Details

analyze654.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	85×	body	128	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

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: 9.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
9.3b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series259.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(*.f64 (-.f64 y x) z)
86.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
112.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5146	824

prune45.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0b

Counts

67 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.4b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

6.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series185.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
104.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5350	832

prune27.0ms

Filtered

36 candidates to 55 candidates (-52.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	55	6	61

Merged error: 0b

Counts

61 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.5b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

21.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
10.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series188.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
112.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify69.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5004	2589

prune66.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
0.0b	(*.f64 (-.f64 y x) z)
9.4b	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64` `prod-exp_binary64`
9×	`times-frac_binary64`
8×	`associate-*l/_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`cbrt-undiv_binary64` `rec-exp_binary64` `div-exp_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 73

Calls

3 calls:

4.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
7.0ms	(*.f64 (-.f64 y x) z)
12.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

series285.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) z) (/.f64 1 t)))
66.0ms	(*.f64 (-.f64 y x) z)
107.0ms	(.f64 (.f64 (-.f64 y x) z) (/.f64 1 t))

simplify104.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	6027	1057

prune59.0ms

Filtered

50 candidates to 82 candidates (-64.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes147.0ms

Accuracy

43.7% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	75
1	37	75

end0.0ms

sample789.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	128	valid
88.0ms	2093×	body	128	invalid

Details

analyze654.0ms

sample20.0ms

simplify54.0ms

prune1.0ms

localize7.0ms

rewrite24.0ms

series259.0ms

simplify65.0ms

prune45.0ms

localize7.0ms

rewrite21.0ms

series185.0ms

simplify62.0ms

prune27.0ms

localize7.0ms

rewrite46.0ms

series188.0ms

simplify69.0ms

prune66.0ms

localize8.0ms

rewrite29.0ms

series285.0ms

simplify104.0ms

prune59.0ms

regimes147.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample789.0ms

Profiling