Details

analyze880.0ms

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	53×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune3.0ms

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: 7.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
7.8b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_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` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `times-frac_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series38.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(*.f64 y (-.f64 z t))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5000	603

prune61.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
5.7b	(*.f64 (/.f64 y a) (-.f64 t z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_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-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_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 → 53

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
10.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
24.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

simplify57.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5011	583

prune71.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 t z) (cbrt.f64 (/.f64 y a))))
11.5b	(cbrt.f64 (/.f64 y a))
11.5b	(cbrt.f64 (/.f64 y a))
11.5b	(cbrt.f64 (/.f64 y a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-div_binary64` `cbrt-prod_binary64`
29×	`frac-times_binary64`
27×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-*l/_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`associate-*r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 t z) (cbrt.f64 (/.f64 y a))))
3.0ms	(cbrt.f64 (/.f64 y a))
3.0ms	(cbrt.f64 (/.f64 y a))
3.0ms	(cbrt.f64 (/.f64 y a))

series54.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 t z) (cbrt.f64 (/.f64 y a))))
12.0ms	(cbrt.f64 (/.f64 y a))
12.0ms	(cbrt.f64 (/.f64 y a))
12.0ms	(cbrt.f64 (/.f64 y a))

simplify65.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4960	1316
1	4960	1316

prune56.0ms

Filtered

87 candidates to 123 candidates (-41.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0b

Counts

129 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
7.8b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 154

Calls

3 calls:

21.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
6.0ms	(/.f64 a (-.f64 z t))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
8.0ms	(/.f64 a (-.f64 z t))
14.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4999	2110
1	4999	2110

prune60.0ms

Filtered

120 candidates to 163 candidates (-35.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	163	6	169

Merged error: 0b

Counts

169 → 6

regimes454.0ms

Accuracy

78.3% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	196	37
1	196	37

end0.0ms

sample659.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
88.0ms	2516×	body	80	invalid

Details

analyze880.0ms

sample24.0ms

simplify42.0ms

prune3.0ms

localize7.0ms

rewrite26.0ms

series38.0ms

simplify41.0ms

prune61.0ms

localize7.0ms

rewrite16.0ms

series54.0ms

simplify57.0ms

prune71.0ms

localize17.0ms

rewrite32.0ms

series54.0ms

simplify65.0ms

prune56.0ms

localize7.0ms

rewrite46.0ms

series39.0ms

simplify52.0ms

prune60.0ms

regimes454.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample659.0ms

Profiling