Details

analyze3.0ms (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)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify286.0ms (16%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (188.0ms)

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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0.5%)

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)))

rewrite33.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`log-prod_binary64_2210`
10×	`pow1_binary64_2185` `*-un-lft-identity_binary64_2124`
8×	`add-sqr-sqrt_binary64_2146` `log-pow_binary64_2213`
6×	`add-cube-cbrt_binary64_2159`
4×	`cancel-sign-sub-inv_binary64_2090` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060`
3×	`add-exp-log_binary64_2162` `associate--l+_binary64_2061`
2×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `rem-log-exp_binary64_2165`

Counts

2 → 40

Calls

2 calls:

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

Compiler

Compiled 468 to 131 computations (72% saved)

series293.0ms (16.4%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

170.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
118.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 183 to 149 computations (18.6% saved)

simplify65.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5070	484

prune25.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 445 to 115 computations (74.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`times-frac_binary64_2130`
19×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
16×	`log-prod_binary64_2210`
10×	`pow1_binary64_2185`
8×	`log-pow_binary64_2213`
7×	`add-exp-log_binary64_2162`
4×	`add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
3×	`associate-/l*_binary64_2069`
2×	`div-exp_binary64_2175` `add-log-exp_binary64_2163` `div-inv_binary64_2121` `rem-log-exp_binary64_2165`
1×	`cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `log-div_binary64_2211`

Counts

2 → 58

Calls

2 calls:

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

Compiler

Compiled 680 to 207 computations (69.6% saved)

series267.0ms (14.9%)

Error

Counts

2 → 6

Calls

2 calls:

158.0ms	(log.f64 (/.f64 x (log.f64 x)))
103.0ms	(/.f64 x (log.f64 x))

Compiler

Compiled 177 to 150 computations (15.3% saved)

simplify99.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4959	799
1	4959	799

prune32.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Error

Counts

66 → 2

Compiler

Compiled 635 to 168 computations (73.5% saved)

regimes28.0ms (1.6%)

Accuracy

Total 0.0b remaining (80.6%)

Threshold costs 0.0b (80.6%)

Compiler

Compiled 90 to 74 computations (17.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end0.0ms (0%)

sample574.0ms (32.2%)

Algorithm

1×

intervals

Results

322.0ms	8000×	body	128	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 36 to 30 computations (16.7% saved)

Details

analyze3.0ms (0.2%)

sample17.0ms (0.9%)

simplify286.0ms (16%)

prune2.0ms (0.1%)

localize10.0ms (0.5%)

rewrite33.0ms (1.8%)

series293.0ms (16.4%)

simplify65.0ms (3.7%)

prune25.0ms (1.4%)

localize5.0ms (0.3%)

rewrite44.0ms (2.4%)

series267.0ms (14.9%)

simplify99.0ms (5.5%)

prune32.0ms (1.8%)

regimes28.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample574.0ms (32.2%)

Profiling