Details

Time bar (total: 2.4s)

analyze82.0ms (3.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.9b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

8.5b
(/.f64 x (*.f64 y y))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 associate-/l*_binary64 times-frac_binary64
cbrt-undiv_binary64 div-exp_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y y))

series38.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(/.f64 x (*.f64 y y))

simplify126.0ms (5.2%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
04777223
14777223

prune53.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New20424
Fresh000
Picked011
Done000
Total20525

Merged error: 0.0b

Counts
25 → 5
Compiler

Compiled 757 to 424 computations (44% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (/.f64 x y) y)

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
13×associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
div-inv_binary64
associate-/r*_binary64 cbrt-undiv_binary64 div-exp_binary64
associate-/l/_binary64 add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
Counts
1 → 70
Calls

1 calls:

7.0ms
(/.f64 (/.f64 x y) y)

series33.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(/.f64 (/.f64 x y) y)

simplify78.0ms (3.2%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
050961112

prune61.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh213
Picked011
Done011
Total74478

Merged error: 0b

Counts
78 → 4
Compiler

Compiled 1171 to 468 computations (60% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 y (/.f64 x y))
1.1b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite57.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
57×associate-/r*_binary64
22×add-exp-log_binary64 div-inv_binary64
16×add-cbrt-cube_binary64
12×div-exp_binary64
cbrt-undiv_binary64
associate-/r/_binary64 associate-/l*_binary64
pow1_binary64 rec-exp_binary64
add-log-exp_binary64 clear-num_binary64 frac-2neg_binary64
inv-pow_binary64 pow-flip_binary64
Counts
2 → 271
Calls

2 calls:

17.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))

series58.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

32.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
26.0ms
(/.f64 y (/.f64 x y))

simplify135.0ms (5.6%)

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049425136
149425136

prune237.0ms (9.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2770277
Fresh011
Picked011
Done022
Total2774281

Merged error: 0b

Counts
281 → 4
Compiler

Compiled 4767 to 1846 computations (61.3% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 1 (sqrt.f64 y))
0.1b
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2)))
3.2b
(/.f64 x (pow.f64 y 3/2))

rewrite54.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt_binary64
109×times-frac_binary64
69×*-un-lft-identity_binary64
61×add-cube-cbrt_binary64
45×add-exp-log_binary64
29×sqrt-prod_binary64
26×unpow-prod-down_binary64
25×associate-*r*_binary64
22×associate-*l*_binary64
20×unswap-sqr_binary64
19×add-cbrt-cube_binary64
17×div-exp_binary64
13×associate-/r*_binary64
12×sqr-pow_binary64 prod-exp_binary64
pow1_binary64
cbrt-undiv_binary64 associate-/l*_binary64
rec-exp_binary64
pow-to-exp_binary64 cbrt-unprod_binary64 div-inv_binary64 pow-exp_binary64
add-log-exp_binary64 pow-flip_binary64
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 pow1/2_binary64 associate-*r/_binary64 sqrt-pow1_binary64 inv-pow_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
3 → 184
Calls

3 calls:

23.0ms
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2)))
7.0ms
(/.f64 x (pow.f64 y 3/2))
5.0ms
(/.f64 1 (sqrt.f64 y))

series220.0ms (9.1%)

Counts
3 → 9
Calls

3 calls:

93.0ms
(/.f64 x (pow.f64 y 3/2))
73.0ms
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (pow.f64 y 3/2)))
54.0ms
(/.f64 1 (sqrt.f64 y))

simplify153.0ms (6.3%)

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049152886
149152886

prune275.0ms (11.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1930193
Fresh000
Picked011
Done033
Total1934197

Merged error: 0b

Counts
197 → 4
Compiler

Compiled 3368 to 2051 computations (39.1% saved)

regimes84.0ms (3.5%)

Compiler

Compiled 209 to 189 computations (9.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample603.0ms (24.9%)

Algorithm
intervals
Results
296.0ms8000×body128valid
14.0ms394×body128invalid
Compiler

Compiled 57 to 52 computations (8.8% saved)

Profiling

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