Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample95.0ms (2.2%)

Algorithm

1×

intervals

Results

57.0ms	111×	body	1280	valid
22.0ms	76×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	10×	body	80	valid

simplify234.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4889	12
1	4889	12

prune8.0ms (0.2%)

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: 58.0b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
5.9b	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
26×	`log-prod_binary64`
23×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 82

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
7.0ms	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

series9.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5006	1111

prune148.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 0.1b

Counts

89 → 7

localize12.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune14.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 0.1b

Counts

7 → 7

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (-.f64 1.0 x)))
6.0b	(log.f64 (+.f64 1.0 x))
6.0b	(log.f64 (-.f64 1.0 x))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`log-pow_binary64` `distribute-lft-out--_binary64`
5×	`associate--r+_binary64` `add-exp-log_binary64`
4×	`associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (-.f64 1.0 x)))
4.0ms	(log.f64 (-.f64 1.0 x))
3.0ms	(log.f64 (+.f64 1.0 x))

series19.0ms (0.4%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (-.f64 1.0 x)))
4.0ms	(log.f64 (-.f64 1.0 x))
4.0ms	(log.f64 (+.f64 1.0 x))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4922	693
1	4922	693

prune95.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3)) (+.f64 (*.f64 x 2.0) (*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))))

0.1b

(*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))

0.1b

(*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3))

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`associate-r_binary64` `add-sqr-sqrt_binary64`
78×	`times-frac_binary64`
63×	`unpow-prod-down_binary64`
49×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`add-exp-log_binary64`
22×	`sqr-pow_binary64`
16×	`unswap-sqr_binary64`
15×	`cube-prod_binary64`
14×	`prod-exp_binary64`
10×	`add-cbrt-cube_binary64` `div-exp_binary64`
8×	`add-log-exp_binary64` `pow-exp_binary64`
7×	`pow-to-exp_binary64`
6×	`associate-l_binary64`
5×	`pow1_binary64`
4×	`associate-*r/_binary64`
3×	`cbrt-unprod_binary64` `cube-div_binary64` `div-inv_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `+-commutative_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 158

Calls

3 calls:

19.0ms

(*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))

13.0ms

(+.f64 (*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3)) (+.f64 (*.f64 x 2.0) (*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))))

13.0ms

(*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3))

series34.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

13.0ms

(*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))

11.0ms

(+.f64 (*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3)) (+.f64 (*.f64 x 2.0) (*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))))

10.0ms

(*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5023	2024

prune388.0ms (9.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	167	5	172

Merged error: 0.0b

Counts

172 → 5

regimes34.0ms (0.8%)

Accuracy

Total 0.2b remaining (93.5%)

Threshold costs 0.2b (93.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

end0.0ms (0%)

sample2.8s (66.7%)

Algorithm

1×

intervals

Results

1.7s	3385×	body	1280	valid
698.0ms	2454×	body	640	valid
222.0ms	1282×	body	320	valid
72.0ms	649×	body	160	valid
12.0ms	230×	body	80	valid

Details

analyze5.0ms (0.1%)

sample95.0ms (2.2%)

simplify234.0ms (5.6%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

rewrite19.0ms (0.4%)

series9.0ms (0.2%)

simplify51.0ms (1.2%)

prune148.0ms (3.5%)

localize12.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0.1%)

prune14.0ms (0.3%)

localize9.0ms (0.2%)

rewrite19.0ms (0.4%)

series19.0ms (0.4%)

simplify72.0ms (1.7%)

prune95.0ms (2.2%)

localize15.0ms (0.4%)

rewrite52.0ms (1.2%)

series34.0ms (0.8%)

simplify59.0ms (1.4%)

prune388.0ms (9.2%)

regimes34.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (66.7%)

Profiling