Details

analyze1.3s

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
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample27.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	47	17
1	47	17

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 14.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
3.5b	(/.f64 (*.f64 y z) t)
4.6b	(/.f64 (*.f64 y b) t)
10.3b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
22×	`distribute-lft-out_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `prod-exp_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 101

Calls

4 calls:

6.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)
5.0ms	(/.f64 (*.f64 y b) t)
15.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)
5.0ms	(/.f64 (*.f64 y b) t)
46.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5002	1588

prune123.0ms

Filtered

72 candidates to 113 candidates (-56.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Merged error: 9.8b

Counts

114 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
3.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
3.5b	(/.f64 (*.f64 y z) t)
10.3b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
33×	`times-frac_binary64`
28×	`add-sqr-sqrt_binary64`
26×	`add-cbrt-cube_binary64`
24×	`add-cube-cbrt_binary64`
21×	`distribute-lft-out_binary64`
14×	`associate-/r*_binary64`
11×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64` `associate-/l*_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `div-inv_binary64`
3×	`flip3-+_binary64` `associate-/l/_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
2×	`frac-add_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

11.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
9.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
5.0ms	(/.f64 (*.f64 y z) t)
16.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
35.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
5.0ms	(/.f64 (*.f64 y z) t)
50.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (*.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

simplify38.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5335	1927

prune110.0ms

Filtered

91 candidates to 140 candidates (-53.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	140	12	152

Merged error: 9.3b

Counts

152 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
3.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
3.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
10.3b	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
53×	`times-frac_binary64`
50×	`add-exp-log_binary64`
36×	`add-cube-cbrt_binary64`
35×	`add-cbrt-cube_binary64`
25×	`associate-r_binary64`
17×	`cbrt-prod_binary64`
16×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
14×	`associate-l_binary64`
12×	`distribute-lft-out_binary64`
11×	`associate-/r*_binary64`
8×	`pow1_binary64` `unswap-sqr_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `frac-times_binary64`

Counts

4 → 160

Calls

4 calls:

11.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
18.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
9.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
14.0ms	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
12.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
35.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
80.0ms	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

simplify56.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4966	2259
1	4966	2259

prune137.0ms

Filtered

126 candidates to 172 candidates (-36.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	167	5	172
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	170	14	184

Merged error: 9.1b

Counts

184 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (neg.f64 x) (*.f64 (/.f64 z t) y))
3.4b	(*.f64 (/.f64 y t) b)
5.5b	(*.f64 (/.f64 z t) y)
10.3b	(/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 z t) y)) (-.f64 (-.f64 -1 a) (.f64 (/.f64 y t) b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
28×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
26×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64`
6×	`associate-r_binary64`
4×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`associate-/r_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `diff-log_binary64` `frac-sub_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `associate--l-_binary64` `neg-sub0_binary64` `div-sub_binary64` `clear-num_binary64` `neg-log_binary64` `frac-2neg_binary64`

Counts

4 → 111

Calls

4 calls:

5.0ms	(-.f64 (neg.f64 x) (*.f64 (/.f64 z t) y))
8.0ms	(*.f64 (/.f64 y t) b)
7.0ms	(*.f64 (/.f64 z t) y)
13.0ms	(/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 z t) y)) (-.f64 (-.f64 -1 a) (.f64 (/.f64 y t) b)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(-.f64 (neg.f64 x) (*.f64 (/.f64 z t) y))
6.0ms	(*.f64 (/.f64 y t) b)
6.0ms	(*.f64 (/.f64 z t) y)
37.0ms	(/.f64 (-.f64 (neg.f64 x) (.f64 (/.f64 z t) y)) (-.f64 (-.f64 -1 a) (.f64 (/.f64 y t) b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5171	1515

prune60.0ms

Filtered

90 candidates to 123 candidates (-36.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	123	14	137

Merged error: 9.1b

Counts

137 → 14

regimes942.0ms

Accuracy

43.4% (3.3b remaining)

Error of 13.1b against oracle of 9.9b and baseline of 15.7b

bsearch39.0ms

Steps

Iters	Range		Point
8	1.4745294091607388e-188	3.244371867765194e-185	9.932568223181805e-186
8	-1.1218238241435997e+62	-3.9418202795329815e+59	-3.9737095273355427e+59

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	46
1	129	46

end0.0ms

sample729.0ms

Algorithm

intervals

Results

426.0ms	8000×	body	80	valid
15.0ms	295×	body	80	invalid

Details

analyze1.3s

sample27.0ms

simplify6.0ms

prune4.0ms

localize13.0ms

rewrite34.0ms

series66.0ms

simplify45.0ms

prune123.0ms

localize16.0ms

rewrite45.0ms

series103.0ms

simplify38.0ms

prune110.0ms

localize17.0ms

rewrite58.0ms

series139.0ms

simplify56.0ms

prune137.0ms

localize13.0ms

rewrite37.0ms

series60.0ms

simplify50.0ms

prune60.0ms

regimes942.0ms

bsearch39.0ms

simplify3.0ms

end0.0ms

sample729.0ms

Profiling