Details

analyze494.0ms

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%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	116×	body	80	nan
1.0ms	32×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

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: 18.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.5b	(/.f64 A (*.f64 V l))
14.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
6×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
18.0ms	(/.f64 A (*.f64 V l))
36.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify119.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4790	857
1	4790	857

prune69.0ms

Filtered

57 candidates to 75 candidates (-31.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	15	76

Merged error: 6.4b

Counts

76 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
4.9b	(*.f64 (/.f64 1 V) (/.f64 A l))
14.3b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
27×	`add-exp-log_binary64`
25×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
17×	`associate-r_binary64` `add-cbrt-cube_binary64`
16×	`associate-l_binary64`
10×	`pow1_binary64`
9×	`prod-exp_binary64`
8×	`div-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-*r/_binary64` `sqrt-div_binary64`
5×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
2×	`1-exp_binary64` `sqrt-pow1_binary64` `rec-exp_binary64` `div-inv_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64`

Counts

3 → 92

Calls

3 calls:

9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
13.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
6.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
17.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
54.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

simplify118.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5236	1134

prune67.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	100	16	116

Merged error: 4.4b

Counts

116 → 16

localize9.0ms

Local error

Found 4 expressions with local error:

5.5b	(/.f64 A (*.f64 V l))
5.5b	(/.f64 A (*.f64 V l))
14.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))
14.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`associate-/r*_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `sqrt-div_binary64`

Counts

4 → 78

Calls

4 calls:

5.0ms	(/.f64 A (*.f64 V l))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/.f64 A (*.f64 V l))
18.0ms	(/.f64 A (*.f64 V l))
33.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
31.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify140.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4688	904
1	4688	904

prune63.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	90	16	106

Merged error: 4.4b

Counts

106 → 16

localize8.0ms

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (*.f64 V l))
1.7b	(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
5.0b	(.f64 A (/.f64 1 (.f64 V l)))
14.3b	(sqrt.f64 (.f64 A (/.f64 1 (.f64 V l))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`pow1_binary64` `prod-exp_binary64`
11×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
8×	`div-exp_binary64`
6×	`cbrt-unprod_binary64` `associate-l_binary64` `times-frac_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `sqrt-div_binary64`
3×	`associate-/l*_binary64` `un-div-inv_binary64`
2×	`sqrt-pow1_binary64` `unswap-sqr_binary64` `div-inv_binary64` `pow-flip_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `pow1/2_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64`

Counts

4 → 94

Calls

4 calls:

5.0ms	(/.f64 1 (*.f64 V l))
9.0ms	(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
8.0ms	(.f64 A (/.f64 1 (.f64 V l)))
5.0ms	(sqrt.f64 (.f64 A (/.f64 1 (.f64 V l))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/.f64 1 (*.f64 V l))
54.0ms	(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
18.0ms	(.f64 A (/.f64 1 (.f64 V l)))
33.0ms	(sqrt.f64 (.f64 A (/.f64 1 (.f64 V l))))

simplify147.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5245	996

prune41.0ms

Filtered

60 candidates to 106 candidates (-76.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	106	16	122

Merged error: 4.4b

Counts

122 → 16

regimes361.0ms

Accuracy

39.1% (8.7b remaining)

Error of 13.1b against oracle of 4.5b and baseline of 18.7b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	108
1	45	108

end0.0ms

sample705.0ms

Algorithm

intervals

Results

292.0ms	8000×	body	80	valid
104.0ms	2920×	body	80	nan
30.0ms	852×	body	80	invalid

Details

analyze494.0ms

sample29.0ms

simplify13.0ms

prune1.0ms

localize7.0ms

rewrite18.0ms

series102.0ms

simplify119.0ms

prune69.0ms

localize8.0ms

rewrite32.0ms

series125.0ms

simplify118.0ms

prune67.0ms

localize9.0ms

rewrite19.0ms

series100.0ms

simplify140.0ms

prune63.0ms

localize8.0ms

rewrite29.0ms

series116.0ms

simplify147.0ms

prune41.0ms

regimes361.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample705.0ms

Profiling