Details

analyze431.0ms (6%)

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 18 to 13 computations (27.8% saved)

sample2.4s (33.3%)

Results

968.0ms	6031×	body	128	valid
498.0ms	658×	body	1024	valid
410.0ms	879×	body	512	valid
201.0ms	670×	body	256	valid
48.0ms	314×	body	128	invalid
16.0ms	18×	body	2048	valid

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
326×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	71	17
4	112	17
5	173	17
6	293	17
7	437	17
8	681	17
9	1080	17
10	1312	17
11	1523	17
12	1539	17
13	1539	17
14	1492	17

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series324.0ms (4.5%)

Counts

2 → 60

Calls

2 calls:

191.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
133.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

5.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
533×	`sub-neg_binary64`
499×	`times-frac_binary64`
277×	`associate--r+_binary64`
275×	`unsub-neg_binary64`

Counts

90 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1496
1	384	1354
2	1222	1300
3	3840	1300
4	5080	1300

prune65.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Error

0.1b

Counts

98 → 4

Alt Table

Status	Error	Program
	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	31.9b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
	28.1b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
▶	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)

Compiler

Compiled 2014 to 866 computations (57% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series308.0ms (4.3%)

Counts

2 → 44

Calls

2 calls:

163.0ms	(*.f64 (log.f64 y) x)
145.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
5×	`pow1_binary64`
4×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 31

Calls

2 calls:

3.0ms	(*.f64 (log.f64 y) x)
0.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

689×	`fma-neg_binary64`
557×	`times-frac_binary64`
383×	`sub-neg_binary64`
308×	`fma-def_binary64`
307×	`distribute-neg-in_binary64`

Counts

75 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1164
1	296	1065
2	860	963
3	2644	961
4	4653	961
5	5184	961

prune55.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Error

0.1b

Counts

80 → 7

Alt Table

Status	Error	Program
	0.7b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
▶	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	26.7b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (cbrt.f64 (.f64 (.f64 (.f64 (log.f64 y) (log.f64 y)) (log.f64 y)) (.f64 (*.f64 x x) x)))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	28.1b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
✓	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	31.9b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) t)

Compiler

Compiled 1632 to 669 computations (59% saved)

localize12.0ms (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 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))
✓	0.5b	(cbrt.f64 (log.f64 y))
✓	0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))

series1.5s (21.6%)

Counts

4 → 72

Calls

4 calls:

653.0ms	(*.f64 (cbrt.f64 (log.f64 y)) x)
460.0ms	(cbrt.f64 (log.f64 y))
261.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
173.0ms	(.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-prod_binary64`
33×	`pow1_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`

Counts

4 → 110

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
7.0ms	(.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))
3.0ms	(*.f64 (cbrt.f64 (log.f64 y)) x)
1.0ms	(cbrt.f64 (log.f64 y))

simplify116.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

429×	`distribute-rgt-neg-out_binary64`
387×	`neg-mul-1_binary64`
383×	`log-prod_binary64`
357×	`distribute-lft-neg-out_binary64`
338×	`exp-prod_binary64`

Counts

182 → 140

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	1712
1	233	1487
2	728	1437
3	1453	1419
4	3867	1333
5	4887	1333
6	4884	1333

prune166.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	170	6	176
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	171	12	183

Error

0.0b

Counts

183 → 12

Alt Table

Status	Error	Program
	0.7b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
✓	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	0.7b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
▶	0.3b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (.f64 (cbrt.f64 (log.f64 y)) x))) t)
✓	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))) (cbrt.f64 (cbrt.f64 (log.f64 y)))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	0.8b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) x)) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) x))) (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) x))))) t)
	28.1b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
	31.9b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) t)

Compiler

Compiled 4899 to 1310 computations (73.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series505.0ms (7.1%)

Counts

3 → 44

Calls

3 calls:

308.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))
176.0ms	(.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (.f64 (cbrt.f64 (log.f64 y)) x))
21.0ms	(pow.f64 (log.f64 y) 2)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
12×	`associate-l_binary64`
12×	`unpow-prod-down_binary64`
12×	`pow1_binary64`
10×	`*-un-lft-identity_binary64`

Counts

3 → 69

Calls

3 calls:

6.0ms	(.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (.f64 (cbrt.f64 (log.f64 y)) x))
1.0ms	(pow.f64 (log.f64 y) 2)
1.0ms	(cbrt.f64 (pow.f64 (log.f64 y) 2))

simplify138.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

730×	`associate-r_binary64`
449×	`exp-prod_binary64`
437×	`log-prod_binary64`
342×	`cube-prod_binary64`
331×	`fma-neg_binary64`

Counts

113 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	97	1341
1	201	1060
2	562	1034
3	1867	1028
4	3870	889
5	3978	889
6	4309	889
7	4955	889
8	4905	889

prune159.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	6	3	9
Picked	1	0	1
Done	0	2	2
Total	118	9	127

Error

0.0b

Counts

127 → 9

Alt Table

Status	Error	Program
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (log.f64 y) 2)))) (.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
✓	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.5b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)))) (.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.8b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) x)) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 y)) x))) (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) x))))) t)
	28.1b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
✓	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	0.4b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)

Compiler

Compiled 2822 to 1230 computations (56.4% saved)

regimes510.0ms (7.1%)

Accuracy

Total 0.1b remaining (63.1%)

Threshold costs 0.1b (63.1%)

Counts

79 → 1

Compiler

Compiled 11534 to 7176 computations (37.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	18	17
2	23	17
3	26	17
4	27	17
5	27	17

end145.0ms (2%)

Compiler: Compiled 263 to 159 computations (39.5% saved)

Details

analyze431.0ms (6%)

sample2.4s (33.3%)

simplify56.0ms (0.8%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series324.0ms (4.5%)

rewrite6.0ms (0.1%)

simplify70.0ms (1%)

prune65.0ms (0.9%)

localize13.0ms (0.2%)

series308.0ms (4.3%)

rewrite4.0ms (0.1%)

simplify75.0ms (1%)

prune55.0ms (0.8%)

localize12.0ms (0.2%)

series1.5s (21.6%)

rewrite26.0ms (0.4%)

simplify116.0ms (1.6%)

prune166.0ms (2.3%)

localize14.0ms (0.2%)

series505.0ms (7.1%)

rewrite11.0ms (0.2%)

simplify138.0ms (1.9%)

prune159.0ms (2.2%)

regimes510.0ms (7.1%)

simplify2.0ms (0%)

end145.0ms (2%)

Profiling