Details

analyze5.0ms (0.2%)

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)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify156.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	46	7
1	46	7

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.7%)

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:

11.0ms

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

series21.0ms (1%)

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify145.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4880	617
1	4880	617

prune54.0ms (2.7%)

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

Merged error: 0b

Counts

45 → 2

Compiler

Compiled 521 to 317 computations (39.2% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
0.1b	(/.f64 1 (sqrt.f64 (-.f64 1 x)))
0.1b	(/.f64 x (sqrt.f64 (-.f64 1 x)))

rewrite144.0ms (7%)

Algorithm

1×	rewrite-expression-head

Rules

165×	`add-sqr-sqrt_binary64_2487`
130×	`times-frac_binary64_2471`
124×	`*-un-lft-identity_binary64_2465`
101×	`sqrt-prod_binary64_2481`
73×	`add-cube-cbrt_binary64_2500`
33×	`associate-r_binary64_2405` `associate-l_binary64_2406`
32×	`add-exp-log_binary64_2503`
30×	`difference-of-squares_binary64_2434`
20×	`add-cbrt-cube_binary64_2501`
18×	`associate-/r*_binary64_2409`
15×	`distribute-lft-out--_binary64_2417` `unswap-sqr_binary64_2433`
11×	`div-exp_binary64_2516`
10×	`sqrt-div_binary64_2482`
9×	`pow1_binary64_2526`
8×	`associate-/r/_binary64_2411` `prod-exp_binary64_2514`
6×	`cbrt-undiv_binary64_2499` `associate-/l*_binary64_2410`
5×	`flip--_binary64_2440` `flip3--_binary64_2469`
4×	`add-log-exp_binary64_2504` `div-inv_binary64_2462` `cbrt-unprod_binary64_2498`
3×	`pow-flip_binary64_2539` `rec-exp_binary64_2515` `1-exp_binary64_2509`
2×	`pow1/2_binary64_2545` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `sqrt-pow1_binary64_2483`
1×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `inv-pow_binary64_2550` `associate-*r/_binary64_2407` `rem-sqrt-square_binary64_2478` `pow-prod-down_binary64_2536`

Counts

4 → 235

Calls

4 calls:

67.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
12.0ms	(/.f64 1 (sqrt.f64 (-.f64 1 x)))
12.0ms	(/.f64 x (sqrt.f64 (-.f64 1 x)))
7.0ms	(sqrt.f64 (-.f64 1 x))

series140.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(/.f64 x (sqrt.f64 (-.f64 1 x)))
35.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
31.0ms	(/.f64 1 (sqrt.f64 (-.f64 1 x)))
26.0ms	(sqrt.f64 (-.f64 1 x))

simplify158.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4983	4290
1	4983	4290

prune513.0ms (25%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	247	2	249

Merged error: 0b

Counts

249 → 2

Compiler

Compiled 4752 to 3511 computations (26.1% saved)

regimes42.0ms (2%)

Compiler: Compiled 118 to 88 computations (25.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms (0%)

sample615.0ms (30.1%)

Algorithm

1×

intervals

Results

250.0ms

8000×

body

128

valid

Compiler

Compiled 64 to 49 computations (23.4% saved)

Details

analyze5.0ms (0.2%)

sample17.0ms (0.8%)

simplify156.0ms (7.6%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

rewrite15.0ms (0.7%)

series21.0ms (1%)

simplify145.0ms (7.1%)

prune54.0ms (2.7%)

localize12.0ms (0.6%)

rewrite144.0ms (7%)

series140.0ms (6.8%)

simplify158.0ms (7.7%)

prune513.0ms (25%)

regimes42.0ms (2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample615.0ms (30.1%)

Profiling