Details

analyze85.0ms

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5035	17

prune5.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64`
1×	`pow-to-exp_binary64` `associate-r_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

6.0ms	(.f64 4 (.f64 b b))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(.f64 4 (.f64 b b))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5324	356

prune40.0ms

Filtered

26 candidates to 43 candidates (-65.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
0.0b	(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
0.0b	(.f64 4 (.f64 b b))
2.1b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
11×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-l_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `unswap-sqr_binary64` `associate-+r+_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
10.0ms	(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
6.0ms	(.f64 4 (.f64 b b))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
13.0ms	(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
3.0ms	(.f64 4 (.f64 b b))
9.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5086	980

prune74.0ms

Filtered

46 candidates to 84 candidates (-82.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2))))))
1.2b	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
2.1b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
42.6b	(/.f64 (-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2)))))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 a 4))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
32×	`add-cbrt-cube_binary64`
26×	`*-un-lft-identity_binary64`
25×	`pow1_binary64`
24×	`prod-exp_binary64`
21×	`times-frac_binary64`
18×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64`
15×	`pow-prod-down_binary64`
12×	`difference-of-squares_binary64`
10×	`associate-*r/_binary64`
8×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
7×	`associate-/r*_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `flip-+_binary64`
4×	`associate--r+_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
3×	`flip3--_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `associate-r_binary64` `associate-/r/_binary64` `pow-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 130

Calls

4 calls:

6.0ms	(-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2))))))
16.0ms	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
13.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
21.0ms	(/.f64 (-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2)))))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 a 4))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2))))))
16.0ms	(.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
9.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
37.0ms	(/.f64 (-.f64 (pow.f64 b 8) (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (.f64 a a) (.f64 b (.f64 b 2)))))) (-.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 a 4))))

simplify85.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5005	4922

prune248.0ms

Filtered

89 candidates to 142 candidates (-59.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

regimes218.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	25
1	34	25

end0.0ms

sample501.0ms

Algorithm

intervals

Results

365.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze85.0ms

sample19.0ms

simplify30.0ms

prune5.0ms

localize9.0ms

rewrite16.0ms

series13.0ms

simplify42.0ms

prune40.0ms

localize15.0ms

rewrite37.0ms

series36.0ms

simplify46.0ms

prune74.0ms

localize22.0ms

rewrite62.0ms

series97.0ms

simplify85.0ms

prune248.0ms

regimes218.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample501.0ms

Profiling