Details

analyze83.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	267	7
1	267	7

prune2.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5133	213

prune20.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
14.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 1 y))
5.0ms	(cbrt.f64 (-.f64 1 y))
5.0ms	(cbrt.f64 (-.f64 1 y))
6.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5021	1139

prune84.0ms

Filtered

88 candidates to 119 candidates (-35.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

77×	`cbrt-prod_binary64`
49×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
20×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
12×	`pow1_binary64` `unpow-prod-down_binary64`
11×	`swap-sqr_binary64`
9×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-pow_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 125

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
12.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 2)
6.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
5.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))
5.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4980	1409
1	4980	1409

prune128.0ms

Filtered

94 candidates to 137 candidates (-45.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	137	5	142

Merged error: 0.0b

Counts

142 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b	(*.f64 x (-.f64 y (pow.f64 y 3)))
7.9b	(/.f64 (*.f64 x (-.f64 y (pow.f64 y 3))) (+.f64 1 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
9×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
4×	`associate-/r_binary64` `pow1_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `times-frac_binary64`
3×	`associate-l_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-rgt-out--_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `unpow-prod-down_binary64` `frac-2neg_binary64` `cube-prod_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip-+_binary64` `unpow3_binary64` `-commutative_binary64`

Counts

2 → 55

Calls

2 calls:

10.0ms	(*.f64 x (-.f64 y (pow.f64 y 3)))
12.0ms	(/.f64 (*.f64 x (-.f64 y (pow.f64 y 3))) (+.f64 1 y))

series35.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(*.f64 x (-.f64 y (pow.f64 y 3)))
20.0ms	(/.f64 (*.f64 x (-.f64 y (pow.f64 y 3))) (+.f64 1 y))

simplify54.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4957	601
1	4957	601

prune31.0ms

Filtered

42 candidates to 61 candidates (-45.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	61	5	66

Merged error: 0.0b

Counts

66 → 5

regimes83.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample300.0ms

Algorithm

intervals

Results

174.0ms	8000×	body	80	valid
4.0ms	186×	body	80	invalid

Details

analyze83.0ms

sample11.0ms

simplify15.0ms

prune2.0ms

localize7.0ms

rewrite9.0ms

series8.0ms

simplify46.0ms

prune20.0ms

localize8.0ms

rewrite29.0ms

series21.0ms

simplify43.0ms

prune84.0ms

localize12.0ms

rewrite34.0ms

series24.0ms

simplify64.0ms

prune128.0ms

localize7.0ms

rewrite24.0ms

series35.0ms

simplify54.0ms

prune31.0ms

regimes83.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample300.0ms

Profiling