Details

analyze725.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	248×	body	80	valid
2.0ms	54×	body	80	invalid
1.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 y z) z)
0.0b	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
0.0b	(+.f64 (+.f64 (+.f64 y z) z) y)
0.0b	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(+.f64 (+.f64 y z) z)
17.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
10.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
17.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (+.f64 y z) z)
13.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t))
6.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
17.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 (+.f64 y z) z) y) t)) (.f64 y 5))

simplify40.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4776	772
1	4776	772

prune96.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 y z) z)
0.0b	(*.f64 x (+.f64 (+.f64 (+.f64 y z) z) y))
0.0b	(+.f64 (+.f64 (+.f64 y z) z) y)
0.0b	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 y z) z) y)) (+.f64 (.f64 y 5) (*.f64 x t)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
23×	`add-log-exp_binary64`
15×	`distribute-lft-out_binary64`
12×	`sum-log_binary64`
8×	`flip3-+_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
6×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`frac-add_binary64` `associate-+l+_binary64`
3×	`associate-l_binary64` `+-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

9.0ms	(+.f64 (+.f64 y z) z)
13.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 y z) z) y))
10.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
17.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 y z) z) y)) (+.f64 (.f64 y 5) (*.f64 x t)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (+.f64 y z) z)
11.0ms	(*.f64 x (+.f64 (+.f64 (+.f64 y z) z) y))
6.0ms	(+.f64 (+.f64 (+.f64 y z) z) y)
17.0ms	(+.f64 (.f64 x (+.f64 (+.f64 (+.f64 y z) z) y)) (+.f64 (.f64 y 5) (*.f64 x t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4964	1044
1	4964	1044

prune93.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	88	7	95

Merged error: 0.0b

Counts

95 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (+.f64 y z) 2)) (cbrt.f64 (*.f64 (+.f64 y z) 2)))
0.5b	(cbrt.f64 (*.f64 (+.f64 y z) 2))
0.5b	(cbrt.f64 (*.f64 (+.f64 y z) 2))
0.5b	(cbrt.f64 (*.f64 (+.f64 y z) 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 y z) 2)) (cbrt.f64 (*.f64 (+.f64 y z) 2)))
5.0ms	(cbrt.f64 (*.f64 (+.f64 y z) 2))
5.0ms	(cbrt.f64 (*.f64 (+.f64 y z) 2))
5.0ms	(cbrt.f64 (*.f64 (+.f64 y z) 2))

series179.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 y z) 2)) (cbrt.f64 (*.f64 (+.f64 y z) 2)))
38.0ms	(cbrt.f64 (*.f64 (+.f64 y z) 2))
38.0ms	(cbrt.f64 (*.f64 (+.f64 y z) 2))
41.0ms	(cbrt.f64 (*.f64 (+.f64 y z) 2))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4938	880
1	4938	880

prune111.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite62.0ms

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:

26.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
71.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
69.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
72.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4945	2542
1	4945	2542

prune166.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

regimes371.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	17
1	21	17

end0.0ms

sample663.0ms

Algorithm

intervals

Results

297.0ms	7720×	body	80	valid
69.0ms	1905×	body	80	invalid
14.0ms	106×	body	640	valid
14.0ms	84×	body	1280	valid
6.0ms	57×	body	320	valid
2.0ms	33×	body	160	valid

Details

analyze725.0ms

sample29.0ms

simplify12.0ms

prune9.0ms

localize10.0ms

rewrite56.0ms

series40.0ms

simplify40.0ms

prune96.0ms

localize12.0ms

rewrite51.0ms

series38.0ms

simplify66.0ms

prune93.0ms

localize14.0ms

rewrite26.0ms

series179.0ms

simplify65.0ms

prune111.0ms

localize15.0ms

rewrite62.0ms

series350.0ms

simplify84.0ms

prune166.0ms

regimes371.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample663.0ms

Profiling