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

sample49.0ms

Algorithm

intervals

Results

13.0ms	182×	body	128	invalid
12.0ms	256×	body	128	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

prune2.0ms

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 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

series618.0ms

Counts

3 → 9

Calls

3 calls:

418.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
70.0ms	(+.f64 (.f64 x y) (.f64 z t))
130.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

simplify46.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5016	1004

prune41.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
0.8b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.8b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.8b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series1.5s

Counts

4 → 12

Calls

4 calls:

586.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
300.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
308.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
311.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5231	3217

prune111.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))) 6)
0.8b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.8b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
29.9b	(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))) 6) 1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
7×	`add-exp-log_binary64`
6×	`pow-unpow_binary64`
5×	`pow1_binary64` `pow-exp_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64`
2×	`flip3-+_binary64` `flip-+_binary64`
1×	`unpow1/3_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))) 6)
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
11.0ms	(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))) 6) 1/3)

series3.0s

Counts

4 → 12

Calls

4 calls:

1.0s	(pow.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))) 6)
301.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
295.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
1.4s	(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))) 6) 1/3)

simplify67.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5018	2102

prune80.0ms

Filtered

57 candidates to 86 candidates (-50.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
0.3b	(pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3)
36.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `associate-+r+_binary64` `pow-exp_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
8.0ms	(pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3)
8.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3))

series4.7s

Counts

4 → 12

Calls

4 calls:

72.0ms	(+.f64 (.f64 x y) (.f64 z t))
141.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
4.4s	(pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3)
135.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4981	1924
1	4981	1924

prune55.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

regimes262.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

390.0ms	8000×	body	128	valid
287.0ms	5670×	body	128	invalid

Details

analyze1.7s

sample49.0ms

simplify9.0ms

prune2.0ms

localize12.0ms

rewrite24.0ms

series618.0ms

simplify46.0ms

prune41.0ms

localize17.0ms

rewrite50.0ms

series1.5s

simplify61.0ms

prune111.0ms

localize24.0ms

rewrite41.0ms

series3.0s

simplify67.0ms

prune80.0ms

localize15.0ms

rewrite34.0ms

series4.7s

simplify40.0ms

prune55.0ms

regimes262.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling