Details

Time bar (total: 2.2s)

analyze76.0ms (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 6 to 5 computations (16.7% saved)

sample12.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (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))

series37.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

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

simplify144.0ms (6.5%)

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (136.0ms)

IterNodesCost
04777223
14777223

prune57.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725

Merged error: 0.0b

Counts
25 → 7
Compiler

Compiled 717 to 352 computations (50.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.7%)

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)

series34.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

34.0ms
(/.f64 (/.f64 x y) y)

simplify80.0ms (3.6%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050961112

prune89.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh325
Picked011
Done011
Total74680

Merged error: 0b

Counts
80 → 6
Compiler

Compiled 1534 to 609 computations (60.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
9.6b
(cbrt.f64 (/.f64 x y))
9.6b
(cbrt.f64 (/.f64 x y))
9.6b
(cbrt.f64 (/.f64 x y))

rewrite41.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod_binary64
81×add-sqr-sqrt_binary64
69×times-frac_binary64
57×*-un-lft-identity_binary64 add-cube-cbrt_binary64
16×swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
11×pow1_binary64
pow1/3_binary64 unswap-sqr_binary64
cbrt-div_binary64 div-inv_binary64
add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 144
Calls

4 calls:

17.0ms
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
3.0ms
(cbrt.f64 (/.f64 x y))
3.0ms
(cbrt.f64 (/.f64 x y))
3.0ms
(cbrt.f64 (/.f64 x y))

series435.0ms (19.6%)

Counts
4 → 12
Calls

4 calls:

128.0ms
(*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))
103.0ms
(cbrt.f64 (/.f64 x y))
102.0ms
(cbrt.f64 (/.f64 x y))
102.0ms
(cbrt.f64 (/.f64 x y))

simplify90.0ms (4.1%)

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048922314
148922314

prune127.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh033
Picked011
Done022
Total1566162

Merged error: 0b

Counts
162 → 6
Compiler

Compiled 3370 to 684 computations (79.7% saved)

localize5.0ms (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)))

rewrite56.0ms (2.5%)

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:

15.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
7.0ms
(/.f64 y (/.f64 x y))

series68.0ms (3.1%)

Counts
2 → 6
Calls

2 calls:

39.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
29.0ms
(/.f64 y (/.f64 x y))

simplify132.0ms (6%)

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049425136
149425136

prune203.0ms (9.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2761277
Fresh112
Picked101
Done033
Total2785283

Merged error: 0b

Counts
283 → 5
Compiler

Compiled 4227 to 1287 computations (69.6% saved)

regimes52.0ms (2.3%)

Compiler

Compiled 192 to 142 computations (26% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
157

end0.0ms (0%)

sample427.0ms (19.2%)

Algorithm
intervals
Results
176.0ms8000×body128valid
8.0ms394×body128invalid
Compiler

Compiled 59 to 45 computations (23.7% saved)

Profiling

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