Details

analyze2.0ms (0.3%)

Algorithm

1×

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

sample9.0ms (1.1%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune4.0ms (0.5%)

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

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.8%)

Algorithm

1×	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 (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify65.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4905	108
1	4905	108

prune25.0ms (3.1%)

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

localize6.0ms (0.7%)

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))))

rewrite40.0ms (4.9%)

Algorithm

1×	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:

17.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))) (sqrt.f64 (+.f64 x (/.f64 1.0 3.0))))
7.0ms	(+.f64 x (/.f64 1.0 3.0))
6.0ms	(+.f64 x (/.f64 1.0 3.0))
6.0ms	(sqrt.f64 (+.f64 x (/.f64 1.0 3.0)))

series13.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

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

simplify63.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4950	998
1	4950	998

prune137.0ms (17.1%)

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 (0.8%)

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))))

rewrite21.0ms (2.7%)

Algorithm

1×	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:

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

series8.0ms (1%)

Counts

3 → 9

Calls

3 calls:

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

simplify61.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4928	343
1	4928	343

prune54.0ms (6.7%)

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

regimes52.0ms (6.4%)

Accuracy

Total 0.0b remaining (46.4%)

Threshold costs 0.0b (46.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample218.0ms (27.2%)

Algorithm

1×

intervals

Results

132.0ms

8000×

body

valid

Details

analyze2.0ms (0.3%)

sample9.0ms (1.1%)

simplify5.0ms (0.6%)

prune4.0ms (0.5%)

localize4.0ms (0.5%)

rewrite6.0ms (0.8%)

series3.0ms (0.3%)

simplify65.0ms (8.1%)

prune25.0ms (3.1%)

localize6.0ms (0.7%)

rewrite40.0ms (4.9%)

series13.0ms (1.7%)

simplify63.0ms (7.9%)

prune137.0ms (17.1%)

localize6.0ms (0.8%)

rewrite21.0ms (2.7%)

series8.0ms (1%)

simplify61.0ms (7.6%)

prune54.0ms (6.7%)

regimes52.0ms (6.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample218.0ms (27.2%)

Profiling