Details

analyze952.0ms

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

sample35.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	100×	body	80	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune4.0ms

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: 7.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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:

7.0ms	(*.f64 y (-.f64 z t))
6.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series44.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 y (-.f64 z t))
18.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5000	603

prune82.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
7.0b	(*.f64 (/.f64 y a) (-.f64 t z))

rewrite17.0ms

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))

series36.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
15.0ms	(*.f64 (/.f64 y a) (-.f64 t z))

simplify44.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5011	583

prune66.0ms

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	1	4	5
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 t z) (cbrt.f64 (/.f64 y a))))
11.8b	(cbrt.f64 (/.f64 y a))
11.8b	(cbrt.f64 (/.f64 y a))
11.8b	(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:

19.0ms	(.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))

series58.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(.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))
16.0ms	(cbrt.f64 (/.f64 y a))
14.0ms	(cbrt.f64 (/.f64 y a))

simplify77.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4960	1316
1	4960	1316

prune105.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
5.8b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite48.0ms

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:

6.0ms	(/.f64 a (-.f64 z t))
23.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
10.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4999	2110
1	4999	2110

prune117.0ms

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

regimes621.0ms

Accuracy

64.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch35.0ms

Steps

Iters	Range		Point
6	3.9972575185695933e-50	3.4593623846156246e-49	3.3982650377411287e-49
7	-1.953947551674596e+91	-1.6803694585333988e+89	-1.714581116590726e+89

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	213	37
1	213	37

end0.0ms

sample732.0ms

Algorithm

intervals

Results

282.0ms	8000×	body	80	valid
92.0ms	2603×	body	80	invalid

Details

analyze952.0ms

sample35.0ms

simplify46.0ms

prune4.0ms

localize8.0ms

rewrite24.0ms

series44.0ms

simplify47.0ms

prune82.0ms

localize8.0ms

rewrite17.0ms

series36.0ms

simplify44.0ms

prune66.0ms

localize12.0ms

rewrite32.0ms

series58.0ms

simplify77.0ms

prune105.0ms

localize8.0ms

rewrite48.0ms

series45.0ms

simplify59.0ms

prune117.0ms

regimes621.0ms

bsearch35.0ms

simplify5.0ms

end0.0ms

sample732.0ms

Profiling