Details

analyze449.0ms (0.3%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	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
4.7%	21.8%	73.5%	11
4.7%	21.8%	73.5%	12
7%	19.5%	73.5%	13
8.2%	17.5%	74.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample2.2s (1.5%)

Results

1.1s	6272×	body	128	valid
401.0ms	847×	body	512	valid
389.0ms	494×	body	1024	valid
204.0ms	642×	body	256	valid
65.0ms	294×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify90.0ms (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

prune4.0ms (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))))

series389.0ms (0.3%)

Counts

3 → 108

Calls

3 calls:

197.0ms

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

143.0ms

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

49.0ms

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

rewrite13.0ms (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:

7.0ms

(*.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))))

simplify112.0ms (0.1%)

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

prune210.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	189	6	195
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	7	196

Error

0.1b

Counts

196 → 7

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)
	26.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
	20.5b	(-.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)
	26.1b	(-.f64 (cbrt.f64 (.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))))) (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	37.4b	(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 1 y) (+.f64 z -1)) (pow.f64 y (+.f64 x -1)))) t)
▶	0.3b	(-.f64 (-.f64 (+.f64 y (fma.f64 1/3 (pow.f64 y 3) (fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y))))) (+.f64 (fma.f64 1/3 (.f64 z (pow.f64 y 3)) (log.f64 y)) (.f64 z (fma.f64 1/2 (*.f64 y y) y)))) t)

Compiler

Compiled 6031 to 3381 computations (43.9% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 y (fma.f64 1/3 (pow.f64 y 3) (fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y)))))
✓	0.0b	(fma.f64 1/3 (*.f64 z (pow.f64 y 3)) (log.f64 y))
✓	0.3b	(fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y)))
✓	6.1b	(*.f64 z (pow.f64 y 3))

series139.0ms (0.1%)

Counts

4 → 96

Calls

4 calls:

44.0ms	(fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y)))
43.0ms	(+.f64 y (fma.f64 1/3 (pow.f64 y 3) (fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y)))))
40.0ms	(fma.f64 1/3 (*.f64 z (pow.f64 y 3)) (log.f64 y))
11.0ms	(*.f64 z (pow.f64 y 3))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`
9×	`add-exp-log_binary64`

Counts

4 → 71

Calls

4 calls:

5.0ms	(*.f64 z (pow.f64 y 3))
2.0ms	(+.f64 y (fma.f64 1/3 (pow.f64 y 3) (fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y)))))
0.0ms	(fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y)))
0.0ms	(fma.f64 1/3 (*.f64 z (pow.f64 y 3)) (log.f64 y))

simplify124.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-neg_binary64`
587×	`distribute-rgt-in_binary64`
574×	`distribute-lft-in_binary64`
436×	`fma-def_binary64`
250×	`*-commutative_binary64`

Counts

167 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	2376
1	304	2225
2	977	2160
3	3852	2109
4	4714	2109
5	4990	2109
6	4881	2109

prune228.0ms (0.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	133	7	140

Error

0.1b

Counts

140 → 7

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)
	26.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
	20.5b	(-.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)
	26.1b	(-.f64 (cbrt.f64 (.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))))) (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
	37.4b	(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 1 y) (+.f64 z -1)) (pow.f64 y (+.f64 x -1)))) t)
✓	0.3b	(-.f64 (-.f64 (+.f64 y (fma.f64 1/3 (pow.f64 y 3) (fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y))))) (+.f64 (fma.f64 1/3 (.f64 z (pow.f64 y 3)) (log.f64 y)) (.f64 z (fma.f64 1/2 (*.f64 y y) y)))) t)

Compiler

Compiled 6031 to 3253 computations (46.1% 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))))
✓	0.3b	(.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	(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))))))

series4.6s (3.1%)

Counts

3 → 108

Calls

3 calls:

4.3s

(*.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))))))

174.0ms

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

149.0ms

(*.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))))))

rewrite20.0ms (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)))))

simplify1.2s (0.8%)

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

prune3.0s (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	640	5	645
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	642	10	652

Error

0.1b

Counts

652 → 10

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)
	0.9b	(-.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 (.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)
	26.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (+.f64 x -1) (*.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1))) 3)) t)
	20.8b	(-.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)
	26.1b	(-.f64 (cbrt.f64 (.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))))) (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
▶	0.9b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) 3) t)
	20.5b	(-.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)
	7.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))) (cbrt.f64 (.f64 (log.f64 y) (+.f64 x -1)))) (cbrt.f64 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)
✓	0.3b	(-.f64 (-.f64 (+.f64 y (fma.f64 1/3 (pow.f64 y 3) (fma.f64 (log.f64 y) x (.f64 1/2 (.f64 y y))))) (+.f64 (fma.f64 1/3 (.f64 z (pow.f64 y 3)) (log.f64 y)) (.f64 z (fma.f64 1/2 (*.f64 y y) y)))) t)
	1.0b	(-.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)))))))) (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 (fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))))) t)

Compiler

Compiled 133200 to 90793 computations (31.8% saved)

localize14.0ms (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

analyze449.0ms (0.3%)

sample2.2s (1.5%)

simplify90.0ms (0.1%)

prune4.0ms (0%)

localize11.0ms (0%)

series389.0ms (0.3%)

rewrite13.0ms (0%)

simplify112.0ms (0.1%)

prune210.0ms (0.1%)

localize20.0ms (0%)

series139.0ms (0.1%)

rewrite10.0ms (0%)

simplify124.0ms (0.1%)

prune228.0ms (0.2%)

localize15.0ms (0%)

series4.6s (3.1%)

rewrite20.0ms (0%)

simplify1.2s (0.8%)

prune3.0s (2%)

localize14.0ms (0%)

series2.3min (91.4%)

Profiling