Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	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

sample14.0ms (1.2%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify27.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	345	5
1	345	5

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: 0.0b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 x (-.f64 1.0 x))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 37

Calls

1 calls:

5.0ms

(/.f64 x (-.f64 1.0 x))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/.f64 x (-.f64 1.0 x))

simplify68.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4922	368
1	4922	368

prune49.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 85

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 1 (-.f64 1.0 x)))
6.0ms	(/.f64 1 (-.f64 1.0 x))

series6.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

3.0ms	(*.f64 x (/.f64 1 (-.f64 1.0 x)))
2.0ms	(/.f64 1 (-.f64 1.0 x))

simplify59.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	710
1	4947	710

prune96.0ms (7.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	4	95

Merged error: 0b

Counts

95 → 4

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)
0.0b	(+.f64 x (+.f64 (*.f64 x x) 1))
0.0b	(.f64 (.f64 x 1.0) (+.f64 x (+.f64 (*.f64 x x) 1)))

rewrite23.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`distribute-lft-out_binary64` `associate-*r/_binary64` `+-commutative_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

10.0ms	(.f64 (.f64 x 1.0) (+.f64 x (+.f64 (*.f64 x x) 1)))
6.0ms	(+.f64 x (+.f64 (*.f64 x x) 1))
4.0ms	(+.f64 (*.f64 x x) 1)

series12.0ms (1%)

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 (*.f64 x x) 1)
5.0ms	(.f64 (.f64 x 1.0) (+.f64 x (+.f64 (*.f64 x x) 1)))
3.0ms	(+.f64 x (+.f64 (*.f64 x x) 1))

simplify52.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5100	557

prune60.0ms (4.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite59.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Rules

123×	`add-sqr-sqrt_binary64`
112×	`*-un-lft-identity_binary64`
91×	`times-frac_binary64`
58×	`sqrt-prod_binary64`
50×	`add-cube-cbrt_binary64`
33×	`associate-r_binary64`
32×	`add-exp-log_binary64`
28×	`difference-of-squares_binary64`
21×	`associate-l_binary64`
20×	`add-cbrt-cube_binary64`
16×	`distribute-lft-out_binary64`
14×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
11×	`div-exp_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
4×	`cbrt-unprod_binary64` `div-inv_binary64`
3×	`flip3-+_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 191

Calls

4 calls:

30.0ms	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 1.0) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 1.0) (sqrt.f64 x))))
8.0ms	(/.f64 x (-.f64 (sqrt.f64 1.0) (sqrt.f64 x)))
7.0ms	(/.f64 1 (+.f64 (sqrt.f64 1.0) (sqrt.f64 x)))
5.0ms	(+.f64 (sqrt.f64 1.0) (sqrt.f64 x))

series68.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(*.f64 (/.f64 1 (+.f64 (sqrt.f64 1.0) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 1.0) (sqrt.f64 x))))
14.0ms	(/.f64 x (-.f64 (sqrt.f64 1.0) (sqrt.f64 x)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 1.0) (sqrt.f64 x)))
5.0ms	(+.f64 (sqrt.f64 1.0) (sqrt.f64 x))

simplify42.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5196	2631

prune269.0ms (21.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	203	4	207

Merged error: 0b

Counts

207 → 4

regimes55.0ms (4.4%)

Accuracy

Total 0.0b remaining (52.9%)

Threshold costs 0.0b (52.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms (0%)

sample224.0ms (18%)

Algorithm

1×

intervals

Results

136.0ms

8000×

body

valid

Details

analyze2.0ms (0.2%)

sample14.0ms (1.2%)

simplify27.0ms (2.2%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

rewrite7.0ms (0.5%)

series3.0ms (0.3%)

simplify68.0ms (5.4%)

prune49.0ms (3.9%)

localize4.0ms (0.3%)

rewrite19.0ms (1.5%)

series6.0ms (0.5%)

simplify59.0ms (4.8%)

prune96.0ms (7.7%)

localize7.0ms (0.5%)

rewrite23.0ms (1.8%)

series12.0ms (1%)

simplify52.0ms (4.2%)

prune60.0ms (4.8%)

localize9.0ms (0.7%)

rewrite59.0ms (4.8%)

series68.0ms (5.5%)

simplify42.0ms (3.4%)

prune269.0ms (21.6%)

regimes55.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample224.0ms (18%)

Profiling