Details

analyze509.0ms (15.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
21.8%	78%	0.1%	9
49.1%	50.7%	0.1%	10
52.7%	47.2%	0.1%	11
52.7%	47.2%	0.1%	12
71.7%	28.2%	0.1%	13
74.1%	25.8%	0.1%	14

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

valid

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	452	21
1	452	21

prune6.0ms (0.2%)

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: 16.2b

Counts

2 → 1

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 z 6.012459259764103) z)
0.1b	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
4.3b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
15.7b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

rewrite46.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64` `associate-l_binary64`
9×	`associate-r_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-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 88

Calls

4 calls:

17.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))
11.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
8.0ms	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
7.0ms	(*.f64 (+.f64 z 6.012459259764103) z)

series62.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))
14.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
8.0ms	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
6.0ms	(*.f64 (+.f64 z 6.012459259764103) z)

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	1266
1	4984	1266

prune175.0ms (5.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (+.f64 z 6.012459259764103))
0.1b	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
0.1b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))
13.2b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

rewrite53.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`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×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 110

Calls

4 calls:

18.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))
16.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
9.0ms	(*.f64 z (+.f64 z 6.012459259764103))
7.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))

series52.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))
8.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
7.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
6.0ms	(*.f64 z (+.f64 z 6.012459259764103))

simplify75.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4982	1944
1	4982	1944

prune201.0ms (6.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

5.6b	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))))
12.7b	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
12.7b	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
12.8b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))

rewrite74.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
42×	`sqrt-prod_binary64`
24×	`associate-r_binary64` `associate-l_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1_binary64`
6×	`flip3-+_binary64` `associate-/r*_binary64` `associate-/r/_binary64` `flip-+_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 150

Calls

4 calls:

37.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))))
17.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))
7.0ms	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
7.0ms	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

series54.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (/.f64 y (sqrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))))
14.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))
5.0ms	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
5.0ms	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5363	4141

prune435.0ms (13.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	162	6	168

Merged error: 0.0b

Counts

168 → 6

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

10.3b	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)) (cbrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))))
13.1b	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
13.1b	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
13.1b	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

rewrite69.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`associate-r_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-div_binary64` `cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
15×	`associate-l_binary64`
10×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

42.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)) (cbrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))))
9.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
7.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
7.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

series64.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)) (cbrt.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))))
10.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
9.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
9.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4957	3257
1	4957	3257

prune293.0ms (8.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

regimes217.0ms (6.6%)

Accuracy

Total 0.1b remaining (89.3%)

Threshold costs 0.1b (89.3%)

bsearch29.0ms (0.9%)

Steps

Iters	Range		Point
4	55088.93381471811	96920.20317871717	95286.50519280214
10	-5.268550787526949e+62	-1.0236485138600158e+52	-3.940931593251005e+62

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	45
1	65	45

end0.0ms (0%)

sample596.0ms (18.2%)

Algorithm

1×

intervals

Results

423.0ms

8000×

body

valid

Details

analyze509.0ms (15.5%)

sample24.0ms (0.7%)

simplify14.0ms (0.4%)

prune6.0ms (0.2%)

localize14.0ms (0.4%)

rewrite46.0ms (1.4%)

series62.0ms (1.9%)

simplify47.0ms (1.4%)

prune175.0ms (5.3%)

localize14.0ms (0.4%)

rewrite53.0ms (1.6%)

series52.0ms (1.6%)

simplify75.0ms (2.3%)

prune201.0ms (6.1%)

localize18.0ms (0.6%)

rewrite74.0ms (2.3%)

series54.0ms (1.6%)

simplify48.0ms (1.5%)

prune435.0ms (13.3%)

localize18.0ms (0.6%)

rewrite69.0ms (2.1%)

series64.0ms (1.9%)

simplify70.0ms (2.1%)

prune293.0ms (8.9%)

regimes217.0ms (6.6%)

bsearch29.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample596.0ms (18.2%)

Profiling