1024	valid
221.0ms	595×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify111.0ms (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

prune6.0ms (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)

localize20.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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))))

series249.0ms (0.2%)

Counts

2 → 60

Calls

2 calls:

186.0ms	(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))
63.0ms	(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-l_binary64`
7×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 36

Calls

2 calls:

11.0ms	(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))
0.0ms	(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))

simplify116.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-neg_binary64`
472×	`sub-neg_binary64`
368×	`cancel-sign-sub-inv_binary64`
336×	`distribute-rgt-in_binary64`
311×	`distribute-neg-in_binary64`

Counts

96 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	2517
1	700	2204
2	2581	2155
3	4920	2151
4	5178	2151

prune130.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	6	121

Error

0.1b

Counts

121 → 6

Alt Table

Status	Error	Program
	18.8b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (/.f64 (.f64 (log1p.f64 (neg.f64 y)) (+.f64 -1 (pow.f64 z 3))) (+.f64 (.f64 z z) (+.f64 (.f64 1 1) (.f64 z 1))))) t)
	21.2b	(-.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))))) (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)
	25.3b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
	22.5b	(-.f64 (exp.f64 (log.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)

Compiler

Compiled 3529 to 2072 computations (41.3% saved)

localize15.0ms (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))))
✓	0.4b	(.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	(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))))))

series21.2s (14.1%)

Counts

3 → 108

Calls

3 calls:

20.3s

(*.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))))))

567.0ms

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

291.0ms

(*.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))))))

rewrite46.0ms (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:

16.0ms

(*.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))))))

10.0ms

(*.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)))))

simplify1.0s (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 → 306

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3519	61705
1	5036	61705

prune6.6s (4.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	639	6	645
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	642	9	651

Error

0.0b

Counts

651 → 9

Alt Table

Status	Error	Program
	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)
	18.8b	(-.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (/.f64 (.f64 (log1p.f64 (neg.f64 y)) (+.f64 -1 (pow.f64 z 3))) (+.f64 (.f64 z z) (+.f64 (.f64 1 1) (.f64 z 1))))) t)
	1.0b	(-.f64 (.f64 (.f64 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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)
	25.3b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
▶	0.8b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) 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 (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 (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)
	21.5b	(-.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) (.f64 (sqrt.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)
	21.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.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 (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 133343 to 90885 computations (31.8% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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))))
	0.5b	(cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) 3)

Details

analyze569.0ms (0.4%)

sample3.4s (2.2%)

simplify111.0ms (0.1%)

prune6.0ms (0%)

localize20.0ms (0%)

series249.0ms (0.2%)

rewrite13.0ms (0%)

simplify116.0ms (0.1%)

prune130.0ms (0.1%)

localize15.0ms (0%)

series21.2s (14.1%)

rewrite46.0ms (0%)

simplify1.0s (0.7%)

prune6.6s (4.4%)

localize16.0ms (0%)

series1.9min (77.7%)

Profiling