Details

analyze634.0ms

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
25.9%	73.3%	0.8%	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	73×	body	128	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

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: 7.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
8.0b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite25.0ms

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-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_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` `distribute-lft-in_binary64` `distribute-rgt-in_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 → 59

Calls

3 calls:

6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
8.0ms	(*.f64 y (-.f64 z x))
8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

series255.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
64.0ms	(*.f64 y (-.f64 z x))
115.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5135	849

prune47.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
3.4b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
34×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
24.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

series714.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt.f64 t)
151.0ms	(cbrt.f64 t)
172.0ms	(cbrt.f64 t)
241.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4944	1665
1	4944	1665

prune84.0ms

Filtered

89 candidates to 116 candidates (-30.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
4.7b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
11.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

series215.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
141.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify49.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5062	850

prune38.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
7.7b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

24.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
6.0ms	(/.f64 t (-.f64 z x))
11.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
64.0ms	(/.f64 t (-.f64 z x))
136.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5031	3116

prune85.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	160	5	165

Merged error: 0.0b

Counts

165 → 5

regimes48.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms

sample569.0ms

Algorithm

intervals

Results

247.0ms	8000×	body	128	valid
64.0ms	2105×	body	128	invalid

Details

analyze634.0ms

sample20.0ms

simplify53.0ms

prune1.0ms

localize7.0ms

rewrite25.0ms

series255.0ms

simplify52.0ms

prune47.0ms

localize11.0ms

rewrite40.0ms

series714.0ms

simplify90.0ms

prune84.0ms

localize8.0ms

rewrite20.0ms

series215.0ms

simplify49.0ms

prune38.0ms

localize7.0ms

rewrite57.0ms

series277.0ms

simplify73.0ms

prune85.0ms

regimes48.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample569.0ms

Profiling