Details

analyze928.0ms

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	11

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: 1.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.4b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
12.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4994	1366
1	4994	1366

prune87.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0b

Counts

123 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))

series103.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 z t))
25.0ms	(cbrt.f64 (-.f64 z a))
25.0ms	(cbrt.f64 (-.f64 z a))
25.0ms	(cbrt.f64 (-.f64 z a))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5307	592

prune60.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 0b

Counts

81 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.2b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
2.4b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64`
336×	`add-sqr-sqrt_binary64`
324×	`*-un-lft-identity_binary64`
158×	`add-cube-cbrt_binary64`
98×	`associate-r_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 338

Calls

4 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
13.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
32.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
20.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
25.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

simplify70.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5121	4569

prune134.0ms

Filtered

203 candidates to 350 candidates (-72.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	349	1	350
Fresh	3	3	6
Picked	0	1	1
Done	2	0	2
Total	354	5	359

Merged error: 0b

Counts

359 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
0.0b	(/.f64 y (-.f64 z a))
10.1b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 98

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
197.0ms	(/.f64 y (-.f64 z a))
13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

series62.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
8.0ms	(/.f64 y (-.f64 z a))
24.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5122	1103

prune43.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes337.0ms

Accuracy

59.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch30.0ms

Steps

Iters	Range		Point
7	3.2053522233263304e-28	5.0389320473757436e-26	2.5959847217515504e-27
7	-41341406826733.25	-1695659563090.1687	-28393617975727.465

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	33
1	46	33

end0.0ms

sample579.0ms

Algorithm

intervals

Results

289.0ms	7999×	body	80	valid
25.0ms	742×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze928.0ms

sample22.0ms

simplify118.0ms

prune3.0ms

localize8.0ms

rewrite35.0ms

series56.0ms

simplify43.0ms

prune87.0ms

localize17.0ms

rewrite15.0ms

series103.0ms

simplify41.0ms

prune60.0ms

localize9.0ms

rewrite79.0ms

series83.0ms

simplify70.0ms

prune134.0ms

localize8.0ms

rewrite218.0ms

series62.0ms

simplify46.0ms

prune43.0ms

regimes337.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample579.0ms

Profiling