Details

analyze817.0ms

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 2.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.5b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

15.0ms

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

series126.0ms

Counts

1 → 3

Calls

1 calls:

126.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5059	578

prune37.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

4.4b	(*.f64 (/.f64 x y) z)
4.5b	(*.f64 (/.f64 x y) (neg.f64 t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64`

Counts

2 → 72

Calls

2 calls:

7.0ms	(*.f64 (/.f64 x y) z)
9.0ms	(*.f64 (/.f64 x y) (neg.f64 t))

series96.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(*.f64 (/.f64 x y) z)
52.0ms	(*.f64 (/.f64 x y) (neg.f64 t))

simplify71.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4899	819
1	4899	819

prune46.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 z t))
4.7b	(/.f64 (*.f64 x (-.f64 z t)) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_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` `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`

Counts

2 → 47

Calls

2 calls:

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

series190.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(*.f64 x (-.f64 z t))
115.0ms	(/.f64 (*.f64 x (-.f64 z t)) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4982	566
1	4982	566

prune26.0ms

Filtered

34 candidates to 53 candidates (-55.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Merged error: 0b

Counts

57 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (-.f64 z t))
0.6b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 z t))))
4.7b	(/.f64 y (*.f64 x (-.f64 z t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`div-exp_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`associate-r_binary64`
4×	`prod-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`sub-neg_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 108

Calls

3 calls:

7.0ms	(*.f64 x (-.f64 z t))
10.0ms	(/.f64 1 (/.f64 y (*.f64 x (-.f64 z t))))
9.0ms	(/.f64 y (*.f64 x (-.f64 z t)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(*.f64 x (-.f64 z t))
132.0ms	(/.f64 1 (/.f64 y (*.f64 x (-.f64 z t))))
100.0ms	(/.f64 y (*.f64 x (-.f64 z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5992	1657

prune57.0ms

Filtered

72 candidates to 117 candidates (-62.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Merged error: 0b

Counts

122 → 5

regimes84.0ms

Accuracy

-14.9% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.8b

bsearch25.0ms

Steps

Iters	Range		Point
7	2.4658678940989727e+35	5.389998763185933e+37	3.528241785312015e+35
5	-2.3659085466412327e+150	-7.614154704497506e+149	-7.715468660463849e+149

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	57
1	66	57

end0.0ms

sample590.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	128	valid
64.0ms	2139×	body	128	invalid

Details

analyze817.0ms

sample20.0ms

simplify55.0ms

prune2.0ms

localize7.0ms

rewrite18.0ms

series126.0ms

simplify54.0ms

prune37.0ms

localize9.0ms

rewrite23.0ms

series96.0ms

simplify71.0ms

prune46.0ms

localize7.0ms

rewrite18.0ms

series190.0ms

simplify60.0ms

prune26.0ms

localize8.0ms

rewrite35.0ms

series298.0ms

simplify81.0ms

prune57.0ms

regimes84.0ms

bsearch25.0ms

simplify3.0ms

end0.0ms

sample590.0ms

Profiling