Details

analyze1.7s

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

sample58.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
11.0ms	205×	body	80	invalid

simplify398.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (395.0ms)

Iter	Nodes	Cost
0	2661	19
1	2661	19

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: 6.4b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 a (*.f64 b c))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
8.1b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/_binary64`
11×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-sub_binary64`
2×	`diff-log_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 68

Calls

4 calls:

3.0ms	(+.f64 a (*.f64 b c))
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

series412.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 a (*.f64 b c))
364.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
13.0ms	(.f64 (+.f64 a (.f64 b c)) c)
23.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

simplify27.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5100	1169

prune96.0ms

Filtered

61 candidates to 80 candidates (-31.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	11	81

Merged error: 1.0b

Counts

81 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 a (*.f64 b c))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
4.8b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-*l/_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
2×	`diff-log_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

series416.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 a (*.f64 b c))
380.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
19.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

simplify28.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5322	1119

prune86.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	69	13	82

Merged error: 1.0b

Counts

82 → 13

localize22.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.5b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.5b	(cbrt.f64 (+.f64 a (*.f64 b c)))
8.1b	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
40×	`associate-*l/_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`frac-times_binary64`
26×	`associate-*r/_binary64`
22×	`pow1_binary64` `add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `pow1/3_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
21.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

series107.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
31.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
20.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 c (cbrt.f64 (+.f64 a (*.f64 b c))))) i)

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5108	1559

prune98.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	104	13	117

Merged error: 1.0b

Counts

117 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 i)
0.6b	(cbrt.f64 i)
2.3b	(.f64 (.f64 (.f64 c (+.f64 a (.f64 b c))) (*.f64 (cbrt.f64 i) (cbrt.f64 i))) (cbrt.f64 i))
6.0b	(.f64 (.f64 c (+.f64 a (.f64 b c))) (.f64 (cbrt.f64 i) (cbrt.f64 i)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1_binary64` `add-exp-log_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `associate-l_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt.f64 i)
1.0ms	(cbrt.f64 i)
18.0ms	(.f64 (.f64 (.f64 c (+.f64 a (.f64 b c))) (*.f64 (cbrt.f64 i) (cbrt.f64 i))) (cbrt.f64 i))
12.0ms	(.f64 (.f64 c (+.f64 a (.f64 b c))) (.f64 (cbrt.f64 i) (cbrt.f64 i)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 i)
18.0ms	(cbrt.f64 i)
21.0ms	(.f64 (.f64 (.f64 c (+.f64 a (.f64 b c))) (*.f64 (cbrt.f64 i) (cbrt.f64 i))) (cbrt.f64 i))
59.0ms	(.f64 (.f64 c (+.f64 a (.f64 b c))) (.f64 (cbrt.f64 i) (cbrt.f64 i)))

simplify44.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5187	797

prune41.0ms

Filtered

58 candidates to 90 candidates (-55.2%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	90	13	103

Merged error: 1.0b

Counts

103 → 13

regimes1.9s

Accuracy

0% (1.0b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	19
1	94	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

493.0ms	8000×	body	80	valid
454.0ms	7316×	body	80	invalid

Details

analyze1.7s

sample58.0ms

simplify398.0ms

prune9.0ms

localize14.0ms

rewrite28.0ms

series412.0ms

simplify27.0ms

prune96.0ms

localize16.0ms

rewrite26.0ms

series416.0ms

simplify28.0ms

prune86.0ms

localize22.0ms

rewrite35.0ms

series107.0ms

simplify59.0ms

prune98.0ms

localize18.0ms

rewrite35.0ms

series112.0ms

simplify44.0ms

prune41.0ms

regimes1.9s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling