Details

analyze2.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (1%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify98.0ms (11.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	46	7
1	46	7

prune4.0ms (0.4%)

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 10 to 8 computations (20% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
18×	`times-frac_binary64_2471`
12×	`add-cube-cbrt_binary64_2500`
8×	`difference-of-squares_binary64_2434`
6×	`associate-/r*_binary64_2409`
4×	`distribute-lft-out--_binary64_2417`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
2×	`associate-/r/_binary64_2411`
1×	`add-log-exp_binary64_2504` `flip--_binary64_2440` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `pow1_binary64_2526` `frac-2neg_binary64_2476` `flip3--_binary64_2469`

Counts

1 → 41

Calls

1 calls:

6.0ms

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

series14.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify84.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4880	617
1	4880	617

prune30.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Error

Counts

45 → 2

Compiler

Compiled 516 to 313 computations (39.3% saved)

localize6.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 1 x))
0.0b	(pow.f64 (/.f64 x (-.f64 1 x)) 3)
18.6b	(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))

rewrite37.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
90×	`times-frac_binary64_2471`
56×	`add-cube-cbrt_binary64_2500`
54×	`cbrt-prod_binary64_2496`
48×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
32×	`difference-of-squares_binary64_2434`
16×	`distribute-lft-out--_binary64_2417`
10×	`associate-/r/_binary64_2411`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`associate-/r*_binary64_2409`
5×	`flip--_binary64_2440` `div-inv_binary64_2462` `flip3--_binary64_2469`
4×	`pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `pow-unpow_binary64_2542` `associate-/l*_binary64_2410`
2×	`rem-cube-cbrt_binary64_2488` `unpow3_binary64_2531` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `div-exp_binary64_2516` `sqr-pow_binary64_2437` `cube-div_binary64_2494`
1×	`clear-num_binary64_2464` `cbrt-div_binary64_2497` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `rem-cbrt-cube_binary64_2489`

Counts

3 → 173

Calls

3 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
8.0ms	(pow.f64 (/.f64 x (-.f64 1 x)) 3)
5.0ms	(/.f64 x (-.f64 1 x))

series50.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(pow.f64 (/.f64 x (-.f64 1 x)) 3)
16.0ms	(/.f64 x (-.f64 1 x))
16.0ms	(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))

simplify66.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5062	2946

prune142.0ms (16.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	182	2	184

Error

Counts

184 → 2

Compiler

Compiled 2508 to 1694 computations (32.5% saved)

regimes16.0ms (1.8%)

Accuracy

Total 0.0b remaining (18.9%)

Threshold costs 0.0b (18.9%)

Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms (0%)

sample291.0ms (33.8%)

Algorithm

1×

intervals

Results

140.0ms

8000×

body

128

valid

Compiler

Compiled 24 to 21 computations (12.5% saved)

Details

analyze2.0ms (0.3%)

sample9.0ms (1%)

simplify98.0ms (11.3%)

prune4.0ms (0.4%)

localize3.0ms (0.4%)

rewrite8.0ms (1%)

series14.0ms (1.6%)

simplify84.0ms (9.7%)

prune30.0ms (3.5%)

localize6.0ms (0.7%)

rewrite37.0ms (4.4%)

series50.0ms (5.8%)

simplify66.0ms (7.6%)

prune142.0ms (16.5%)

regimes16.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.3%)

end0.0ms (0%)

sample291.0ms (33.8%)

Profiling