Details

analyze241.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	285	7
1	285	7

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: 4.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.6b	(.f64 x (-.f64 1.0 (.f64 y z)))

rewrite6.0ms

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 1.0 (*.f64 y z)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(*.f64 x (-.f64 1.0 (*.f64 y z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4953	214
1	4953	214

prune49.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	9	26

Merged error: 4.7b

Counts

26 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.8b	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (.f64 y z)))))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

12.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (.f64 y z)))))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4959	1014
1	4959	1014

prune114.0ms

Filtered

67 candidates to 78 candidates (-16.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	79	8	87

Merged error: 4.7b

Counts

87 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
48.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4997	820
1	4997	820

prune122.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	63	9	72

Merged error: 4.7b

Counts

72 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
5.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
48.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4997	820
1	4997	820

prune127.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 4.7b

Counts

73 → 9

regimes374.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample380.0ms

Algorithm

intervals

Results

196.0ms	8000×	body	80	valid
16.0ms	580×	body	80	invalid

Details

analyze241.0ms

sample15.0ms

simplify15.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series12.0ms

simplify43.0ms

prune49.0ms

localize8.0ms

rewrite23.0ms

series173.0ms

simplify53.0ms

prune114.0ms

localize14.0ms

rewrite12.0ms

series186.0ms

simplify46.0ms

prune122.0ms

localize19.0ms

rewrite15.0ms

series186.0ms

simplify45.0ms

prune127.0ms

regimes374.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample380.0ms

Profiling