Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample19.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	68×	body	640	valid
4.0ms	131×	body	80	valid
3.0ms	42×	body	320	valid
1.0ms	15×	body	160	valid

simplify51.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	649	11
1	649	11

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 14.4b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1.0 (-.f64 x 1.0))
0.0b	(/.f64 1.0 (+.f64 x 1.0))
1.7b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

rewrite44.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
25×	`distribute-lft-out--_binary64`
10×	`distribute-lft-out_binary64`
9×	`associate-/r*_binary64`
8×	`difference-of-squares_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `flip--_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 101

Calls

3 calls:

25.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))
9.0ms	(/.f64 1.0 (-.f64 x 1.0))
5.0ms	(/.f64 1.0 (+.f64 x 1.0))

series16.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))
3.0ms	(/.f64 1.0 (-.f64 x 1.0))
3.0ms	(/.f64 1.0 (+.f64 x 1.0))

simplify73.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4895	1239
1	4895	1239

prune143.0ms (8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Merged error: 0.3b

Counts

111 → 2

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-/r/_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`frac-times_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

1 → 33

Calls

1 calls:

13.0ms

(/.f64 (*.f64 1.0 (*.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

series6.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 (*.f64 1.0 (*.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

simplify26.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5521	553

prune61.0ms (3.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 1.0 x))
0.1b	(/.f64 (.f64 (/.f64 1.0 (+.f64 1.0 x)) (.f64 1.0 -2)) (-.f64 x 1.0))

rewrite24.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64` `times-frac_binary64`
13×	`add-cube-cbrt_binary64`
9×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-lft-out_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`

Counts

2 → 67

Calls

2 calls:

16.0ms	(/.f64 (.f64 (/.f64 1.0 (+.f64 1.0 x)) (.f64 1.0 -2)) (-.f64 x 1.0))
5.0ms	(/.f64 1.0 (+.f64 1.0 x))

series9.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (.f64 (/.f64 1.0 (+.f64 1.0 x)) (.f64 1.0 -2)) (-.f64 x 1.0))
3.0ms	(/.f64 1.0 (+.f64 1.0 x))

simplify42.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5200	858

prune108.0ms (6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))
17.6b	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
17.6b	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
17.6b	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))

rewrite53.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
32×	`associate-/r/_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`frac-times_binary64`
12×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `times-frac_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

4 → 99

Calls

4 calls:

17.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))
11.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
11.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
11.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))

series84.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
25.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
25.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
9.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

simplify42.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5558	2413

prune347.0ms (19.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	111	9	120

Merged error: 0b

Counts

120 → 9

regimes45.0ms (2.5%)

Accuracy

Total 0.1b remaining (90.2%)

Threshold costs 0.1b (90.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample539.0ms (30.2%)

Algorithm

1×

intervals

Results

195.0ms	1850×	body	640	valid
119.0ms	4252×	body	80	valid
100.0ms	1283×	body	320	valid
32.0ms	615×	body	160	valid

Details

analyze4.0ms (0.2%)

sample19.0ms (1.1%)

simplify51.0ms (2.9%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite44.0ms (2.4%)

series16.0ms (0.9%)

simplify73.0ms (4.1%)

prune143.0ms (8%)

localize7.0ms (0.4%)

rewrite15.0ms (0.8%)

series6.0ms (0.3%)

simplify26.0ms (1.5%)

prune61.0ms (3.4%)

localize7.0ms (0.4%)

rewrite24.0ms (1.3%)

series9.0ms (0.5%)

simplify42.0ms (2.4%)

prune108.0ms (6%)

localize11.0ms (0.6%)

rewrite53.0ms (3%)

series84.0ms (4.7%)

simplify42.0ms (2.4%)

prune347.0ms (19.4%)

regimes45.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample539.0ms (30.2%)

Profiling