Details

analyze2.4s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

sample58.0ms

Algorithm

intervals

Results

31.0ms	254×	body	80	valid
2.0ms	3×	body	1280	invalid
2.0ms	4×	body	640	invalid
2.0ms	15×	body	80	invalid
2.0ms	5×	body	320	invalid
1.0ms	1×	body	2560	invalid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	invalid
0.0ms	1×	body	160	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	28
1	4986	28

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.8b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)
0.0b	(*.f64 K (+.f64 m n))
33.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64`
9×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64` `exp-prod_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `cos-diff_binary64` `exp-sum_binary64` `prod-exp_binary64` `cos-sum_binary64` `times-frac_binary64` `flip-+_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

20.0ms	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)))
12.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)
6.0ms	(*.f64 K (+.f64 m n))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

series147.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)))
51.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)
8.0ms	(*.f64 K (+.f64 m n))
25.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5459	958

prune106.0ms

Filtered

59 candidates to 82 candidates (-39.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 0.4b

Counts

83 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l))

0.0b

(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)))

0.0b

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-log-exp_binary64`
6×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `exp-prod_binary64`
5×	`distribute-lft-out--_binary64`
4×	`pow1_binary64` `diff-log_binary64` `add-exp-log_binary64` `difference-of-squares_binary64`
3×	`pow-unpow_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
2×	`sub-neg_binary64` `distribute-lft-out_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `associate--r+_binary64` `flip3--_binary64` `pow-pow_binary64` `sqr-pow_binary64` `exp-diff_binary64` `exp-sum_binary64` `times-frac_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

3 → 54

Calls

3 calls:

15.0ms

(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l))

17.0ms

(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)))

10.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)

series165.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms

(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l))

63.0ms

(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0) l)))

50.0ms

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2.0) M) 2.0)

simplify37.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4988	1046
1	4988	1046

prune80.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Merged error: 0.4b

Counts

67 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)))
33.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
33.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
33.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `cos-diff_binary64` `cos-sum_binary64` `cbrt-prod_binary64`
1×	`pow1/3_binary64`

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)))
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

series152.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M)))
25.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
26.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))
25.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2.0) M))

simplify61.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	619
1	4970	619

prune92.0ms

Filtered

44 candidates to 50 candidates (-13.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Merged error: 0.4b

Counts

54 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n))))
8.1b	(sqrt.f64 (*.f64 K (+.f64 m n)))
8.1b	(sqrt.f64 (*.f64 K (+.f64 m n)))
15.6b	(cos.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n)))) 2.0) M))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
22×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-sqr-sqrt_binary64`
8×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`associate-*l/_binary64`
1×	`sub-neg_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `cos-diff_binary64` `prod-exp_binary64` `cos-sum_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n))))
5.0ms	(sqrt.f64 (*.f64 K (+.f64 m n)))
5.0ms	(sqrt.f64 (*.f64 K (+.f64 m n)))
16.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n)))) 2.0) M))

series68.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n))))
17.0ms	(sqrt.f64 (*.f64 K (+.f64 m n)))
18.0ms	(sqrt.f64 (*.f64 K (+.f64 m n)))
25.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n)))) 2.0) M))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4964	863
1	4964	863

prune90.0ms

Filtered

61 candidates to 104 candidates (-70.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	104	4	108

Merged error: 0.4b

Counts

108 → 4

regimes344.0ms

Accuracy

0% (0.3b remaining)

Error of 1.5b against oracle of 1.2b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	17
1	61	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

827.0ms	7817×	body	80	valid
55.0ms	89×	body	1280	invalid
34.0ms	81×	body	640	invalid
32.0ms	74×	body	640	valid
31.0ms	43×	body	1280	valid
30.0ms	297×	body	80	invalid
20.0ms	64×	body	320	invalid
13.0ms	43×	body	320	valid
7.0ms	33×	body	160	invalid
5.0ms	23×	body	160	valid
3.0ms	3×	body	2560	invalid

Details

analyze2.4s

sample58.0ms

simplify53.0ms

prune11.0ms

localize22.0ms

rewrite50.0ms

series147.0ms

simplify40.0ms

prune106.0ms

localize16.0ms

rewrite44.0ms

series165.0ms

simplify37.0ms

prune80.0ms

localize27.0ms

rewrite30.0ms

series152.0ms

simplify61.0ms

prune92.0ms

localize23.0ms

rewrite45.0ms

series68.0ms

simplify47.0ms

prune90.0ms

regimes344.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling