Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample8.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 1.0 3.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 1.0 3.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(+.f64 x (/.f64 1.0 3.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4905	108
1	4905	108

prune18.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (/.f64 1.0 3.0)))
0.0b	(+.f64 x (/.f64 1.0 3.0))
0.0b	(+.f64 x (/.f64 1.0 3.0))
0.1b	(*.f64 (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))) (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64`
30×	`sqrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
14×	`sqrt-div_binary64`
13×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
9×	`flip3-+_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `sqrt-pow1_binary64` `flip-+_binary64`
8×	`add-log-exp_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `+-commutative_binary64` `associate-l/_binary64` `sum-log_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 x (/.f64 1.0 3.0)))
7.0ms	(+.f64 x (/.f64 1.0 3.0))
7.0ms	(+.f64 x (/.f64 1.0 3.0))
20.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))) (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))))

series13.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 x (/.f64 1.0 3.0)))
2.0ms	(+.f64 x (/.f64 1.0 3.0))
2.0ms	(+.f64 x (/.f64 1.0 3.0))
3.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))) (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4950	998
1	4950	998

prune80.0ms

Filtered

62 candidates to 114 candidates (-83.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1.0 3.0))
0.1b	(exp.f64 (+.f64 x (/.f64 1.0 3.0)))
1.0b	(log.f64 (exp.f64 (+.f64 x (/.f64 1.0 3.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `exp-prod_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`log-pow_binary64`
4×	`pow1_binary64` `log-prod_binary64`
3×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`rem-exp-log_binary64` `exp-sum_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

3 → 43

Calls

3 calls:

6.0ms	(+.f64 x (/.f64 1.0 3.0))
7.0ms	(exp.f64 (+.f64 x (/.f64 1.0 3.0)))
7.0ms	(log.f64 (exp.f64 (+.f64 x (/.f64 1.0 3.0))))

series8.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 x (/.f64 1.0 3.0))
2.0ms	(exp.f64 (+.f64 x (/.f64 1.0 3.0)))
3.0ms	(log.f64 (exp.f64 (+.f64 x (/.f64 1.0 3.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4928	343
1	4928	343

prune40.0ms

Filtered

34 candidates to 52 candidates (-52.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Merged error: 0.0b

Counts

55 → 3

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample210.0ms

Algorithm

intervals

Results

129.0ms

8000×

body

valid

Details

analyze2.0ms

sample8.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite7.0ms

series3.0ms

simplify64.0ms

prune18.0ms

localize5.0ms

rewrite44.0ms

series13.0ms

simplify61.0ms

prune80.0ms

localize6.0ms

rewrite22.0ms

series8.0ms

simplify63.0ms

prune40.0ms

regimes51.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample210.0ms

Profiling