Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify194.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4965	10
1	4965	10

prune2.0ms (0.1%)

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: 0.3b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`log-prod_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64`
8×	`log-pow_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`associate--r+_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64`
3×	`add-exp-log_binary64` `associate--l+_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms	(log.f64 (log.f64 x))

series517.0ms (15%)

Counts

2 → 6

Calls

2 calls:

310.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
206.0ms	(log.f64 (log.f64 x))

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4905	484
1	4905	484

prune42.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

Compiler

Compiled 593 to 213 computations (64.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (/.f64 x (log.f64 x)))
0.3b	(/.f64 x (log.f64 x))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
10×	`pow1_binary64`
8×	`log-pow_binary64`
7×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`

Counts

2 → 58

Calls

2 calls:

3.0ms	(/.f64 x (log.f64 x))
3.0ms	(log.f64 (/.f64 x (log.f64 x)))

series504.0ms (14.7%)

Counts

2 → 6

Calls

2 calls:

307.0ms	(log.f64 (/.f64 x (log.f64 x)))
197.0ms	(/.f64 x (log.f64 x))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5236	799

prune43.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Merged error: 0b

Counts

67 → 3

Compiler

Compiled 717 to 227 computations (68.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 1 (/.f64 (log.f64 x) x)))
0.3b	(/.f64 (log.f64 x) x)
0.3b	(/.f64 1 (/.f64 (log.f64 x) x))

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
53×	`log-prod_binary64`
31×	`pow1_binary64`
28×	`log-pow_binary64`
22×	`add-exp-log_binary64`
19×	`associate-/r*_binary64`
10×	`add-cbrt-cube_binary64` `div-inv_binary64`
9×	`div-exp_binary64`
7×	`associate-/l*_binary64`
5×	`rem-log-exp_binary64`
4×	`cbrt-undiv_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`
1×	`log-rec_binary64` `log-div_binary64`

Counts

3 → 187

Calls

3 calls:

8.0ms	(log.f64 (/.f64 1 (/.f64 (log.f64 x) x)))
7.0ms	(/.f64 1 (/.f64 (log.f64 x) x))
4.0ms	(/.f64 (log.f64 x) x)

series640.0ms (18.6%)

Counts

3 → 9

Calls

3 calls:

279.0ms	(log.f64 (/.f64 1 (/.f64 (log.f64 x) x)))
204.0ms	(/.f64 1 (/.f64 (log.f64 x) x))
157.0ms	(/.f64 (log.f64 x) x)

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5026	3132

prune134.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	4	199

Merged error: 0b

Counts

199 → 4

Compiler

Compiled 2536 to 928 computations (63.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (/.f64 (log.f64 x) x))
0.3b	(/.f64 (log.f64 x) x)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
10×	`pow1_binary64`
8×	`log-pow_binary64`
7×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64`
2×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`

Counts

2 → 58

Calls

2 calls:

4.0ms	(/.f64 (log.f64 x) x)
3.0ms	(log.f64 (/.f64 (log.f64 x) x))

series394.0ms (11.5%)

Counts

2 → 6

Calls

2 calls:

249.0ms	(log.f64 (/.f64 (log.f64 x) x))
146.0ms	(/.f64 (log.f64 x) x)

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4922	827
1	4922	827

prune37.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

Compiler

Compiled 717 to 251 computations (65% saved)

regimes11.0ms (0.3%)

Compiler: Compiled 29 to 23 computations (20.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

end0.0ms (0%)

sample495.0ms (14.4%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 40 to 32 computations (20% saved)

Details

analyze7.0ms (0.2%)

sample16.0ms (0.5%)

simplify194.0ms (5.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite10.0ms (0.3%)

series517.0ms (15%)

simplify79.0ms (2.3%)

prune42.0ms (1.2%)

localize6.0ms (0.2%)

rewrite10.0ms (0.3%)

series504.0ms (14.7%)

simplify61.0ms (1.8%)

prune43.0ms (1.3%)

localize7.0ms (0.2%)

rewrite38.0ms (1.1%)

series640.0ms (18.6%)

simplify93.0ms (2.7%)

prune134.0ms (3.9%)

localize6.0ms (0.2%)

rewrite11.0ms (0.3%)

series394.0ms (11.5%)

simplify78.0ms (2.3%)

prune37.0ms (1.1%)

regimes11.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample495.0ms (14.4%)

Profiling