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
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

sample37.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
5.0ms	124×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
3.0b	(.f64 (.f64 a z) b)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 y z))
12.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
5.0ms	(.f64 (.f64 a z) b)

series56.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 x (*.f64 y z))
27.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
16.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
7.0ms	(.f64 (.f64 a z) b)

simplify24.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5328	695

prune64.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
0.0b	(+.f64 t (*.f64 z b))
1.8b	(.f64 a (+.f64 t (.f64 z b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sum-log_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `+-commutative_binary64` `associate-+r+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 60

Calls

4 calls:

5.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
3.0ms	(+.f64 t (*.f64 z b))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
28.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
7.0ms	(+.f64 t (*.f64 z b))
14.0ms	(.f64 a (+.f64 t (.f64 z b)))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5132	807

prune81.0ms

Filtered

56 candidates to 72 candidates (-28.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(.f64 a (+.f64 t (.f64 z b)))
4.9b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.9b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.9b	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

6.0ms	(.f64 a (+.f64 t (.f64 z b)))
4.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
4.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
5.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

series119.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 a (+.f64 t (.f64 z b)))
33.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
33.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))
35.0ms	(cbrt.f64 (.f64 a (+.f64 t (.f64 z b))))

simplify47.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4984	639
1	4984	639

prune81.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	66	7	73

Merged error: 0.0b

Counts

73 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
0.5b	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
3.0b	(.f64 (.f64 a z) b)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
16×	`cbrt-div_binary64` `pow1_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64`
9×	`associate-r_binary64` `add-cbrt-cube_binary64`
8×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-l_binary64`
6×	`swap-sqr_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 92

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
8.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
15.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
5.0ms	(.f64 (.f64 a z) b)

series178.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
50.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
73.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
7.0ms	(.f64 (.f64 a z) b)

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	1669
1	4972	1669

prune81.0ms

Filtered

76 candidates to 104 candidates (-36.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

regimes631.0ms

Accuracy

62.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch39.0ms

Steps

Iters	Range		Point
7	5.303646000381689e-199	2.3291104836231456e-197	2.0145442111765542e-197
7	-1.1741613974996931e+91	-1.183963938305719e+89	-1.2003286486640105e+89

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	37
1	39	37

end0.0ms

sample952.0ms

Algorithm

intervals

Results

380.0ms	8000×	body	80	valid
174.0ms	3743×	body	80	invalid

Details

analyze1.3s

sample37.0ms

simplify6.0ms

prune14.0ms

localize11.0ms

rewrite27.0ms

series56.0ms

simplify24.0ms

prune64.0ms

localize12.0ms

rewrite21.0ms

series65.0ms

simplify52.0ms

prune81.0ms

localize15.0ms

rewrite21.0ms

series119.0ms

simplify47.0ms

prune81.0ms

localize16.0ms

rewrite37.0ms

series178.0ms

simplify53.0ms

prune81.0ms

regimes631.0ms

bsearch39.0ms

simplify2.0ms

end0.0ms

sample952.0ms

Profiling