Details

analyze307.0ms (17.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample19.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite45.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`add-sqr-sqrt_binary64`
14×	`log-prod_binary64`
11×	`*-un-lft-identity_binary64`
6×	`times-frac_binary64` `difference-of-squares_binary64`
3×	`difference-of-sqr-1_binary64`
2×	`pow1_binary64` `log-div_binary64` `add-cube-cbrt_binary64` `distribute-lft-out--_binary64` `add-exp-log_binary64`
1×	`log-pow_binary64` `flip3--_binary64` `flip--_binary64` `div-inv_binary64` `rem-log-exp_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`

Counts

1 → 25

Calls

1 calls:

9.0ms

(log.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 389 to 332 computations (14.7% saved)

series34.0ms (1.9%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

28.0ms

(log.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 108 to 92 computations (14.8% saved)

simplify86.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4924	480
1	4924	480

prune31.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Compiler

Compiled 402 to 333 computations (17.2% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (/.f64 1 (*.f64 x x)))
0.0b	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log.f64 (+.f64 1 (/.f64 1 x))))
0.1b	(/.f64 1 (*.f64 x x))
32.6b	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))

rewrite156.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`*-un-lft-identity_binary64`
18×	`pow1_binary64`
16×	`add-exp-log_binary64`
15×	`log-prod_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`add-cbrt-cube_binary64`
8×	`distribute-lft-out_binary64`
6×	`log-pow_binary64` `log-div_binary64` `add-log-exp_binary64` `pow-flip_binary64`
5×	`div-inv_binary64` `associate--l+_binary64` `associate--r+_binary64`
4×	`flip3-+_binary64` `flip-+_binary64` `div-exp_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64`
3×	`prod-exp_binary64` `times-frac_binary64` `associate-/l*_binary64`
2×	`1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`rem-log-exp_binary64` `inv-pow_binary64` `pow2_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/r*_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

15.0ms	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log.f64 (+.f64 1 (/.f64 1 x))))
6.0ms	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
5.0ms	(+.f64 -1 (/.f64 1 (*.f64 x x)))
5.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 2289 to 1742 computations (23.9% saved)

series138.0ms (7.8%)

Error

Counts

4 → 21

Calls

4 calls:

41.0ms	(log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x))))
31.0ms	(+.f64 -1 (/.f64 1 (*.f64 x x)))
27.0ms	(-.f64 (log.f64 (+.f64 -1 (/.f64 1 (*.f64 x x)))) (log.f64 (+.f64 1 (/.f64 1 x))))
20.0ms	(/.f64 1 (*.f64 x x))

Compiler

Compiled 698 to 621 computations (11% saved)

simplify74.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5129	1741

prune128.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Error

Counts

118 → 2

Compiler

Compiled 2296 to 1776 computations (22.6% saved)

regimes91.0ms (5.1%)

Accuracy

Total 0.0b remaining (89.6%)

Threshold costs 0.0b (89.6%)

Compiler

Compiled 489 to 454 computations (7.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26

end0.0ms (0%)

sample629.0ms (35.5%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 113 to 106 computations (6.2% saved)

Details

analyze307.0ms (17.3%)

sample19.0ms (1.1%)

simplify8.0ms (0.5%)

prune4.0ms (0.2%)

localize7.0ms (0.4%)

rewrite45.0ms (2.5%)

series34.0ms (1.9%)

simplify86.0ms (4.9%)

prune31.0ms (1.8%)

localize12.0ms (0.7%)

rewrite156.0ms (8.8%)

series138.0ms (7.8%)

simplify74.0ms (4.2%)

prune128.0ms (7.2%)

regimes91.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample629.0ms (35.5%)

Profiling