Details

analyze897.0ms (27%)

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%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify111.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

prune9.0ms (0.3%)

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: 8.1b

Counts

2 → 1

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
8.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
7.0ms	(*.f64 y (-.f64 z t))

series32.0ms (1%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
10.0ms	(*.f64 y (-.f64 z t))

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5985	485

prune102.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series43.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5075	3149

prune215.0ms (6.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	200	7	207

Merged error: 0b

Counts

207 → 7

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

series35.0ms (1%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
13.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5083	1163

prune125.0ms (3.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
11.1b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 85

Calls

2 calls:

13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
6.0ms	(/.f64 y (-.f64 z a))

series40.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
11.0ms	(/.f64 y (-.f64 z a))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5978	882

prune90.0ms (2.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	91	7	98

Merged error: 0b

Counts

98 → 7

regimes618.0ms (18.6%)

Accuracy

Total 0.6b remaining (99%)

Threshold costs 0.6b (99%)

bsearch26.0ms (0.8%)

Steps

Iters	Range		Point
4	4.398482731871033e-122	8.591047454618913e-122	5.259769225178744e-122
7	-6.787104963398635e-146	-3.717109394511877e-147	-6.58956908808249e-146

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	41
1	45	41

end0.0ms (0%)

sample610.0ms (18.4%)

Algorithm

1×

intervals

Results

311.0ms	7997×	body	80	valid
26.0ms	712×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze897.0ms (27%)

sample23.0ms (0.7%)

simplify111.0ms (3.3%)

prune9.0ms (0.3%)

localize13.0ms (0.4%)

rewrite19.0ms (0.6%)

series32.0ms (1%)

simplify43.0ms (1.3%)

prune102.0ms (3.1%)

localize8.0ms (0.2%)

rewrite34.0ms (1%)

series43.0ms (1.3%)

simplify56.0ms (1.7%)

prune215.0ms (6.5%)

localize8.0ms (0.2%)

rewrite29.0ms (0.9%)

series35.0ms (1%)

simplify54.0ms (1.6%)

prune125.0ms (3.8%)

localize8.0ms (0.2%)

rewrite23.0ms (0.7%)

series40.0ms (1.2%)

simplify53.0ms (1.6%)

prune90.0ms (2.7%)

regimes618.0ms (18.6%)

bsearch26.0ms (0.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample610.0ms (18.4%)

Profiling