Details

analyze128.0ms

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%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample23.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5147	43

prune3.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-*r/_binary64`
3×	`pow-unpow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-l_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 81

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series179.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
39.0ms	(.f64 (.f64 a a) (-.f64 1 a))
31.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
27.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5220	1735

prune113.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b	(.f64 (.f64 a a) (-.f64 1 a))
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
1.6b	(.f64 (.f64 b b) (*.f64 a a))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1_binary64`
32×	`associate-*r/_binary64`
26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64` `frac-add_binary64`
14×	`flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
13×	`add-log-exp_binary64`
11×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sum-log_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `associate-+r+_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

17.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

series166.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
33.0ms	(.f64 (.f64 a a) (-.f64 1 a))
26.0ms	(.f64 (.f64 b b) (+.f64 3 a))
29.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify115.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4966	4573
1	4966	4573

prune194.0ms

Filtered

76 candidates to 119 candidates (-56.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	119	4	123

Merged error: 0b

Counts

123 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (+.f64 3 a))
10.0b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
10.0b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
10.0b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 63

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (.f64 b b) (+.f64 3 a))
172.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
171.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
174.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))

simplify98.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5155	3105

prune252.0ms

Filtered

64 candidates to 75 candidates (-17.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

79 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
26.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64`
14×	`add-cbrt-cube_binary64`
10×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-unpow_binary64`
2×	`sub-neg_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 82

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

series289.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (.f64 a a) (-.f64 1 a))
188.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
24.0ms	(.f64 (.f64 b b) (+.f64 3 a))
34.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

simplify66.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	1342
1	4969	1342

prune86.0ms

Filtered

60 candidates to 94 candidates (-56.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	55
1	56	55

end0.0ms

sample661.0ms

Algorithm

intervals

Results

524.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze128.0ms

sample23.0ms

simplify46.0ms

prune3.0ms

localize18.0ms

rewrite33.0ms

series179.0ms

simplify51.0ms

prune113.0ms

localize20.0ms

rewrite49.0ms

series166.0ms

simplify115.0ms

prune194.0ms

localize21.0ms

rewrite32.0ms

series543.0ms

simplify98.0ms

prune252.0ms

localize19.0ms

rewrite30.0ms

series289.0ms

simplify66.0ms

prune86.0ms

regimes61.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample661.0ms

Profiling