Details

Time bar (total: 1.7s)

analyze56.0ms (3.3%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.6%)

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody80invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify12.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0107
1107

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x y) y)

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
1 → 18
Calls

1 calls:

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

series8.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(*.f64 (*.f64 x y) y)

simplify70.0ms (4.1%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05164177

prune18.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.0b

Counts
22 → 6
Compiler

Compiled 217 to 73 computations (66.4% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
17.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
17.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
17.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))

rewrite19.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
cbrt-prod_binary64
add-exp-log_binary64
add-log-exp_binary64 swap-sqr_binary64 associate-*r*_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))

series83.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
20.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
18.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
18.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))

simplify78.0ms (4.6%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04890738
14890738

prune49.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New66470
Fresh134
Picked011
Done011
Total67976

Merged error: 0.0b

Counts
76 → 9
Compiler

Compiled 1596 to 368 computations (76.9% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
7.8b
(cbrt.f64 (*.f64 y x))
17.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
17.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))

rewrite14.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 38
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 y x))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
1.0ms
(cbrt.f64 y)

series65.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

18.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
18.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
15.0ms
(cbrt.f64 y)
13.0ms
(cbrt.f64 (*.f64 y x))

simplify81.0ms (4.8%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05433433

prune35.0ms (2.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New48250
Fresh066
Picked101
Done022
Total491059

Merged error: 0.0b

Counts
59 → 10
Compiler

Compiled 1369 to 270 computations (80.3% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
7.8b
(cbrt.f64 (*.f64 y x))
17.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
17.7b
(cbrt.f64 (*.f64 y (*.f64 y x)))

rewrite12.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 38
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 y (*.f64 y x)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
2.0ms
(cbrt.f64 (*.f64 y x))
1.0ms
(cbrt.f64 y)

series67.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(cbrt.f64 (*.f64 y (*.f64 y x)))
18.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
15.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 (*.f64 y x))

simplify84.0ms (5%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05433433

prune23.0ms (1.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh077
Picked011
Done022
Total501060

Merged error: 0.0b

Counts
60 → 10
Compiler

Compiled 1207 to 192 computations (84.1% saved)

regimes110.0ms (6.5%)

Compiler

Compiled 575 to 304 computations (47.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample759.0ms (44.5%)

Algorithm
intervals
Results
149.0ms8000×body80valid
3.0ms192×body80invalid
Compiler

Compiled 198 to 107 computations (46% saved)

Profiling

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