Details

analyze655.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune3.0ms

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: 1.5b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

6.4b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite23.0ms

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:

21.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5052	578

prune39.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	35	8	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	9	44

Merged error: 0.0b

Counts

44 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
10.9b	(cbrt.f64 (/.f64 x y))
10.9b	(cbrt.f64 (/.f64 x y))
10.9b	(cbrt.f64 (/.f64 x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-div_binary64` `cbrt-prod_binary64`
29×	`frac-times_binary64`
27×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-*l/_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`associate-*r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 x y))))
54.0ms	(cbrt.f64 (/.f64 x y))
80.0ms	(cbrt.f64 (/.f64 x y))
58.0ms	(cbrt.f64 (/.f64 x y))

simplify95.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4989	1982
1	4989	1982

prune79.0ms

Filtered

84 candidates to 123 candidates (-46.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
2.0b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (-.f64 z t))
10.9b	(cbrt.f64 (/.f64 x y))
10.9b	(cbrt.f64 (/.f64 x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod_binary64`
50×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
37×	`add-cube-cbrt_binary64` `times-frac_binary64`
35×	`unpow-prod-down_binary64`
21×	`associate-l_binary64`
10×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `sub-neg_binary64` `associate-*r/_binary64` `pow-pow_binary64` `pow-exp_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
14.0ms	(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (-.f64 z t))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow.f64 (cbrt.f64 (/.f64 x y)) 2)
217.0ms	(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (-.f64 z t))
55.0ms	(cbrt.f64 (/.f64 x y))
57.0ms	(cbrt.f64 (/.f64 x y))

simplify118.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4933	1977
1	4933	1977

prune108.0ms

Filtered

104 candidates to 136 candidates (-30.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	135	10	145

Merged error: 0b

Counts

145 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
2.0b	(*.f64 (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) 2) (-.f64 z t))
10.9b	(cbrt.f64 (/.f64 x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64`
59×	`cbrt-prod_binary64`
49×	`times-frac_binary64`
45×	`associate-l_binary64` `unpow-prod-down_binary64`
42×	`*-un-lft-identity_binary64`
40×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64`
8×	`unswap-sqr_binary64`
6×	`add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`sub-neg_binary64` `unpow2_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
22.0ms	(*.f64 (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) 2) (-.f64 z t))
2.0ms	(cbrt.f64 (/.f64 x y))

series449.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 x)
220.0ms	(*.f64 (pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) 2) (-.f64 z t))
59.0ms	(cbrt.f64 (/.f64 x y))

simplify82.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5029	2136

prune117.0ms

Filtered

114 candidates to 131 candidates (-14.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	131	10	141

Merged error: 0b

Counts

141 → 10

regimes117.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	33
1	33	33

end0.0ms

sample561.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
65.0ms	2203×	body	80	invalid

Details

analyze655.0ms

sample19.0ms

simplify62.0ms

prune3.0ms

localize11.0ms

rewrite23.0ms

series74.0ms

simplify66.0ms

prune39.0ms

localize10.0ms

rewrite29.0ms

series255.0ms

simplify95.0ms

prune79.0ms

localize11.0ms

rewrite28.0ms

series402.0ms

simplify118.0ms

prune108.0ms

localize15.0ms

rewrite32.0ms

series449.0ms

simplify82.0ms

prune117.0ms

regimes117.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample561.0ms

Profiling