Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	129×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune4.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`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`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

series34.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 (.f64 x y) (.f64 z t))
22.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

simplify48.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5019	369

prune39.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite26.0ms

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:

11.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
40.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
40.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5180	1430

prune101.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.1b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
38.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5288	824

prune83.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
0.0b	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.0b	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64` `sum-log_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

7.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
6.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
17.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
156.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
160.0ms	(sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
26.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (sqrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4967	1999
1	4967	1999

prune72.0ms

Filtered

68 candidates to 112 candidates (-64.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

regimes919.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms

sample843.0ms

Algorithm

intervals

Results

308.0ms	8000×	body	80	valid
137.0ms	3862×	body	80	invalid

Details

analyze1.2s

sample31.0ms

simplify10.0ms

prune4.0ms

localize8.0ms

rewrite12.0ms

series34.0ms

simplify48.0ms

prune39.0ms

localize12.0ms

rewrite26.0ms

series173.0ms

simplify44.0ms

prune101.0ms

localize16.0ms

rewrite19.0ms

series157.0ms

simplify52.0ms

prune83.0ms

localize11.0ms

rewrite39.0ms

series366.0ms

simplify55.0ms

prune72.0ms

regimes919.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample843.0ms

Profiling