Details

analyze902.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4873	52
1	4873	52
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample90.0ms (0.9%)

Algorithm

1×

intervals

Results

57.0ms	256×	body	128	valid
13.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify312.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (299.0ms)

Iter	Nodes	Cost
0	5644	26

prune12.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 32 to 32 computations (0% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sqrt-pow1_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 59

Calls

4 calls:

15.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
10.0ms	(.f64 (.f64 2 PI.f64) u2)
7.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
5.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

series854.0ms (8.1%)

Counts

4 → 18

Calls

4 calls:

481.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
182.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
140.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
50.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 628 to 611 computations (2.7% saved)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5116	1290

prune201.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	8	78

Error

0.0b

Counts

78 → 8

Compiler

Compiled 1784 to 1391 computations (22% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
5.6b	(exp.f64 (log.f64 (.f64 (.f64 2 PI.f64) u2)))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`exp-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
3×	`log-pow_binary64`
2×	`sqrt-pow1_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `log-prod_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `exp-sum_binary64`

Counts

4 → 63

Calls

4 calls:

10.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
9.0ms	(.f64 (.f64 2 PI.f64) u2)
9.0ms	(exp.f64 (log.f64 (.f64 (.f64 2 PI.f64) u2)))
4.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

series499.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(exp.f64 (log.f64 (.f64 (.f64 2 PI.f64) u2)))
147.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
144.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
56.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 478 to 478 computations (0% saved)

simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4916	778
1	4916	778

prune178.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	75	8	83

Error

0.0b

Counts

83 → 8

Compiler

Compiled 1773 to 1413 computations (20.3% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
0.3b	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
0.3b	(.f64 (.f64 2 PI.f64) u2)

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64`
19×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`sqrt-pow1_binary64`
11×	`associate-l_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow1/2_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-unprod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
17.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
9.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

series585.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

200.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
187.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
144.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
53.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 522 to 522 computations (0% saved)

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	5026	1122

prune235.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	94	7	101

Error

0.0b

Counts

101 → 7

Compiler

Compiled 2208 to 1787 computations (19.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (.f64 1/6 (.f64 (log.f64 u1) -1/3)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(*.f64 (log.f64 u1) -1/3)
0.4b	(.f64 1/6 (.f64 (log.f64 u1) -1/3))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`pow1_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64` `add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
7×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-pow1_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `log-pow_binary64` `unswap-sqr_binary64` `sqrt-prod_binary64`

Counts

4 → 67

Calls

4 calls:

10.0ms	(.f64 1/6 (.f64 (log.f64 u1) -1/3))
10.0ms	(.f64 (.f64 2 PI.f64) u2)
8.0ms	(*.f64 (log.f64 u1) -1/3)
7.0ms	(sqrt.f64 (.f64 1/6 (.f64 (log.f64 u1) -1/3)))

series464.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt.f64 (.f64 1/6 (.f64 (log.f64 u1) -1/3)))
135.0ms	(*.f64 (log.f64 u1) -1/3)
125.0ms	(.f64 1/6 (.f64 (log.f64 u1) -1/3))
55.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 404 to 404 computations (0% saved)

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4845	662
1	4845	662

prune163.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	79	7	86

Error

Counts

86 → 7

Compiler

Compiled 1448 to 1095 computations (24.4% saved)

regimes1.6s (15.1%)

Accuracy

Total 0.2b remaining (99%)

Threshold costs 0.2b (99%)

Compiler

Compiled 8809 to 8559 computations (2.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	23
1	19	23

end0.0ms (0%)

sample3.6s (34.2%)

Algorithm

1×

intervals

Results

1.3s	8000×	body	128	valid
360.0ms	8000×	pre	128	true

Compiler

Compiled 794 to 771 computations (2.9% saved)

Details

analyze902.0ms (8.6%)

sample90.0ms (0.9%)

simplify312.0ms (3%)

prune12.0ms (0.1%)

localize29.0ms (0.3%)

rewrite46.0ms (0.4%)

series854.0ms (8.1%)

simplify114.0ms (1.1%)

prune201.0ms (1.9%)

localize33.0ms (0.3%)

rewrite41.0ms (0.4%)

series499.0ms (4.8%)

simplify143.0ms (1.4%)

prune178.0ms (1.7%)

localize30.0ms (0.3%)

rewrite62.0ms (0.6%)

series585.0ms (5.6%)

simplify140.0ms (1.3%)

prune235.0ms (2.2%)

localize30.0ms (0.3%)

rewrite45.0ms (0.4%)

series464.0ms (4.4%)

simplify104.0ms (1%)

prune163.0ms (1.6%)

regimes1.6s (15.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.6s (34.2%)

Profiling