Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	12.5%	87.5%	2
0%	6.3%	93.7%	3
0%	3.1%	96.9%	4
0%	1.6%	98.4%	5
0%	0.8%	99.2%	6
0%	0.4%	99.6%	7
0%	0.2%	99.8%	8
0.1%	0.1%	99.8%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

sample74.0ms

Algorithm

intervals

Results

59.0ms	256×	body	80	valid
3.0ms	265×	pre	80	true
2.0ms	9×	body	80	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5216	49

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 2.9b

Counts

2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.1b	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 5)
1.4b	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)
2.6b	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
10×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64`
4×	`add-cbrt-cube_binary64` `pow-exp_binary64`
3×	`sqrt-prod_binary64`
2×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow1/2_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

4 → 79

Calls

4 calls:

1.0ms	(sqrt.f64 PI.f64)
5.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 5)
5.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)
2.0ms	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

series52.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(sqrt.f64 PI.f64)
21.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 5)
21.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)
10.0ms	(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))

simplify36.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5430	802

prune214.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	78	13	91

Merged error: 1.0b

Counts

91 → 13

localize32.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.1b	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 5)
1.1b	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
1.4b	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
10×	`add-exp-log_binary64`
9×	`pow-unpow_binary64`
8×	`pow1_binary64`
6×	`pow-pow_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64` `sqrt-prod_binary64` `exp-prod_binary64`
2×	`div-inv_binary64` `div-exp_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 89

Calls

4 calls:

2.0ms	(sqrt.f64 PI.f64)
5.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 5)
4.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
5.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)

series70.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(sqrt.f64 PI.f64)
18.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 5)
28.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
24.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5007	843

prune218.0ms

Filtered

65 candidates to 99 candidates (-52.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	94	18	112

Merged error: 0.6b

Counts

112 → 18

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.1b	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
1.3b	(pow.f64 (pow.f64 (/.f64 1.0 (fabs.f64 x)) (*.f64 (cbrt.f64 5) (cbrt.f64 5))) (cbrt.f64 5))
1.4b	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

46×	`unpow-prod-down_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
12×	`pow-unpow_binary64`
11×	`add-exp-log_binary64`
9×	`pow-exp_binary64`
7×	`pow1_binary64`
6×	`pow-pow_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64`
3×	`sqrt-prod_binary64` `cbrt-prod_binary64` `exp-prod_binary64`
2×	`div-inv_binary64` `div-exp_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 98

Calls

4 calls:

2.0ms	(sqrt.f64 PI.f64)
4.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
7.0ms	(pow.f64 (pow.f64 (/.f64 1.0 (fabs.f64 x)) (*.f64 (cbrt.f64 5) (cbrt.f64 5))) (cbrt.f64 5))
5.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)

series128.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(sqrt.f64 PI.f64)
27.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
79.0ms	(pow.f64 (pow.f64 (/.f64 1.0 (fabs.f64 x)) (*.f64 (cbrt.f64 5) (cbrt.f64 5))) (cbrt.f64 5))
22.0ms	(pow.f64 (/.f64 1.0 (fabs.f64 x)) 7)

simplify76.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4938	1279
1	4938	1279

prune298.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	109	17	126

Merged error: 0.6b

Counts

126 → 17

localize44.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 5)
1.0b	(sqrt.f64 PI.f64)
1.1b	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
1.3b	(pow.f64 (pow.f64 (/.f64 1.0 (fabs.f64 x)) (*.f64 (cbrt.f64 5) (cbrt.f64 5))) (cbrt.f64 5))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

33×	`unpow-prod-down_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow-unpow_binary64` `times-frac_binary64`
8×	`add-exp-log_binary64`
7×	`pow-exp_binary64`
6×	`pow1_binary64` `cbrt-prod_binary64`
5×	`pow-pow_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64` `sqrt-prod_binary64` `exp-prod_binary64`
1×	`pow1/2_binary64` `pow1/3_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt.f64 5)
2.0ms	(sqrt.f64 PI.f64)
4.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
7.0ms	(pow.f64 (pow.f64 (/.f64 1.0 (fabs.f64 x)) (*.f64 (cbrt.f64 5) (cbrt.f64 5))) (cbrt.f64 5))

series107.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt.f64 5)
0.0ms	(sqrt.f64 PI.f64)
27.0ms	(pow.f64 (exp.f64 (fabs.f64 x)) (fabs.f64 x))
79.0ms	(pow.f64 (pow.f64 (/.f64 1.0 (fabs.f64 x)) (*.f64 (cbrt.f64 5) (cbrt.f64 5))) (cbrt.f64 5))

simplify84.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4939	1000
1	4939	1000

prune191.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	5	11	16
Picked	0	1	1
Done	0	0	0
Total	90	16	106

Merged error: 0.6b

Counts

106 → 16

regimes182.0ms

Accuracy

0% (0.7b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	56
1	43	56

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.7s	8000×	body	80	valid
101.0ms	8135×	pre	80	true
28.0ms	135×	body	80	invalid

Details

analyze8.0ms

sample74.0ms

simplify22.0ms

prune12.0ms

localize29.0ms

rewrite15.0ms

series52.0ms

simplify36.0ms

prune214.0ms

localize32.0ms

rewrite18.0ms

series70.0ms

simplify45.0ms

prune218.0ms

localize45.0ms

rewrite21.0ms

series128.0ms

simplify76.0ms

prune298.0ms

localize44.0ms

rewrite16.0ms

series107.0ms

simplify84.0ms

prune191.0ms

regimes182.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling