Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

sample18.0ms (1.6%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

valid

simplify150.0ms (12.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4892	11
1	4892	11

prune10.0ms (0.8%)

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

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
24×	`add-sqr-sqrt_binary64` `times-frac_binary64`
22×	`add-cube-cbrt_binary64`
16×	`log-prod_binary64`
9×	`add-exp-log_binary64`
8×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64`
4×	`associate-/l*_binary64` `sqrt-prod_binary64`
3×	`associate-/r*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 88

Calls

4 calls:

8.0ms	(/.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))) x)
7.0ms	(log.f64 (/.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))) x))
6.0ms	(+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

series33.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(log.f64 (/.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))) x))
7.0ms	(/.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))) x)
5.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))
5.0ms	(+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))

simplify34.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4999	1479
1	4999	1479

prune127.0ms (10.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize9.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))))
0.0b	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))
0.0b	(+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))
0.2b	(-.f64 (log.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))) (log.f64 x))

rewrite28.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`log-prod_binary64`
10×	`pow1_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`log-pow_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `log-div_binary64` `sqrt-prod_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `associate--r+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
2×	`flip3--_binary64` `associate--l-_binary64` `difference-of-squares_binary64` `flip--_binary64` `sqrt-div_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 68

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))) (log.f64 x))
6.0ms	(log.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))))
6.0ms	(+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))
5.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))

series37.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(-.f64 (log.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))) (log.f64 x))
11.0ms	(log.f64 (+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x)))))
5.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 x x)))
4.0ms	(+.f64 1.0 (sqrt.f64 (-.f64 1.0 (*.f64 x x))))

simplify46.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5002	1171

prune99.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	2	82

Merged error: 0b

Counts

82 → 2

regimes23.0ms (2%)

Accuracy

Total 0.1b remaining (96%)

Threshold costs 0.1b (96%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	11
1	27	11

end0.0ms (0%)

sample510.0ms (43.7%)

Algorithm

1×

intervals

Results

414.0ms	8000×	body	80	valid
0.0ms	2×	body	80	nan

Details

analyze5.0ms (0.4%)

sample18.0ms (1.6%)

simplify150.0ms (12.9%)

prune10.0ms (0.8%)

localize8.0ms (0.7%)

rewrite27.0ms (2.3%)

series33.0ms (2.9%)

simplify34.0ms (2.9%)

prune127.0ms (10.9%)

localize9.0ms (0.8%)

rewrite28.0ms (2.4%)

series37.0ms (3.1%)

simplify46.0ms (3.9%)

prune99.0ms (8.4%)

regimes23.0ms (2%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample510.0ms (43.7%)

Profiling