Details

analyze636.0ms

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

sample25.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
2.0ms	51×	body	80	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	733	9
1	733	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: 5.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
6.9b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite22.0ms

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:

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z x))
12.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
13.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5612	574

prune42.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
6.9b	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
11.0ms	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))

series33.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z x))
12.0ms	(+.f64 x (.f64 (.f64 y (-.f64 z x)) (/.f64 1 t)))
13.0ms	(.f64 (.f64 y (-.f64 z x)) (/.f64 1 t))

simplify39.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5417	745

prune41.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:

6.0ms	(/.f64 t (-.f64 z x))
20.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
9.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 t (-.f64 z x))
11.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
14.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5039	2025

prune63.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	161	6	167

Merged error: 0b

Counts

167 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
7.1b	(*.f64 (/.f64 y t) (-.f64 z x))

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
14.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4990	583
1	4990	583

prune20.0ms

Filtered

42 candidates to 59 candidates (-40.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Merged error: 0b

Counts

65 → 6

regimes274.0ms

Accuracy

-4.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch34.0ms

Steps

Iters	Range		Point
9	9.119720106558719e-22	5.285943598716085e-13	5.738594216140986e-14
9	-8.137115007405262e-304	7.908792977849974e-305	2.2492153083265635e-306

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	37
1	36	37

end0.0ms

sample572.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
64.0ms	2105×	body	80	invalid

Details

analyze636.0ms

sample25.0ms

simplify45.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series34.0ms

simplify43.0ms

prune42.0ms

localize8.0ms

rewrite27.0ms

series33.0ms

simplify39.0ms

prune41.0ms

localize7.0ms

rewrite45.0ms

series33.0ms

simplify50.0ms

prune63.0ms

localize9.0ms

rewrite16.0ms

series26.0ms

simplify35.0ms

prune20.0ms

regimes274.0ms

bsearch34.0ms

simplify2.0ms

end0.0ms

sample572.0ms

Profiling