Details

analyze188.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid
0.0ms	3×	body	80	nan

simplify383.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (374.0ms)

Iter	Nodes	Cost
0	4890	18
1	4890	18

prune2.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
13.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
57.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
58.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4990	1039
1	4990	1039

prune58.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.0b	(*.f64 y (-.f64 1 z))
0.2b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
7.0ms	(*.f64 y (-.f64 1 z))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
5.0ms	(*.f64 y (log.f64 z))

series166.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
24.0ms	(*.f64 y (-.f64 1 z))
64.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
32.0ms	(*.f64 y (log.f64 z))

simplify77.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4975	1274
1	4975	1274

prune73.0ms

Filtered

65 candidates to 95 candidates (-46.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
0.2b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`associate-r_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

4 → 64

Calls

4 calls:

10.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
4.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series411.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(.f64 y (+.f64 (.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
94.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
84.0ms	(cbrt.f64 z)
91.0ms	(cbrt.f64 z)

simplify84.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4934	863
1	4934	863

prune79.0ms

Filtered

58 candidates to 76 candidates (-31.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	75	6	81

Merged error: 0b

Counts

81 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series348.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 y)
91.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 z)
86.0ms	(cbrt.f64 z)

simplify93.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4939	340
1	4939	340

prune62.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	56	6	62

Merged error: 0b

Counts

62 → 6

regimes83.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	29	21
1	29	21

end0.0ms

sample564.0ms

Algorithm

intervals

Results

368.0ms	8000×	body	80	valid
14.0ms	309×	body	80	invalid
3.0ms	88×	body	80	nan

Details

analyze188.0ms

sample20.0ms

simplify383.0ms

prune2.0ms

localize10.0ms

rewrite30.0ms

series164.0ms

simplify84.0ms

prune58.0ms

localize11.0ms

rewrite33.0ms

series166.0ms

simplify77.0ms

prune73.0ms

localize16.0ms

rewrite19.0ms

series411.0ms

simplify84.0ms

prune79.0ms

localize20.0ms

rewrite8.0ms

series348.0ms

simplify93.0ms

prune62.0ms

regimes83.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample564.0ms

Profiling