Details

analyze540.0ms

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
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample22.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify207.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (204.0ms)

Iter	Nodes	Cost
0	5403	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: 2.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
2.0b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

9.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
13.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

series36.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
26.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5649	1183

prune56.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
0.5b	(cbrt.f64 (-.f64 x y))
7.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) 1) (*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64` `prod-exp_binary64`
18×	`cbrt-unprod_binary64`
17×	`div-exp_binary64`
15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
9×	`pow1_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`cbrt-div_binary64` `1-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `associate-*r/_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`
1×	`associate-r_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
22.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) 1) (*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (-.f64 x y))
25.0ms	(cbrt.f64 (-.f64 x y))
25.0ms	(cbrt.f64 (-.f64 x y))
21.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) 1) (*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))))

simplify70.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4937	945
1	4937	945

prune42.0ms

Filtered

67 candidates to 102 candidates (-52.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
9.4b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

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

series25.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x y) t)
17.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5860	469

prune25.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	56	5	61

Merged error: 0b

Counts

61 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
0.0b	(/.f64 1 (-.f64 z y))
9.5b	(.f64 (.f64 (-.f64 x y) t) (/.f64 1 (-.f64 z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64`
31×	`add-exp-log_binary64`
30×	`times-frac_binary64`
24×	`associate-r_binary64` `add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
11×	`pow1_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

3 → 113

Calls

3 calls:

7.0ms	(*.f64 (-.f64 x y) t)
6.0ms	(/.f64 1 (-.f64 z y))
16.0ms	(.f64 (.f64 (-.f64 x y) t) (/.f64 1 (-.f64 z y)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 (-.f64 x y) t)
5.0ms	(/.f64 1 (-.f64 z y))
18.0ms	(.f64 (.f64 (-.f64 x y) t) (/.f64 1 (-.f64 z y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5947	1027

prune38.0ms

Filtered

69 candidates to 122 candidates (-76.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes284.0ms

Accuracy

16.9% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.2b

bsearch30.0ms

Steps

Iters	Range		Point
6	4.621185218730217e-130	2.2807457362329916e-129	1.89196712684249e-129
9	-4.4087793670071676e-184	-6.0482184306349825e-192	-1.030146493336082e-190

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	38
1	39	38

end0.0ms

sample490.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
18.0ms	599×	body	80	invalid

Details

analyze540.0ms

sample22.0ms

simplify207.0ms

prune3.0ms

localize6.0ms

rewrite27.0ms

series36.0ms

simplify54.0ms

prune56.0ms

localize12.0ms

rewrite37.0ms

series97.0ms

simplify70.0ms

prune42.0ms

localize7.0ms

rewrite20.0ms

series25.0ms

simplify41.0ms

prune25.0ms

localize10.0ms

rewrite33.0ms

series30.0ms

simplify44.0ms

prune38.0ms

regimes284.0ms

bsearch30.0ms

simplify2.0ms

end0.0ms

sample490.0ms

Profiling