Details

analyze63.0ms

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%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

128

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4887	308
1	4887	308

prune27.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.1b	(.f64 x (neg.f64 (.f64 x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-r_binary64` `add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
5.0ms	(.f64 x (neg.f64 (.f64 x y)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
34.0ms	(.f64 x (neg.f64 (.f64 x y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4891	463
1	4891	463

prune32.0ms

Filtered

28 candidates to 40 candidates (-42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

321.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
308.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
300.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
292.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4956	2041
1	4956	2041

prune120.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
5.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
7.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

series1.6s

Counts

4 → 12

Calls

4 calls:

456.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1 (*.f64 x y)))))
401.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
392.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))
383.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 x y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5009	1932

prune106.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

regimes50.0ms

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	44	10
1	44	10

end0.0ms

sample311.0ms

Algorithm

intervals

Results

182.0ms	8000×	body	128	valid
2.0ms	76×	body	128	invalid

Details

analyze63.0ms

sample12.0ms

simplify17.0ms

prune2.0ms

localize9.0ms

rewrite8.0ms

series71.0ms

simplify66.0ms

prune27.0ms

localize6.0ms

rewrite10.0ms

series86.0ms

simplify78.0ms

prune32.0ms

localize9.0ms

rewrite28.0ms

series1.2s

simplify75.0ms

prune120.0ms

localize9.0ms

rewrite32.0ms

series1.6s

simplify60.0ms

prune106.0ms

regimes50.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample311.0ms

Profiling