Details

analyze80.0ms

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%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample22.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5035	17

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `associate-r_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

5.0ms	(+.f64 (.f64 a a) (.f64 b b))
6.0ms	(.f64 4 (.f64 b b))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 a a) (.f64 b b))
3.0ms	(.f64 4 (.f64 b b))
17.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify62.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4951	751
1	4951	751

prune50.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
2.6b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
15×	`add-log-exp_binary64`
7×	`sum-log_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `unswap-sqr_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
6.0ms	(.f64 4 (.f64 b b))
14.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
5.0ms	(.f64 4 (.f64 b b))
16.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	1037
1	4977	1037

prune54.0ms

Filtered

47 candidates to 84 candidates (-78.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
20.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
20.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
20.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod_binary64`
52×	`add-sqr-sqrt_binary64`
31×	`unpow-prod-down_binary64`
25×	`unswap-sqr_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
17×	`unpow2_binary64` `sqr-pow_binary64`
11×	`pow1_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

series101.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
24.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
24.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
26.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

simplify60.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4933	2260
1	4933	2260

prune83.0ms

Filtered

82 candidates to 136 candidates (-65.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Merged error: 0b

Counts

138 → 2

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	25
1	34	25

end0.0ms

sample502.0ms

Algorithm

intervals

Results

370.0ms	8000×	body	80	valid
0.0ms	7×	body	80	invalid

Details

analyze80.0ms

sample22.0ms

simplify33.0ms

prune4.0ms

localize9.0ms

rewrite28.0ms

series36.0ms

simplify62.0ms

prune50.0ms

localize15.0ms

rewrite41.0ms

series41.0ms

simplify60.0ms

prune54.0ms

localize14.0ms

rewrite41.0ms

series101.0ms

simplify60.0ms

prune83.0ms

regimes86.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample502.0ms

Profiling