Details

analyze1.5s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample41.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
8.0ms	158×	body	80	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

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: 0.0b

Counts

2 → 1

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series374.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
268.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
39.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify79.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4964	1004
1	4964	1004

prune32.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))) (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))

rewrite43.0ms

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:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))) (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
7.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
7.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))

series813.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))) (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b)))))
173.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
190.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
185.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))

simplify102.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4908	3842
1	4908	3842

prune112.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))

rewrite31.0ms

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×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
8.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
7.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
8.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))

series667.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
166.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
169.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
169.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))

simplify99.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4943	2180
1	4943	2180

prune106.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.7b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))) 4)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

7.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
8.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
8.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
11.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))) 4)

series976.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
172.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
166.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))
471.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b))))) 4)

simplify69.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5035	2473

prune109.0ms

Filtered

66 candidates to 75 candidates (-13.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	75	4	79

Merged error: 0b

Counts

79 → 4

regimes224.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

414.0ms	8000×	body	80	valid
304.0ms	5619×	body	80	invalid

Details

analyze1.5s

sample41.0ms

simplify13.0ms

prune2.0ms

localize18.0ms

rewrite22.0ms

series374.0ms

simplify79.0ms

prune32.0ms

localize20.0ms

rewrite43.0ms

series813.0ms

simplify102.0ms

prune112.0ms

localize30.0ms

rewrite31.0ms

series667.0ms

simplify99.0ms

prune106.0ms

localize26.0ms

rewrite35.0ms

series976.0ms

simplify69.0ms

prune109.0ms

regimes224.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling