Details

analyze5.0ms

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
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	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	10	6
1	10	6

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: 27.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 2.0 (.f64 x x))
27.1b	(sqrt.f64 (.f64 2.0 (.f64 x x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `sqrt-pow1_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64`
1×	`pow1/2_binary64` `associate-r_binary64` `unswap-sqr_binary64` `sqrt-prod_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

11.0ms	(.f64 2.0 (.f64 x x))
6.0ms	(sqrt.f64 (.f64 2.0 (.f64 x x)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(.f64 2.0 (.f64 x x))
12.0ms	(sqrt.f64 (.f64 2.0 (.f64 x x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4914	207
1	4914	207

prune39.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.2b

Counts

38 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2.0) (fabs.f64 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

9.0ms

(*.f64 (sqrt.f64 2.0) (fabs.f64 x))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (sqrt.f64 2.0) (fabs.f64 x))

simplify50.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	163
1	4989	163

prune28.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`associate-l_binary64` `sqrt-prod_binary64`
3×	`unswap-sqr_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 48

Calls

2 calls:

9.0ms	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0)))
11.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0))))

series30.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0)))
5.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5016	368

prune49.0ms

Filtered

31 candidates to 54 candidates (-74.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	53	7	60

Merged error: 0b

Counts

60 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0)))))

0.3b

(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))

0.4b

(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1_binary64` `add-exp-log_binary64`
33×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
24×	`add-cbrt-cube_binary64`
15×	`cbrt-prod_binary64`
14×	`associate-r_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`associate-l_binary64`
3×	`add-log-exp_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

3 → 83

Calls

3 calls:

22.0ms

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0)))))

15.0ms

(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))

10.0ms

(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0)))))

series60.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0)))))

23.0ms

(*.f64 (*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))))

31.0ms

(*.f64 (fabs.f64 x) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2.0)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4878	653
1	4878	653

prune67.0ms

Filtered

45 candidates to 92 candidates (-104.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	92	7	99

Merged error: 0b

Counts

99 → 7

regimes139.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14

end0.0ms

sample269.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid

Details

analyze5.0ms

sample11.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite19.0ms

series17.0ms

simplify49.0ms

prune39.0ms

localize4.0ms

rewrite10.0ms

series8.0ms

simplify50.0ms

prune28.0ms

localize7.0ms

rewrite22.0ms

series30.0ms

simplify64.0ms

prune49.0ms

localize10.0ms

rewrite52.0ms

series60.0ms

simplify68.0ms

prune67.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample269.0ms

Profiling