Details

analyze881.0ms

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%	74.5%	1.5%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	84×	body	80	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

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: 5.8b

Counts

2 → 1

localize7.0ms

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

rewrite21.0ms

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

series37.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z t))
16.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
13.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5000	603

prune76.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
5.1b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite28.0ms

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 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 a)
15.0ms	(cbrt.f64 a)
17.0ms	(cbrt.f64 a)
20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify74.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4970	1068
1	4970	1068

prune107.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5011	583

prune56.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize7.0ms

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))))
6.7b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite44.0ms

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

series40.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 a (-.f64 z t))
16.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
16.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4999	2110
1	4999	2110

prune116.0ms

Filtered

120 candidates to 163 candidates (-35.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	1	2
Picked	0	1	1
Done	1	2	3
Total	164	5	169

Merged error: 0b

Counts

169 → 5

regimes743.0ms

Accuracy

86% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	261	43
1	261	43

end0.0ms

sample695.0ms

Algorithm

intervals

Results

271.0ms	8000×	body	80	valid
82.0ms	2516×	body	80	invalid

Details

analyze881.0ms

sample26.0ms

simplify48.0ms

prune4.0ms

localize7.0ms

rewrite21.0ms

series37.0ms

simplify43.0ms

prune76.0ms

localize11.0ms

rewrite28.0ms

series68.0ms

simplify74.0ms

prune107.0ms

localize7.0ms

rewrite16.0ms

series33.0ms

simplify38.0ms

prune56.0ms

localize7.0ms

rewrite44.0ms

series40.0ms

simplify55.0ms

prune116.0ms

regimes743.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample695.0ms

Profiling