Details

analyze1.9s

Algorithm

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

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
3.0ms	31×	body	80	invalid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5461	37

prune9.0ms

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: 27.7b

Counts

2 → 1

localize23.0ms

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 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z)
2.9b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.5b	(/.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

Algorithm

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:

7.0ms	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z)
19.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.0ms	(/.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))

series245.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z)
57.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
164.0ms	(/.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))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4995	2131
1	4995	2131

prune222.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
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)))
24.4b	(/.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))

rewrite92.0ms

Algorithm

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:

12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
16.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
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))

series370.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
22.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
276.0ms	(.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)))
58.0ms	(/.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))

simplify85.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5003	3533

prune238.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
0.2b	(/.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)))
24.4b	(/.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))

rewrite86.0ms

Algorithm

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:

11.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
14.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
28.0ms	(/.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)))
28.0ms	(/.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))

series237.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
13.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
164.0ms	(/.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)))
53.0ms	(/.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))

simplify83.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4998	6692
1	4998	6692

prune367.0ms

Filtered

129 candidates to 165 candidates (-27.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	166	6	172

Merged error: 0.0b

Counts

172 → 6

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
0.1b	(/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
2.2b	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
26.4b	(/.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac_binary64`
248×	`add-sqr-sqrt_binary64`
246×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
69×	`associate-/r/_binary64`
35×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
34×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
21×	`associate-/r_binary64` `associate-/l_binary64`
19×	`div-exp_binary64`
10×	`cbrt-undiv_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `1-exp_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 363

Calls

4 calls:

18.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
16.0ms	(/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
25.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
55.0ms	(/.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a))
25.0ms	(/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))
43.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
177.0ms	(/.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))

simplify163.0ms

Algorithm

egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	22297
1	4977	22297

prune1.1s

Filtered

241 candidates to 375 candidates (-55.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	375	0	375
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	375	6	381

Merged error: 0.0b

Counts

381 → 6

regimes896.0ms

Accuracy

97.3% (0.7b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 27.0b

bsearch64.0ms

Steps

Iters	Range		Point
9	5.562023015448672e+28	7.72312990416633e+36	2.908464530270399e+32
9	-1.1171586568941818e+35	-8.669506640459273e+26	-6.132788843306378e+34

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	61
1	78	61

end0.0ms

sample1.1s

Algorithm

intervals

Results

704.0ms	8000×	body	80	valid
74.0ms	882×	body	80	invalid

Details

analyze1.9s

sample41.0ms

simplify97.0ms

prune9.0ms

localize23.0ms

rewrite72.0ms

series245.0ms

simplify65.0ms

prune222.0ms

localize25.0ms

rewrite92.0ms

series370.0ms

simplify85.0ms

prune238.0ms

localize24.0ms

rewrite86.0ms

series237.0ms

simplify83.0ms

prune367.0ms

localize44.0ms

rewrite134.0ms

series268.0ms

simplify163.0ms

prune1.1s

regimes896.0ms

bsearch64.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling