Details

analyze2.0s (28.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	80	valid
2.0ms	19×	body	80	invalid

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5461	37

prune10.0ms (0.1%)

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: 27.2b

Counts

2 → 1

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z)
2.4b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.9b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

31.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z)
8.0ms	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)

series250.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))
60.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
8.0ms	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
7.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5003	2045

prune251.0ms (3.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.3b

Counts

100 → 8

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
0.1b	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))
23.9b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite87.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
64×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

33.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
29.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))

series245.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))
56.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4989	6494
1	4989	6494

prune474.0ms (6.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	165	8	173

Merged error: 0.3b

Counts

173 → 8

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
2.1b	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
25.1b	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`associate-l_binary64`
19×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64`
6×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`

Counts

4 → 113

Calls

4 calls:

32.0ms	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
15.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
11.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
10.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))

series234.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
45.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
9.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4977	3005
1	4977	3005

prune287.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Merged error: 0.3b

Counts

133 → 8

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
0.2b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
23.9b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite83.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
5×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 109

Calls

4 calls:

30.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
30.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))

series253.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
65.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5096	3335

prune252.0ms (3.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	120	9	129

Merged error: 0.3b

Counts

129 → 9

regimes892.0ms (12.4%)

Accuracy

Total 0.8b remaining (68.9%)

Threshold costs 0.8b (68.9%)

bsearch29.0ms (0.4%)

Steps

Iters	Range		Point
3	4.3409877297504317e+52	5.118274257742305e+52	4.379279834858161e+52
5	-7.028339589576893e+40	-2.627337561854361e+40	-3.3456124168296954e+40

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	61
1	84	61

end0.0ms (0%)

sample1.2s (16.2%)

Algorithm

1×

intervals

Results

757.0ms	8000×	body	80	valid
85.0ms	878×	body	80	invalid

Details

analyze2.0s (28.1%)

sample41.0ms (0.6%)

simplify108.0ms (1.5%)

prune10.0ms (0.1%)

localize26.0ms (0.4%)

rewrite72.0ms (1%)

series250.0ms (3.5%)

simplify52.0ms (0.7%)

prune251.0ms (3.5%)

localize26.0ms (0.4%)

rewrite87.0ms (1.2%)

series245.0ms (3.4%)

simplify88.0ms (1.2%)

prune474.0ms (6.6%)

localize27.0ms (0.4%)

rewrite72.0ms (1%)

series234.0ms (3.3%)

simplify63.0ms (0.9%)

prune287.0ms (4%)

localize30.0ms (0.4%)

rewrite83.0ms (1.1%)

series253.0ms (3.5%)

simplify56.0ms (0.8%)

prune252.0ms (3.5%)

regimes892.0ms (12.4%)

bsearch29.0ms (0.4%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (16.2%)

Profiling