Details

analyze334.0ms (15%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample30.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	78×	body	1280	valid
5.0ms	50×	body	640	valid
2.0ms	91×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	13×	body	160	valid

simplify92.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4999	7
1	4999	7

prune4.0ms (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: 41.3b

Counts

2 → 1

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
3.8b	(-.f64 (exp.f64 x) 1.0)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
5.0ms	(-.f64 (exp.f64 x) 1.0)

series10.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))
2.0ms	(-.f64 (exp.f64 x) 1.0)

simplify66.0ms (3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5019	574

prune78.0ms (3.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 0.0b

Counts

57 → 3

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
0.3b	(*.f64 x 1/12)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
4.0ms	(*.f64 x 1/12)

series9.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
3.0ms	(*.f64 x 1/12)

simplify74.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4843	225
1	4843	225

prune45.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1.0 (exp.f64 x))
0.0b	(/.f64 1 (-.f64 1 (/.f64 1.0 (exp.f64 x))))
3.8b	(-.f64 1 (/.f64 1.0 (exp.f64 x)))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
20×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64`
8×	`add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64`
3×	`div-exp_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64`

Counts

3 → 96

Calls

3 calls:

9.0ms	(/.f64 1 (-.f64 1 (/.f64 1.0 (exp.f64 x))))
7.0ms	(-.f64 1 (/.f64 1.0 (exp.f64 x)))
4.0ms	(/.f64 1.0 (exp.f64 x))

series26.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(/.f64 1 (-.f64 1 (/.f64 1.0 (exp.f64 x))))
7.0ms	(-.f64 1 (/.f64 1.0 (exp.f64 x)))
5.0ms	(/.f64 1.0 (exp.f64 x))

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4871	1130
1	4871	1130

prune114.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 1.0 (exp.f64 x)))
0.0b	(/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x))))
0.0b	(/.f64 1 (log.f64 (/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x))))))
3.8b	(log.f64 (/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x)))))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`log-prod_binary64` `exp-prod_binary64`
11×	`add-exp-log_binary64`
10×	`pow1_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-/r*_binary64`
6×	`associate-/l*_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `log-pow_binary64`
4×	`div-inv_binary64`
3×	`rem-log-exp_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `e-exp-1_binary64`
1×	`1-exp_binary64` `rem-exp-log_binary64` `inv-pow_binary64` `rec-exp_binary64` `log-div_binary64` `pow-flip_binary64`

Counts

4 → 109

Calls

4 calls:

7.0ms	(/.f64 1 (log.f64 (/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x))))))
7.0ms	(/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x))))
6.0ms	(log.f64 (/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x)))))
4.0ms	(exp.f64 (/.f64 1.0 (exp.f64 x)))

series84.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(/.f64 1 (log.f64 (/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x))))))
28.0ms	(log.f64 (/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x)))))
15.0ms	(/.f64 E.f64 (exp.f64 (/.f64 1.0 (exp.f64 x))))
8.0ms	(exp.f64 (/.f64 1.0 (exp.f64 x)))

simplify50.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5061	1242

prune129.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes78.0ms (3.5%)

Accuracy

Total 0.6b remaining (96.1%)

Threshold costs 0.6b (96.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	26
1	26	26

end0.0ms (0%)

sample833.0ms (37.4%)

Algorithm

1×

intervals

Results

390.0ms	2241×	body	1280	valid
182.0ms	1682×	body	640	valid
62.0ms	2837×	body	80	valid
61.0ms	809×	body	320	valid
23.0ms	431×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze334.0ms (15%)

sample30.0ms (1.3%)

simplify92.0ms (4.1%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite13.0ms (0.6%)

series10.0ms (0.4%)

simplify66.0ms (3%)

prune78.0ms (3.5%)

localize5.0ms (0.2%)

rewrite11.0ms (0.5%)

series9.0ms (0.4%)

simplify74.0ms (3.3%)

prune45.0ms (2%)

localize5.0ms (0.2%)

rewrite24.0ms (1.1%)

series26.0ms (1.2%)

simplify72.0ms (3.2%)

prune114.0ms (5.1%)

localize8.0ms (0.4%)

rewrite27.0ms (1.2%)

series84.0ms (3.8%)

simplify50.0ms (2.3%)

prune129.0ms (5.8%)

regimes78.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample833.0ms (37.4%)

Profiling