Details

analyze131.0ms (2.8%)

Algorithm

1×

Search

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

sample42.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify501.0ms (10.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4872	19
1	4872	19

prune22.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.3b	(.f64 (.f64 2.0 PI.f64) u2)
0.4b	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
14×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64` `prod-exp_binary64`
12×	`pow1_binary64`
11×	`times-frac_binary64`
8×	`associate-r_binary64`
6×	`add-log-exp_binary64` `pow-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64`
2×	`pow-pow_binary64` `unpow-prod-down_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))
11.0ms	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)

series273.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5))
105.0ms	(+.f64 (.f64 (.f64 (/.f64 1.0 6.0) (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
35.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	1191
1	4957	1191

prune185.0ms (4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0b

Counts

100 → 9

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.3b	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)
0.3b	(.f64 (.f64 2.0 PI.f64) u2)

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`sqr-pow_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64` `pow-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-r*_binary64`
2×	`pow-to-exp_binary64` `pow-pow_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
5.0ms	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)

series260.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(/.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) 6.0)
105.0ms	(+.f64 (.f64 (.f64 1.0 (/.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) 6.0)) (cos.f64 (.f64 (*.f64 2.0 PI.f64) u2))) 0.5)
35.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4954	1169
1	4954	1169

prune165.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(.f64 (sqrt.f64 (/.f64 1.0 6.0)) (.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0))))
0.3b	(.f64 (.f64 2.0 PI.f64) u2)
0.3b	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0)))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
30×	`sqrt-prod_binary64`
23×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`associate-l_binary64`
20×	`associate-r_binary64` `times-frac_binary64`
19×	`prod-exp_binary64`
16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
6×	`unswap-sqr_binary64` `pow-exp_binary64`
5×	`pow-prod-down_binary64` `sqr-pow_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `*-commutative_binary64`
2×	`pow-pow_binary64` `unpow-prod-down_binary64` `div-inv_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 112

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (/.f64 1.0 6.0)) (.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0))))
10.0ms	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0)))
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)
4.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)

series279.0ms (6%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(.f64 (sqrt.f64 (/.f64 1.0 6.0)) (.f64 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0))))
117.0ms	(.f64 (pow.f64 (.f64 -2.0 (log.f64 u1)) 0.5) (sqrt.f64 (/.f64 1.0 6.0)))
34.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4994	1409
1	4994	1409

prune235.0ms (5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Merged error: 0b

Counts

131 → 6

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
0.2b	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
0.3b	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))
0.3b	(.f64 (.f64 2.0 PI.f64) u2)

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`times-frac_binary64`
72×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
52×	`add-exp-log_binary64`
26×	`div-exp_binary64`
24×	`associate-/r*_binary64`
17×	`sqr-pow_binary64` `unpow-prod-down_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow1_binary64`
10×	`pow-exp_binary64`
8×	`prod-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64`
3×	`pow-unpow_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64` `associate-l_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 182

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
6.0ms	(.f64 (.f64 2.0 PI.f64) u2)
5.0ms	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))
5.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)

series297.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5))
112.0ms	(/.f64 1 (/.f64 6.0 (pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)))
34.0ms	(pow.f64 (*.f64 -2.0 (log.f64 u1)) 0.5)
5.0ms	(.f64 (.f64 2.0 PI.f64) u2)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5466	2541

prune365.0ms (7.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	194	6	200

Merged error: 0b

Counts

200 → 6

regimes309.0ms (6.6%)

Accuracy

Total 0.3b remaining (91.4%)

Threshold costs 0.3b (91.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	25
1	27	25

end0.0ms (0%)

sample1.1s (24.5%)

Algorithm

1×

intervals

Results

785.0ms	8000×	body	80	valid
191.0ms	8000×	pre	80	true

Details

analyze131.0ms (2.8%)

sample42.0ms (0.9%)

simplify501.0ms (10.7%)

prune22.0ms (0.5%)

localize19.0ms (0.4%)

rewrite35.0ms (0.7%)

series273.0ms (5.8%)

simplify66.0ms (1.4%)

prune185.0ms (4%)

localize16.0ms (0.3%)

rewrite27.0ms (0.6%)

series260.0ms (5.6%)

simplify68.0ms (1.4%)

prune165.0ms (3.5%)

localize21.0ms (0.4%)

rewrite38.0ms (0.8%)

series279.0ms (6%)

simplify52.0ms (1.1%)

prune235.0ms (5%)

localize19.0ms (0.4%)

rewrite31.0ms (0.7%)

series297.0ms (6.4%)

simplify69.0ms (1.5%)

prune365.0ms (7.8%)

regimes309.0ms (6.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (24.5%)

Profiling