Details

analyze127.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample25.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5054	29

prune5.0ms

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1.0 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
0.7b	(.f64 (.f64 b b) (+.f64 3.0 a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-unpow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
9.0ms	(.f64 (.f64 a a) (-.f64 1.0 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
8.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))

series76.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
8.0ms	(.f64 (.f64 a a) (-.f64 1.0 a))
30.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))

simplify29.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5438	1191

prune103.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 b b) (+.f64 3.0 a))
8.4b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
8.4b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
8.4b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 63

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
58.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
59.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
61.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))

simplify60.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4912	2141
1	4912	2141

prune191.0ms

Filtered

64 candidates to 75 candidates (-17.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Merged error: 0b

Counts

79 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))
0.0b	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
1.4b	(.f64 (.f64 b b) (*.f64 a a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1_binary64`
33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`pow-prod-down_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`-un-lft-identity_binary64` `pow-prod-up_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
2×	`associate-r_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 67

Calls

3 calls:

6.0ms	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))
15.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

series31.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))
10.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify34.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5466	665

prune54.0ms

Filtered

39 candidates to 76 candidates (-94.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1.0 a))
0.7b	(.f64 (.f64 b b) (+.f64 3.0 a))
1.4b	(.f64 (.f64 b b) (*.f64 a a))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow-prod-up_binary64` `frac-add_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
3×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `pow-sqr_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 104

Calls

4 calls:

14.0ms	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a))))
11.0ms	(.f64 (.f64 a a) (-.f64 1.0 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

series38.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a))))
7.0ms	(.f64 (.f64 a a) (-.f64 1.0 a))
7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
8.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify46.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5031	1258

prune111.0ms

Filtered

72 candidates to 116 candidates (-61.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	116	4	120

Merged error: 0b

Counts

120 → 4

regimes198.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

end0.0ms

sample626.0ms

Algorithm

intervals

Results

493.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze127.0ms

sample25.0ms

simplify84.0ms

prune5.0ms

localize15.0ms

rewrite34.0ms

series76.0ms

simplify29.0ms

prune103.0ms

localize22.0ms

rewrite33.0ms

series185.0ms

simplify60.0ms

prune191.0ms

localize12.0ms

rewrite34.0ms

series31.0ms

simplify34.0ms

prune54.0ms

localize17.0ms

rewrite45.0ms

series38.0ms

simplify46.0ms

prune111.0ms

regimes198.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample626.0ms

Profiling