Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

sample13.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify68.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5288	6

prune11.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(exp.f64 (-.f64 (*.f64 x x) 1.0))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64` `exp-prod_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `rem-exp-log_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `exp-sum_binary64` `difference-of-squares_binary64`

Counts

1 → 15

Calls

1 calls:

6.0ms

(exp.f64 (-.f64 (*.f64 x x) 1.0))

series5.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(exp.f64 (-.f64 (*.f64 x x) 1.0))

simplify43.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4927	122
1	4927	122

prune23.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(pow.f64 E.f64 (-.f64 (*.f64 x x) 1.0))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow-unpow_binary64` `add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
2×	`pow1_binary64` `add-exp-log_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `add-log-exp_binary64` `sub-neg_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `add-cbrt-cube_binary64` `pow-sub_binary64` `difference-of-squares_binary64` `e-exp-1_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(pow.f64 E.f64 (-.f64 (*.f64 x x) 1.0))

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(pow.f64 E.f64 (-.f64 (*.f64 x x) 1.0))

simplify63.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4883	201
1	4883	201

prune28.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (+.f64 x (sqrt.f64 1.0)))
0.0b	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`exp-prod_binary64`
6×	`pow-unpow_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow-pow_binary64`
4×	`unpow-prod-down_binary64`
3×	`pow1_binary64`
2×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64` `exp-sum_binary64` `difference-of-squares_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `pow-sub_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

2 → 41

Calls

2 calls:

10.0ms	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))
6.0ms	(exp.f64 (+.f64 x (sqrt.f64 1.0)))

series15.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(pow.f64 (exp.f64 (+.f64 x (sqrt.f64 1.0))) (-.f64 x (sqrt.f64 1.0)))
3.0ms	(exp.f64 (+.f64 x (sqrt.f64 1.0)))

simplify45.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	469
1	4972	469

prune64.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize11.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (+.f64 x (sqrt.f64 1.0)))
0.0b	(cbrt.f64 (+.f64 x (sqrt.f64 1.0)))
0.0b	(*.f64 (-.f64 x (sqrt.f64 1.0)) (cbrt.f64 (+.f64 x (sqrt.f64 1.0))))
0.0b	(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 1.0))) (cbrt.f64 (+.f64 x (sqrt.f64 1.0))))

rewrite38.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64`
37×	`cbrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
22×	`cbrt-div_binary64`
17×	`add-cube-cbrt_binary64`
14×	`associate-r_binary64`
13×	`pow1_binary64` `associate-l_binary64`
11×	`flip3-+_binary64` `flip-+_binary64`
9×	`swap-sqr_binary64` `distribute-lft-out_binary64`
8×	`pow1/3_binary64` `add-exp-log_binary64` `frac-times_binary64`
6×	`unswap-sqr_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `pow-prod-up_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64` `pow2_binary64`

Counts

4 → 115

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 1.0))) (cbrt.f64 (+.f64 x (sqrt.f64 1.0))))
12.0ms	(*.f64 (-.f64 x (sqrt.f64 1.0)) (cbrt.f64 (+.f64 x (sqrt.f64 1.0))))
4.0ms	(cbrt.f64 (+.f64 x (sqrt.f64 1.0)))
4.0ms	(cbrt.f64 (+.f64 x (sqrt.f64 1.0)))

series54.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 (-.f64 x (sqrt.f64 1.0)) (cbrt.f64 (+.f64 x (sqrt.f64 1.0))))
13.0ms	(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 1.0))) (cbrt.f64 (+.f64 x (sqrt.f64 1.0))))
13.0ms	(cbrt.f64 (+.f64 x (sqrt.f64 1.0)))
11.0ms	(cbrt.f64 (+.f64 x (sqrt.f64 1.0)))

simplify43.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4965	1641
1	4965	1641

prune245.0ms (20.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	127	3	130

Merged error: 0b

Counts

130 → 3

regimes54.0ms (4.5%)

Accuracy

Total 0.0b remaining (36.3%)

Threshold costs 0.0b (36.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms (0%)

sample332.0ms (27.5%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze5.0ms (0.4%)

sample13.0ms (1%)

simplify68.0ms (5.6%)

prune11.0ms (0.9%)

localize5.0ms (0.4%)

rewrite6.0ms (0.5%)

series5.0ms (0.4%)

simplify43.0ms (3.6%)

prune23.0ms (1.9%)

localize5.0ms (0.4%)

rewrite6.0ms (0.5%)

series6.0ms (0.5%)

simplify63.0ms (5.2%)

prune28.0ms (2.3%)

localize7.0ms (0.6%)

rewrite17.0ms (1.4%)

series15.0ms (1.2%)

simplify45.0ms (3.7%)

prune64.0ms (5.3%)

localize11.0ms (0.9%)

rewrite38.0ms (3.1%)

series54.0ms (4.5%)

simplify43.0ms (3.5%)

prune245.0ms (20.2%)

regimes54.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample332.0ms (27.5%)

Profiling