Details

analyze546.0ms (6.8%)

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)

sample55.0ms (0.7%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
14.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify171.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	5644	26

prune8.0ms (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)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.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))))

rewrite115.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 59

Calls

4 calls:

8.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1408 to 1076 computations (23.6% saved)

series573.0ms (7.2%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

288.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
125.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
93.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
42.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1008 to 906 computations (10.1% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5116	1290

prune117.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Error

0.0b

Counts

78 → 9

Compiler

Compiled 1801 to 1374 computations (23.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.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)
0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

rewrite161.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

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×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
9×	`sqrt-prod_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_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:

11.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
8.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 2102 to 1702 computations (19% saved)

series336.0ms (4.2%)

Error

Counts

4 → 12

Calls

4 calls:

113.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
99.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
80.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
28.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 783 to 743 computations (5.1% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5026	1122

prune137.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	94	8	102

Error

Counts

102 → 8

Compiler

Compiled 2259 to 1817 computations (19.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

rewrite100.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 59

Calls

4 calls:

6.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
5.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
3.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))

Compiler

Compiled 1397 to 1070 computations (23.4% saved)

series448.0ms (5.6%)

Error

Counts

4 → 18

Calls

4 calls:

250.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
74.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
72.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
29.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 923 to 821 computations (11.1% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4887	1115
1	4887	1115

prune101.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	78	7	85

Error

Counts

85 → 7

Compiler

Compiled 1597 to 1182 computations (26% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
2.7b	(pow.f64 u1 -1/18)

rewrite94.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64`
10×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64`
4×	`sqrt-prod_binary64`
3×	`unpow-prod-down_binary64` `pow-unpow_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `sqr-pow_binary64` `associate-l_binary64` `*-commutative_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `log-pow_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 60

Calls

4 calls:

5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(pow.f64 u1 -1/18)
1.0ms	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))

Compiler

Compiled 1260 to 1004 computations (20.3% saved)

series623.0ms (7.8%)

Error

Counts

4 → 18

Calls

4 calls:

352.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
144.0ms	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
76.0ms	(pow.f64 u1 -1/18)
29.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 923 to 844 computations (8.6% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4902	1128
1	4902	1128

prune84.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Error

Counts

85 → 7

Compiler

Compiled 1428 to 1060 computations (25.8% saved)

regimes1.3s (16.6%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 14395 to 13810 computations (4.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	29
1	22	29

end0.0ms (0%)

sample2.7s (33.3%)

Algorithm

1×

intervals

Results

773.0ms	8000×	body	128	valid
203.0ms	8000×	pre	128	true

Compiler

Compiled 1275 to 1224 computations (4% saved)

Details

analyze546.0ms (6.8%)

sample55.0ms (0.7%)

simplify171.0ms (2.1%)

prune8.0ms (0.1%)

localize15.0ms (0.2%)

rewrite115.0ms (1.4%)

series573.0ms (7.2%)

simplify68.0ms (0.8%)

prune117.0ms (1.5%)

localize15.0ms (0.2%)

rewrite161.0ms (2%)

series336.0ms (4.2%)

simplify76.0ms (1%)

prune137.0ms (1.7%)

localize13.0ms (0.2%)

rewrite100.0ms (1.2%)

series448.0ms (5.6%)

simplify66.0ms (0.8%)

prune101.0ms (1.3%)

localize16.0ms (0.2%)

rewrite94.0ms (1.2%)

series623.0ms (7.8%)

simplify80.0ms (1%)

prune84.0ms (1%)

regimes1.3s (16.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (33.3%)

Profiling