Details

analyze493.0ms

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

12.0ms

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

prune7.0ms

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: 16.2b

Counts

2 → 1

localize16.0ms

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))

rewrite44.0ms

Algorithm

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:

6.0ms	(*.f64 (+.f64 z 6.012459259764103) z)
8.0ms	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
11.0ms	(.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))

series63.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (+.f64 z 6.012459259764103) z)
8.0ms	(.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z)
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
31.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+.f64 (.f64 (+.f64 z 6.012459259764103) z) 3.350343815022304))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	1266
1	4984	1266

prune141.0ms

Filtered

74 candidates to 100 candidates (-35.1%)

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

localize13.0ms

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

Algorithm

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:

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 z (+.f64 z 6.012459259764103))
8.0ms	(.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968))
31.0ms	(.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

122 → 122

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4982	1944
1	4982	1944

prune154.0ms

Filtered

87 candidates to 122 candidates (-40.2%)

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

localize15.0ms

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)))

rewrite75.0ms

Algorithm

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:

39.0ms	(.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))))
6.0ms	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
7.0ms	(sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))
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)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(.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))))
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))
10.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (sqrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304)))

simplify52.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5363	4141

prune266.0ms

Filtered

117 candidates to 162 candidates (-38.5%)

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

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))

rewrite67.0ms

Algorithm

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:

41.0ms	(.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))))
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))
7.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

series62.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.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))
10.0ms	(cbrt.f64 (+.f64 (*.f64 z (+.f64 z 6.012459259764103)) 3.350343815022304))

simplify74.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4957	3257
1	4957	3257

prune258.0ms

Filtered

102 candidates to 120 candidates (-17.6%)

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

regimes211.0ms

Accuracy

99.6% (0.1b remaining)

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

bsearch28.0ms

Steps

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

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	45
1	65	45

end0.0ms

sample572.0ms

Algorithm

intervals

Results

404.0ms

8000×

body

valid

Details

analyze493.0ms

sample22.0ms

simplify15.0ms

prune7.0ms

localize16.0ms

rewrite44.0ms

series63.0ms

simplify46.0ms

prune141.0ms

localize13.0ms

rewrite53.0ms

series53.0ms

simplify74.0ms

prune154.0ms

localize15.0ms

rewrite75.0ms

series51.0ms

simplify52.0ms

prune266.0ms

localize18.0ms

rewrite67.0ms

series62.0ms

simplify74.0ms

prune258.0ms

regimes211.0ms

bsearch28.0ms

simplify3.0ms

end0.0ms

sample572.0ms

Profiling