Details

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample45.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
1.0ms	10×	body	80	invalid

simplify169.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune11.0ms

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: 32.3b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
31.5b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
29.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

series232.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y)
10.0ms	(.f64 (+.f64 (.f64 x y) z) y)
18.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
177.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4943	2307
1	4943	2307

prune218.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Merged error: 31.2b

Counts

104 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
0.6b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
30.9b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64` `add-exp-log_binary64`
20×	`times-frac_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`flip3-+_binary64` `prod-exp_binary64` `flip-+_binary64` `associate-*l/_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64`
1×	`associate-*r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

4 → 115

Calls

4 calls:

8.0ms	(.f64 (+.f64 (.f64 x y) z) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
15.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
37.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (+.f64 (.f64 x y) z) y)
18.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 27464.7644705) y)
28.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
178.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5353	2861

prune215.0ms

Filtered

87 candidates to 127 candidates (-46.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	127	12	139

Merged error: 31.2b

Counts

139 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
16.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
16.2b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
31.5b	(/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`cbrt-div_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64` `cbrt-prod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 64

Calls

4 calls:

12.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
12.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
12.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
35.0ms	(/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

series299.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
49.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
47.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))
155.0ms	(/.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 27464.7644705)) 230661.510616)))) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify50.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5010	2281

prune176.0ms

Filtered

70 candidates to 76 candidates (-8.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	76	12	88

Merged error: 31.2b

Counts

88 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 x y) z))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705))
0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t)))
31.6b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
64×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
15×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
9×	`pow1_binary64`
8×	`flip3-+_binary64` `div-exp_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`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 159

Calls

4 calls:

7.0ms	(.f64 y (+.f64 (.f64 x y) z))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705))
27.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t)))
28.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t))

series477.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 y (+.f64 (.f64 x y) z))
12.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705))
180.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t)))
277.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 27464.7644705)) 230661.510616)) t))

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4957	6447
1	4957	6447

prune173.0ms

Filtered

121 candidates to 171 candidates (-41.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	171	12	183

Merged error: 31.2b

Counts

183 → 12

regimes1.1s

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

684.0ms	8000×	body	80	valid
19.0ms	232×	body	80	invalid

Details

analyze1.9s

sample45.0ms

simplify169.0ms

prune11.0ms

localize21.0ms

rewrite66.0ms

series232.0ms

simplify57.0ms

prune218.0ms

localize23.0ms

rewrite75.0ms

series234.0ms

simplify58.0ms

prune215.0ms

localize27.0ms

rewrite73.0ms

series299.0ms

simplify50.0ms

prune176.0ms

localize27.0ms

rewrite79.0ms

series477.0ms

simplify70.0ms

prune173.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling