Details

analyze274.0ms (3.7%)

Algorithm

1×

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)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify266.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	5644	26

prune7.0ms (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)

localize14.0ms (0.2%)

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))))

rewrite111.0ms (1.5%)

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)
4.0ms	(+.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)

series530.0ms (7.1%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

287.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
107.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
82.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
33.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1008 to 906 computations (10.1% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5116	1290

prune115.0ms (1.5%)

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

Counts

78 → 8

Compiler

Compiled 1777 to 1348 computations (24.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
0.5b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

rewrite156.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`sqrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
19×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `log-pow_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64`
1×	`sqrt-unprod_binary64` `rem-sqrt-square_binary64`

Counts

4 → 97

Calls

4 calls:

10.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
8.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 2329 to 1527 computations (34.4% saved)

series328.0ms (4.4%)

Error

Counts

4 → 12

Calls

4 calls:

111.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
100.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
73.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
32.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 693 to 643 computations (7.2% saved)

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4949	1396
1	4949	1396

prune138.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Error

Counts

117 → 8

Compiler

Compiled 2564 to 1742 computations (32.1% 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 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
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)

rewrite155.0ms (2.1%)

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×	`*-commutative_binary64` `sqrt-unprod_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

12.0ms	(.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)
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 2102 to 1702 computations (19% saved)

series337.0ms (4.5%)

Error

Counts

4 → 12

Calls

4 calls:

116.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
96.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
77.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
33.0ms	(.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 (59.0ms)

Iter	Nodes	Cost
0	5026	1122

prune131.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Error

Counts

101 → 8

Compiler

Compiled 2240 to 1796 computations (19.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.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)

rewrite98.0ms (1.3%)

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:

5.0ms	(.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 (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))))
76.0ms	(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 (0.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4887	1115
1	4887	1115

prune89.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	79	6	85

Error

Counts

85 → 6

Compiler

Compiled 1463 to 1060 computations (27.5% saved)

regimes1.3s (17.2%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 14358 to 13759 computations (4.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	23
1	19	23

end0.0ms (0%)

sample2.6s (35.2%)

Algorithm

1×

intervals

Results

772.0ms	8000×	body	128	valid
207.0ms	8000×	pre	128	true

Compiler

Compiled 1267 to 1214 computations (4.2% saved)

Details

analyze274.0ms (3.7%)

sample48.0ms (0.6%)

simplify266.0ms (3.5%)

prune7.0ms (0.1%)

localize14.0ms (0.2%)

rewrite111.0ms (1.5%)

series530.0ms (7.1%)

simplify69.0ms (0.9%)

prune115.0ms (1.5%)

localize15.0ms (0.2%)

rewrite156.0ms (2.1%)

series328.0ms (4.4%)

simplify54.0ms (0.7%)

prune138.0ms (1.8%)

localize15.0ms (0.2%)

rewrite155.0ms (2.1%)

series337.0ms (4.5%)

simplify76.0ms (1%)

prune131.0ms (1.8%)

localize15.0ms (0.2%)

rewrite98.0ms (1.3%)

series448.0ms (6%)

simplify66.0ms (0.9%)

prune89.0ms (1.2%)

regimes1.3s (17.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (35.2%)

Profiling