Details

analyze495.0ms

Algorithm

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

sample22.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	452	21
1	452	21

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 18.4b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
0.1b	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
2.9b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.8b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
8.0ms	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
15.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
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))

series57.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)
8.0ms	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
14.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
30.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4974	1292
1	4974	1292

prune130.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
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)))
13.9b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

9.0ms	(+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
7.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
19.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))
15.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

series52.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
11.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
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)))
7.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

simplify74.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5103	1972

prune150.0ms

Filtered

85 candidates to 112 candidates (-31.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	112	5	117

Merged error: 0.0b

Counts

117 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
0.1b	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
0.3b	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304) (+.f64 (.f64 z (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
14.0b	(/.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304) (+.f64 (.f64 z (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

11.0ms	(+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
7.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
17.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304) (+.f64 (.f64 z (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
16.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304) (+.f64 (.f64 z (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

series50.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)
8.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
30.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304) (+.f64 (.f64 z (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))
7.0ms	(/.f64 (+.f64 (.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304) (+.f64 (.f64 z (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5178	3805

prune225.0ms

Filtered

124 candidates to 156 candidates (-25.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

13.8b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
13.8b	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
13.8b	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
17.8b	(/.f64 (.f64 (.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
32×	`associate-*r/_binary64`
31×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
26×	`associate-/l/_binary64`
18×	`add-exp-log_binary64`
14×	`associate-*l/_binary64`
13×	`add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/r*_binary64` `pow1/3_binary64` `times-frac_binary64`
2×	`associate-/r/_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 92

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
9.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
8.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
42.0ms	(/.f64 (.f64 (.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

series73.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
12.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
17.0ms	(cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525))
32.0ms	(/.f64 (.f64 (.f64 y (.f64 (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)) (cbrt.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525)))) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4960	3008
1	4960	3008

prune288.0ms

Filtered

92 candidates to 104 candidates (-13.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

regimes200.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.1b

bsearch40.0ms

Steps

Iters	Range		Point
9	416104.49141272006	1048069562473.0013	668128.7458562042
10	-3.620924083935107e+55	-2.427330225858695e+40	-2.041562965926091e+55

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	45
1	66	45

end0.0ms

sample594.0ms

Algorithm

intervals

Results

415.0ms

8000×

body

valid

Details

analyze495.0ms

sample22.0ms

simplify15.0ms

prune6.0ms

localize14.0ms

rewrite50.0ms

series57.0ms

simplify62.0ms

prune130.0ms

localize17.0ms

rewrite53.0ms

series52.0ms

simplify74.0ms

prune150.0ms

localize14.0ms

rewrite56.0ms

series50.0ms

simplify65.0ms

prune225.0ms

localize22.0ms

rewrite71.0ms

series73.0ms

simplify59.0ms

prune288.0ms

regimes200.0ms

bsearch40.0ms

simplify3.0ms

end0.0ms

sample594.0ms

Profiling