Details

analyze656.0ms

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
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	83×	body	128	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune1.0ms

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: 6.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.8b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`sub-neg_binary64` `add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`associate--r+_binary64` `diff-log_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

5.0ms	(-.f64 (*.f64 z z) t)
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series253.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(-.f64 (*.f64 z z) t)
119.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
104.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify60.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5026	925

prune58.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	46	11	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	11	58

Merged error: 3.0b

Counts

58 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (*.f64 y t) -4))
0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (.f64 y t) -4)))
0.0b	(.f64 (.f64 y t) -4)
9.2b	(.f64 (.f64 y 4) (*.f64 z z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64`
2×	`diff-log_binary64` `associate-l_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 65

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (*.f64 y t) -4))
14.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (.f64 y t) -4)))
5.0ms	(.f64 (.f64 y t) -4)
8.0ms	(.f64 (.f64 y 4) (*.f64 z z))

series328.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (*.f64 y t) -4))
129.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 y 4) (.f64 z z)) (.f64 (.f64 y t) -4)))
28.0ms	(.f64 (.f64 y t) -4)
52.0ms	(.f64 (.f64 y 4) (*.f64 z z))

simplify94.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4941	1152
1	4941	1152

prune48.0ms

Filtered

41 candidates to 77 candidates (-87.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (.f64 y t) -4)))
0.0b	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (*.f64 y t) -4))
0.0b	(.f64 (.f64 y t) -4)
0.2b	(.f64 (.f64 (*.f64 y 4) z) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
2×	`diff-log_binary64` `associate-l_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 64

Calls

4 calls:

11.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (.f64 y t) -4)))
11.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (*.f64 y t) -4))
5.0ms	(.f64 (.f64 y t) -4)
7.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

series310.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(-.f64 (.f64 x x) (+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (.f64 y t) -4)))
124.0ms	(+.f64 (.f64 (.f64 (.f64 y 4) z) z) (.f64 (*.f64 y t) -4))
28.0ms	(.f64 (.f64 y t) -4)
47.0ms	(.f64 (.f64 (*.f64 y 4) z) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4940	1153
1	4940	1153

prune50.0ms

Filtered

44 candidates to 76 candidates (-72.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	3	4	7
Picked	0	1	1
Done	1	0	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series640.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
157.0ms	(cbrt.f64 z)
157.0ms	(cbrt.f64 z)
162.0ms	(cbrt.f64 z)

simplify66.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune81.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

regimes310.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	115	25
1	115	25

end0.0ms

sample691.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	128	valid
111.0ms	3046×	body	128	invalid

Details

analyze656.0ms

sample23.0ms

simplify48.0ms

prune1.0ms

localize13.0ms

rewrite22.0ms

series253.0ms

simplify60.0ms

prune58.0ms

localize11.0ms

rewrite43.0ms

series328.0ms

simplify94.0ms

prune48.0ms

localize11.0ms

rewrite40.0ms

series310.0ms

simplify73.0ms

prune50.0ms

localize15.0ms

rewrite19.0ms

series640.0ms

simplify66.0ms

prune81.0ms

regimes310.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample691.0ms

Profiling