Details

analyze524.0ms

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

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify205.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (202.0ms)

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: 4.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
3.8b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite26.0ms

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:

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

series42.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
31.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5649	1183

prune100.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
9.6b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

rewrite17.0ms

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x y) t)
18.0ms	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

simplify39.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5860	469

prune61.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0b

Counts

64 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
1.3b	(*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y)))
8.6b	(.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))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
68×	`add-exp-log_binary64`
59×	`cbrt-prod_binary64`
55×	`associate-r_binary64`
45×	`times-frac_binary64`
35×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
34×	`prod-exp_binary64`
21×	`cbrt-unprod_binary64`
20×	`distribute-lft-out--_binary64`
18×	`pow1_binary64` `associate-l_binary64` `difference-of-squares_binary64` `div-exp_binary64`
14×	`cbrt-div_binary64`
10×	`swap-sqr_binary64` `cbrt-undiv_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`pow1/3_binary64` `unswap-sqr_binary64`
6×	`pow-prod-down_binary64` `1-exp_binary64` `associate-*r/_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l/_binary64` `-commutative_binary64`
2×	`pow-prod-up_binary64` `associate-/r/_binary64` `div-inv_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 182

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x y))
11.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
17.0ms	(*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z 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))))

series132.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 x y))
36.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
46.0ms	(*.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z 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))))

simplify74.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4942	2057
1	4942	2057

prune138.0ms

Filtered

120 candidates to 194 candidates (-61.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	194	8	202

Merged error: 0b

Counts

202 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
11.7b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

5.0ms	(/.f64 t (-.f64 z y))
13.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 t (-.f64 z y))
18.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5250	856

prune59.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	2	4
Picked	0	1	1
Done	0	3	3
Total	89	8	97

Merged error: 0b

Counts

97 → 8

regimes573.0ms

Accuracy

57.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	49
1	43	49

end0.0ms

sample479.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
19.0ms	644×	body	80	invalid

Details

analyze524.0ms

sample18.0ms

simplify205.0ms

prune3.0ms

localize6.0ms

rewrite26.0ms

series42.0ms

simplify48.0ms

prune100.0ms

localize6.0ms

rewrite17.0ms

series26.0ms

simplify39.0ms

prune61.0ms

localize11.0ms

rewrite62.0ms

series132.0ms

simplify74.0ms

prune138.0ms

localize6.0ms

rewrite22.0ms

series26.0ms

simplify53.0ms

prune59.0ms

regimes573.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample479.0ms

Profiling