Details

analyze259.0ms

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
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4947	12
1	4947	12

prune7.0ms

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 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
19×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate--r+_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series49.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
9.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
11.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
14.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5013	1055

prune68.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-out_binary64` `pow1/3_binary64`
1×	`associate-r_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

9.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
16.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series164.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
85.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
14.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4954	820
1	4954	820

prune73.0ms

Filtered

72 candidates to 83 candidates (-15.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (*.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))
0.4b	(*.f64 2/3 (log.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`add-log-exp_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

8.0ms	(+.f64 (*.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))
5.0ms	(*.f64 2/3 (log.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (*.f64 2/3 (log.f64 y)) (log.f64 (cbrt.f64 (sqrt.f64 y))))
8.0ms	(*.f64 2/3 (log.f64 y))
11.0ms	(cbrt.f64 (sqrt.f64 y))
11.0ms	(cbrt.f64 (sqrt.f64 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4901	702
1	4901	702

prune65.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0b

Counts

97 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 y (-.f64 x (.f64 (+.f64 y 1/2) (log.f64 y))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))))
0.5b	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))
0.5b	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))
0.5b	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 95

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (+.f64 y (-.f64 x (.f64 (+.f64 y 1/2) (log.f64 y))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))))
5.0ms	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))
5.0ms	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))
5.0ms	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

853.0ms	(.f64 (cbrt.f64 (+.f64 y (-.f64 x (.f64 (+.f64 y 1/2) (log.f64 y))))) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))))
76.0ms	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))
75.0ms	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))
77.0ms	(cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4958	3610
1	4958	3610

prune165.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	12
1	63	12

end0.0ms

sample528.0ms

Algorithm

intervals

Results

353.0ms	7998×	body	80	valid
2.0ms	47×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze259.0ms

sample21.0ms

simplify142.0ms

prune7.0ms

localize9.0ms

rewrite29.0ms

series49.0ms

simplify62.0ms

prune68.0ms

localize14.0ms

rewrite31.0ms

series164.0ms

simplify48.0ms

prune73.0ms

localize22.0ms

rewrite19.0ms

series59.0ms

simplify60.0ms

prune65.0ms

localize15.0ms

rewrite31.0ms

series1.1s

simplify82.0ms

prune165.0ms

regimes204.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample528.0ms

Profiling