Details

analyze709.0ms (14.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample52.0ms (1%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	186×	body	80	invalid
7.0ms	125×	body	80	nan

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5189	17

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.5b

Counts

2 → 1

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.0b	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (.f64 z 2.0))) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
0.2b	(sqrt.f64 (*.f64 z 2.0))
0.3b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (*.f64 z 2.0)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64` `add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*l/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 73

Calls

4 calls:

14.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (.f64 z 2.0))) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
10.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (*.f64 z 2.0)))
5.0ms	(/.f64 (*.f64 t t) 2.0)
2.0ms	(sqrt.f64 (*.f64 z 2.0))

series79.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (.f64 z 2.0))) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
20.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (*.f64 z 2.0)))
5.0ms	(sqrt.f64 (*.f64 z 2.0))
4.0ms	(/.f64 (*.f64 t t) 2.0)

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5076	963

prune150.0ms (3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	10	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	11	86

Merged error: 0.0b

Counts

86 → 11

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.0b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0)) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
0.2b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
0.4b	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0))

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
20×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
12×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
7×	`sqrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 91

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0)) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
11.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0))
9.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
5.0ms	(/.f64 (*.f64 t t) 2.0)

series101.0ms (2%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0)) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
21.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0))
15.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
4.0ms	(/.f64 (*.f64 t t) 2.0)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4973	1257
1	4973	1257

prune164.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	105	9	114

Merged error: 0b

Counts

114 → 9

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.2b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
0.3b	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))

rewrite53.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-exp-log_binary64`
36×	`pow1_binary64`
28×	`add-cbrt-cube_binary64`
23×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`pow-prod-down_binary64`
16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
12×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
7×	`sqrt-prod_binary64`
6×	`cbrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))
16.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
8.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
5.0ms	(/.f64 (*.f64 t t) 2.0)

series92.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
22.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))
13.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
4.0ms	(/.f64 (*.f64 t t) 2.0)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4966	1372
1	4966	1372

prune213.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0b

Counts

125 → 9

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.2b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
0.3b	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`associate-r_binary64`
22×	`sqrt-prod_binary64`
20×	`pow1_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-*l/_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 100

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))
13.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0)))
8.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
5.0ms	(/.f64 (*.f64 t t) 2.0)

series65.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))
22.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0)))
14.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
7.0ms	(/.f64 (*.f64 t t) 2.0)

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4981	1218
1	4981	1218

prune164.0ms (3.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	112	9	121

Merged error: 0b

Counts

121 → 9

regimes1.1s (22.1%)

Accuracy

Total 0.5b remaining (96%)

Threshold costs 0.5b (96%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	27
1	34	27

end0.0ms (0%)

sample1.6s (31.3%)

Algorithm

1×

intervals

Results

471.0ms	8000×	body	80	valid
352.0ms	6145×	body	80	invalid
252.0ms	4395×	body	80	nan

Details

analyze709.0ms (14.2%)

sample52.0ms (1%)

simplify83.0ms (1.6%)

prune7.0ms (0.1%)

localize12.0ms (0.2%)

rewrite33.0ms (0.7%)

series79.0ms (1.6%)

simplify38.0ms (0.8%)

prune150.0ms (3%)

localize16.0ms (0.3%)

rewrite44.0ms (0.9%)

series101.0ms (2%)

simplify58.0ms (1.2%)

prune164.0ms (3.3%)

localize19.0ms (0.4%)

rewrite53.0ms (1.1%)

series92.0ms (1.8%)

simplify59.0ms (1.2%)

prune213.0ms (4.3%)

localize15.0ms (0.3%)

rewrite50.0ms (1%)

series65.0ms (1.3%)

simplify57.0ms (1.1%)

prune164.0ms (3.3%)

regimes1.1s (22.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (31.3%)

Profiling