Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))
0.1b	(*.f64 (/.f64 841.0 108.0) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-r_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))
7.0ms	(*.f64 (/.f64 841.0 108.0) x)

series7.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))
3.0ms	(*.f64 (/.f64 841.0 108.0) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4950	401
1	4950	401

prune61.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841.0 (/.f64 x 108.0)) (/.f64 4.0 29.0))
0.3b	(*.f64 841.0 (/.f64 x 108.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+.f64 (*.f64 841.0 (/.f64 x 108.0)) (/.f64 4.0 29.0))
7.0ms	(*.f64 841.0 (/.f64 x 108.0))

series7.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (*.f64 841.0 (/.f64 x 108.0)) (/.f64 4.0 29.0))
3.0ms	(*.f64 841.0 (/.f64 x 108.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	407
1	4983	407

prune50.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

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: 0b

Counts

54 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (sqrt.f64 (/.f64 841.0 108.0)) (*.f64 x (sqrt.f64 (/.f64 841.0 108.0)))) (/.f64 4.0 29.0))

0.2b

(*.f64 x (sqrt.f64 (/.f64 841.0 108.0)))

0.3b

(*.f64 (sqrt.f64 (/.f64 841.0 108.0)) (*.f64 x (sqrt.f64 (/.f64 841.0 108.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod_binary64`
27×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`associate-l_binary64` `times-frac_binary64`
17×	`associate-r_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`sqrt-div_binary64`
7×	`associate-*r/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`frac-add_binary64` `unswap-sqr_binary64`
2×	`div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 82

Calls

3 calls:

13.0ms

(+.f64 (*.f64 (sqrt.f64 (/.f64 841.0 108.0)) (*.f64 x (sqrt.f64 (/.f64 841.0 108.0)))) (/.f64 4.0 29.0))

8.0ms

(*.f64 x (sqrt.f64 (/.f64 841.0 108.0)))

13.0ms

(*.f64 (sqrt.f64 (/.f64 841.0 108.0)) (*.f64 x (sqrt.f64 (/.f64 841.0 108.0))))

series25.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms

(+.f64 (*.f64 (sqrt.f64 (/.f64 841.0 108.0)) (*.f64 x (sqrt.f64 (/.f64 841.0 108.0)))) (/.f64 4.0 29.0))

5.0ms

(*.f64 x (sqrt.f64 (/.f64 841.0 108.0)))

9.0ms

(*.f64 (sqrt.f64 (/.f64 841.0 108.0)) (*.f64 x (sqrt.f64 (/.f64 841.0 108.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4943	791
1	4943	791

prune95.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0b

Counts

95 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0)))
0.1b	(*.f64 (/.f64 841.0 108.0) x)
0.1b	(*.f64 (/.f64 841.0 108.0) x)
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))) (sqrt.f64 (+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
32×	`associate-l_binary64`
29×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`sqrt-div_binary64`
24×	`pow1_binary64`
21×	`sqrt-prod_binary64`
20×	`times-frac_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`associate-*l/_binary64`
12×	`associate-r_binary64`
9×	`flip3-+_binary64` `pow1/2_binary64` `frac-add_binary64` `sqrt-pow1_binary64` `flip-+_binary64` `frac-times_binary64`
8×	`swap-sqr_binary64` `unswap-sqr_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `pow-sqr_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 144

Calls

4 calls:

8.0ms	(sqrt.f64 (+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0)))
8.0ms	(*.f64 (/.f64 841.0 108.0) x)
7.0ms	(*.f64 (/.f64 841.0 108.0) x)
21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))) (sqrt.f64 (+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))))

series15.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0)))
2.0ms	(*.f64 (/.f64 841.0 108.0) x)
3.0ms	(*.f64 (/.f64 841.0 108.0) x)
5.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))) (sqrt.f64 (+.f64 (*.f64 (/.f64 841.0 108.0) x) (/.f64 4.0 29.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4958	1859
1	4958	1859

prune160.0ms

Filtered

98 candidates to 156 candidates (-59.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	156	4	160

Merged error: 0b

Counts

160 → 4

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample287.0ms

Algorithm

intervals

Results

204.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series7.0ms

simplify60.0ms

prune61.0ms

localize6.0ms

rewrite15.0ms

series7.0ms

simplify56.0ms

prune50.0ms

localize8.0ms

rewrite37.0ms

series25.0ms

simplify65.0ms

prune95.0ms

localize8.0ms

rewrite49.0ms

series15.0ms

simplify64.0ms

prune160.0ms

regimes85.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample287.0ms

Profiling