Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune4.0ms (0.3%)

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: 18.5b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1.0)
18.5b	(/.f64 x (+.f64 (*.f64 x x) 1.0))

rewrite12.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(/.f64 x (+.f64 (*.f64 x x) 1.0))
5.0ms	(+.f64 (*.f64 x x) 1.0)

series11.0ms (1%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 x (+.f64 (*.f64 x x) 1.0))
5.0ms	(+.f64 (*.f64 x x) 1.0)

simplify58.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4904	474
1	4904	474

prune67.0ms (5.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize7.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1.0)))
0.0b	(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1.0)))
18.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1.0))
18.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1.0))

rewrite28.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
30×	`sqrt-prod_binary64`
12×	`associate-/r*_binary64`
10×	`add-exp-log_binary64`
8×	`pow1_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
6×	`associate-/l*_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `div-exp_binary64` `pow-flip_binary64`
2×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64`

Counts

4 → 118

Calls

4 calls:

8.0ms	(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1.0)))
7.0ms	(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1.0)))
4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1.0))
4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1.0))

series25.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1.0)))
6.0ms	(/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1.0)))
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1.0))
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1.0))

simplify56.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5094	1539

prune165.0ms (14.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize5.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1.0)
0.1b	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1.0) x))
18.5b	(/.f64 (+.f64 (*.f64 x x) 1.0) x)

rewrite24.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

3 → 116

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1.0) x))
7.0ms	(/.f64 (+.f64 (*.f64 x x) 1.0) x)
4.0ms	(+.f64 (*.f64 x x) 1.0)

series21.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 (+.f64 (*.f64 x x) 1.0) x)
6.0ms	(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1.0) x))
5.0ms	(+.f64 (*.f64 x x) 1.0)

simplify87.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4921	1578
1	4921	1578

prune127.0ms (11.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	127	2	129

Merged error: 0b

Counts

129 → 2

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 1 (+.f64 x (/.f64 1.0 x)))

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

1 → 37

Calls

1 calls:

8.0ms

(/.f64 1 (+.f64 x (/.f64 1.0 x)))

series5.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(/.f64 1 (+.f64 x (/.f64 1.0 x)))

simplify67.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5144	408

prune43.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Merged error: 0b

Counts

42 → 2

regimes24.0ms (2.1%)

Accuracy

Total 0.1b remaining (93.1%)

Threshold costs 0.1b (93.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample266.0ms (23.3%)

Algorithm

1×

intervals

Results

175.0ms

8000×

body

valid

Details

analyze1.0ms (0.1%)

sample11.0ms (0.9%)

simplify5.0ms (0.4%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite12.0ms (1.1%)

series11.0ms (1%)

simplify58.0ms (5.1%)

prune67.0ms (5.9%)

localize7.0ms (0.7%)

rewrite28.0ms (2.4%)

series25.0ms (2.2%)

simplify56.0ms (4.9%)

prune165.0ms (14.5%)

localize5.0ms (0.5%)

rewrite24.0ms (2.1%)

series21.0ms (1.9%)

simplify87.0ms (7.7%)

prune127.0ms (11.1%)

localize4.0ms (0.4%)

rewrite9.0ms (0.8%)

series5.0ms (0.5%)

simplify67.0ms (5.9%)

prune43.0ms (3.8%)

regimes24.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample266.0ms (23.3%)

Profiling