Details

analyze46.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample86.0ms (3.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify73.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

664×	`unswap-sqr_binary64`
640×	`fma-def_binary64`
463×	`associate-/l*_binary64`
362×	`exp-prod_binary64`
312×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	12	9
2	23	9
3	41	9
4	85	9
5	193	9
6	434	9
7	1080	9
8	2926	9
9	3322	9
10	4145	9
11	4931	9
12	5147	9

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(exp.f64 (.f64 (.f64 x y) y))

Compiler

Compiled 30 to 17 computations (43.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (.f64 (.f64 x y) y))
✓	0.2b	(.f64 (.f64 x y) y)

series16.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(.f64 (.f64 x y) y)
6.0ms	(exp.f64 (.f64 (.f64 x y) y))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64`

Counts

2 → 32

Calls

2 calls:

4.0ms	(.f64 (.f64 x y) y)
1.0ms	(exp.f64 (.f64 (.f64 x y) y))

simplify52.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
721×	`distribute-rgt-in_binary64`
707×	`distribute-lft-in_binary64`
508×	`unswap-sqr_binary64`
212×	`*-commutative_binary64`

Counts

80 → 58

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	805
1	160	739
2	473	731
3	929	715
4	2071	706
5	5240	706

prune28.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Error

0.0b

Counts

59 → 2

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
	0.0b	(exp.f64 (.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))

Compiler

Compiled 675 to 250 computations (63% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
✓	0.0b	(pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3)
✓	0.0b	(exp.f64 (.f64 (.f64 y y) x))
✓	6.0b	(.f64 (.f64 y y) x)

series49.0ms (1.8%)

Counts

4 → 96

Calls

4 calls:

29.0ms	(pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3)
8.0ms	(.f64 (.f64 y y) x)
6.0ms	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
6.0ms	(exp.f64 (.f64 (.f64 y y) x))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

4.0ms	(.f64 (.f64 y y) x)
3.0ms	(pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3)
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
1.0ms	(exp.f64 (.f64 (.f64 y y) x))

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

649×	`distribute-rgt-in_binary64`
638×	`distribute-lft-in_binary64`
394×	`fma-def_binary64`
274×	`unswap-sqr_binary64`
263×	`*-commutative_binary64`

Counts

179 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2194
1	239	2072
2	767	2032
3	2243	2026
4	5446	2026

prune66.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Error

0.0b

Counts

101 → 3

Alt Table

Status	Error	Program
▶	0.0b	(cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))
✓	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
	0.0b	(exp.f64 (.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))

Compiler

Compiled 1615 to 736 computations (54.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (.f64 (.f64 (*.f64 y y) x) 3))
✓	0.0b	(cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))
✓	0.2b	(.f64 (.f64 (*.f64 y y) x) 3)
	6.0b	(.f64 (.f64 y y) x)

series649.0ms (23.4%)

Counts

3 → 72

Calls

3 calls:

630.0ms	(cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))
12.0ms	(.f64 (.f64 (*.f64 y y) x) 3)
7.0ms	(exp.f64 (.f64 (.f64 (*.f64 y y) x) 3))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
12×	`pow1_binary64`
6×	`cbrt-unprod_binary64`
6×	`add-log-exp_binary64`

Counts

3 → 52

Calls

3 calls:

6.0ms	(.f64 (.f64 (*.f64 y y) x) 3)
2.0ms	(exp.f64 (.f64 (.f64 (*.f64 y y) x) 3))
1.0ms	(cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))

simplify108.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
357×	`*-commutative_binary64`
300×	`associate-+l+_binary64`
276×	`distribute-rgt-in_binary64`
260×	`distribute-lft-in_binary64`

Counts

124 → 87

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	104	1604
1	220	1460
2	809	1425
3	1980	1413
4	4014	1407
5	4919	1407
6	4954	1407

prune81.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	111	3	114

Error

Counts

114 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
▶	0.0b	(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))))
	19.8b	(cbrt.f64 (exp.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (*.f64 y y) x) 3)))))

Compiler

Compiled 1661 to 841 computations (49.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))
✓	0.0b	(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))))
	0.2b	(.f64 (.f64 (*.f64 y y) x) 3)
	6.0b	(.f64 (.f64 y y) x)

series626.0ms (22.6%)

Counts

1 → 24

Calls

1 calls:

626.0ms

(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (*.f64 y y) x) 3)))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

0.0ms

(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (*.f64 y y) x) 3)))))

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1033×	`fma-def_binary64`
763×	`distribute-rgt-in_binary64`
409×	`*-commutative_binary64`
308×	`distribute-rgt-out_binary64`
281×	`sqr-pow_binary64`

Counts

35 → 27

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	494
1	90	406
2	224	394
3	780	382
4	1801	376
5	3323	376
6	5708	376

prune78.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Error

Counts

116 → 3

Alt Table

Status	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 (.f64 y y) x)) 3))
✓	0.0b	(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (.f64 (.f64 (*.f64 y y) x) 3)))))
	19.8b	(cbrt.f64 (exp.f64 (expm1.f64 (log1p.f64 (.f64 (.f64 (*.f64 y y) x) 3)))))

Compiler

Compiled 1821 to 987 computations (45.8% saved)

regimes112.0ms (4.1%)

Accuracy

Total -0.0b remaining (-277.8%)

Threshold costs -0.0b (-277.8%)

Counts

36 → 1

Compiler

Compiled 1594 to 1158 computations (27.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	12	9

end2.0ms (0.1%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

sample489.0ms (17.6%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
3.0ms	121×	body	128	invalid

Compiler

Compiled 56 to 41 computations (26.8% saved)

Details

analyze46.0ms (1.7%)

sample86.0ms (3.1%)

simplify73.0ms (2.6%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series16.0ms (0.6%)

rewrite8.0ms (0.3%)

simplify52.0ms (1.9%)

prune28.0ms (1%)

localize8.0ms (0.3%)

series49.0ms (1.8%)

rewrite15.0ms (0.5%)

simplify81.0ms (2.9%)

prune66.0ms (2.4%)

localize6.0ms (0.2%)

series649.0ms (23.4%)

rewrite10.0ms (0.4%)

simplify108.0ms (3.9%)

prune81.0ms (2.9%)

localize9.0ms (0.3%)

series626.0ms (22.6%)

rewrite1.0ms (0%)

simplify63.0ms (2.3%)

prune78.0ms (2.8%)

regimes112.0ms (4.1%)

simplify2.0ms (0.1%)

end2.0ms (0.1%)

sample489.0ms (17.6%)

Profiling