Details

analyze509.0ms (6.4%)

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%	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)

sample2.4s (29.7%)

Results

1.2s	6324×	body	128	valid
444.0ms	860×	body	512	valid
385.0ms	498×	body	1024	valid
188.0ms	572×	body	256	valid
51.0ms	305×	body	128	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify90.0ms (1.1%)

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))
✓	0.1b	(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))

series231.0ms (2.9%)

Counts

2 → 60

Calls

2 calls:

175.0ms	(fma.f64 (-.f64 x 1) (log.f64 y) (*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y))))
56.0ms	(*.f64 (-.f64 z 1) (log1p.f64 (neg.f64 y)))

rewrite8.0ms (0.1%)

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:

6.0ms	(*.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))))

simplify85.0ms (1.1%)

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

prune122.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	2	121

Error

0.0b

Counts

121 → 2

Alt Table

Status	Error	Program
	20.2b	(-.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)
▶	0.1b	(-.f64 (+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)

Status

Error

Program

20.2b

(-.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)

▶

0.1b

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

Compiler

Compiled 3300 to 1908 computations (42.2% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y))))
✓	0.0b	(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))
✓	0.3b	(*.f64 (log.f64 y) x)

series543.0ms (6.8%)

Counts

3 → 68

Calls

3 calls:

240.0ms	(+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y))))
211.0ms	(*.f64 (log.f64 y) x)
91.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`pow1_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 46

Calls

3 calls:

3.0ms	(+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y))))
3.0ms	(*.f64 (log.f64 y) x)
0.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-neg_binary64`
456×	`sub-neg_binary64`
416×	`distribute-rgt-in_binary64`
358×	`cancel-sign-sub-inv_binary64`
309×	`distribute-neg-in_binary64`

Counts

114 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2829
1	688	2534
2	2452	2418
3	4525	2414
4	4998	2414
5	4962	2414

prune124.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Error

0.0b

Counts

135 → 5

Alt Table

Status	Error	Program
	20.2b	(-.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)
✓	0.1b	(-.f64 (+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
	34.1b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
▶	0.5b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)

Compiler

Compiled 3918 to 1902 computations (51.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
✓	0.4b	(.f64 (log.f64 y) (.f64 (cbrt.f64 x) (cbrt.f64 x)))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series765.0ms (9.6%)

Counts

4 → 72

Calls

4 calls:

483.0ms	(.f64 (log.f64 y) (.f64 (cbrt.f64 x) (cbrt.f64 x)))
213.0ms	(.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
38.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
30.0ms	(cbrt.f64 x)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

7.0ms	(.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
7.0ms	(.f64 (log.f64 y) (.f64 (cbrt.f64 x) (cbrt.f64 x)))
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

629×	`unswap-sqr_binary64`
471×	`distribute-rgt-in_binary64`
444×	`distribute-lft-in_binary64`
416×	`*-commutative_binary64`
408×	`log-prod_binary64`

Counts

175 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1805
1	244	1524
2	880	1413
3	1415	1385
4	4684	1385
5	4974	1385

prune197.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	190	5	195

Error

0.0b

Counts

195 → 5

Alt Table

Status	Error	Program
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
▶	0.4b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
✓	0.1b	(-.f64 (+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
	34.2b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
	34.3b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)

Compiler

Compiled 5628 to 1961 computations (65.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.5b	(cbrt.f64 (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))

series1.2s (14.7%)

Counts

2 → 24

Calls

2 calls:

903.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
260.0ms	(cbrt.f64 (cbrt.f64 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
1.0ms	(cbrt.f64 (cbrt.f64 x))

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

692×	`sqr-pow_binary64`
622×	`fma-def_binary64`
551×	`unswap-sqr_binary64`
376×	`distribute-rgt-in_binary64`
313×	`*-commutative_binary64`

Counts

51 → 42

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	468
1	78	468
2	138	468
3	283	468
4	779	450
5	1271	450
6	1449	450
7	1730	450
8	2156	450
9	2689	450
10	3638	450
11	4799	450
12	4840	450

prune195.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	191	5	196

Error

0.0b

Counts

196 → 5

Alt Table

Status	Error	Program
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
✓	0.4b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
✓	0.1b	(-.f64 (+.f64 (*.f64 (log.f64 y) x) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
	34.2b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)
	34.3b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) (cbrt.f64 x)) (fma.f64 (log1p.f64 (neg.f64 y)) (+.f64 z -1) (neg.f64 (log.f64 y)))) t)

Compiler

Compiled 7079 to 2232 computations (68.5% saved)

regimes1.0s (12.6%)

Accuracy

Total 0.0b remaining (31.8%)

Threshold costs 0.0b (31.8%)

Counts

111 → 1

Compiler

Compiled 24166 to 15934 computations (34.1% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	25	27
2	32	27
3	36	27
4	37	27
5	37	27

end105.0ms (1.3%)

Compiler: Compiled 196 to 119 computations (39.3% saved)

Details

analyze509.0ms (6.4%)

sample2.4s (29.7%)

simplify90.0ms (1.1%)

prune4.0ms (0%)

localize12.0ms (0.2%)

series231.0ms (2.9%)

rewrite8.0ms (0.1%)

simplify85.0ms (1.1%)

prune122.0ms (1.5%)

localize15.0ms (0.2%)

series543.0ms (6.8%)

rewrite8.0ms (0.1%)

simplify120.0ms (1.5%)

prune124.0ms (1.6%)

localize17.0ms (0.2%)

series765.0ms (9.6%)

rewrite23.0ms (0.3%)

simplify115.0ms (1.4%)

prune197.0ms (2.5%)

localize21.0ms (0.3%)

series1.2s (14.7%)

rewrite4.0ms (0.1%)

simplify101.0ms (1.3%)

prune195.0ms (2.5%)

regimes1.0s (12.6%)

simplify3.0ms (0%)

end105.0ms (1.3%)

Profiling