Details

analyze284.0ms

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%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
6.0ms	(.f64 z (.f64 z 3))

series124.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
37.0ms	(.f64 z (.f64 z 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5099	419

prune24.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
6.0ms	(.f64 (.f64 z z) 3)

series127.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
40.0ms	(.f64 (.f64 z z) 3)

simplify68.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4935	435
1	4935	435

prune24.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.3b

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1_binary64`
33×	`add-exp-log_binary64`
27×	`pow-prod-down_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
20×	`add-cbrt-cube_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`cbrt-prod_binary64`
2×	`associate-l_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 70

Calls

3 calls:

5.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

12.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

19.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

series331.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

83.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

101.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4958	884
1	4958	884

prune48.0ms

Filtered

41 candidates to 79 candidates (-92.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))) (cbrt.f64 (cbrt.f64 3))))
0.2b	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3)))))
0.2b	(.f64 (.f64 z z) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))
0.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))) (cbrt.f64 (cbrt.f64 3)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log_binary64`
102×	`prod-exp_binary64`
41×	`add-cbrt-cube_binary64`
40×	`cbrt-unprod_binary64`
34×	`pow1_binary64`
17×	`pow-prod-down_binary64`
13×	`associate-l_binary64`
12×	`cbrt-prod_binary64`
11×	`associate-r_binary64`
10×	`pow-to-exp_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `pow-exp_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64` `pow2_binary64`
3×	`*-commutative_binary64`
2×	`pow-sqr_binary64`
1×	`flip3-+_binary64` `unpow2_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 122

Calls

4 calls:

6.0ms	(+.f64 (.f64 x y) (.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))) (cbrt.f64 (cbrt.f64 3))))
21.0ms	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3)))))
14.0ms	(.f64 (.f64 z z) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))
25.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))) (cbrt.f64 (cbrt.f64 3)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(+.f64 (.f64 x y) (.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))) (cbrt.f64 (cbrt.f64 3))))
268.0ms	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3)))))
238.0ms	(.f64 (.f64 z z) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))
98.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 z z) (*.f64 (cbrt.f64 (cbrt.f64 3)) (cbrt.f64 (cbrt.f64 3))))) (cbrt.f64 (cbrt.f64 3)))

simplify68.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	2174
1	4984	2174

prune96.0ms

Filtered

67 candidates to 134 candidates (-100.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	134	5	139

Merged error: 0b

Counts

139 → 5

regimes76.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample416.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	128	valid
12.0ms	449×	body	128	invalid

Details

analyze284.0ms

sample15.0ms

simplify9.0ms

prune4.0ms

localize6.0ms

rewrite12.0ms

series124.0ms

simplify48.0ms

prune24.0ms

localize9.0ms

rewrite13.0ms

series127.0ms

simplify68.0ms

prune24.0ms

localize9.0ms

rewrite43.0ms

series331.0ms

simplify82.0ms

prune48.0ms

localize15.0ms

rewrite86.0ms

series758.0ms

simplify68.0ms

prune96.0ms

regimes76.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample416.0ms

Profiling