Details

Time bar (total: 1.9s)

analyze261.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%71.8%15.7%8
25%56.2%18.9%9
31.2%43.7%25.1%10
39%34.7%26.3%11
44.9%27.9%27.3%12
47.8%22%30.2%13
52.6%16.8%30.7%14

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms8×body128invalid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
023113
123113

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp_binary64
1×*-un-lft-identity_binary64 sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 flip--_binary64
Counts
1 → 11
Calls
1 calls:
4.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))

simplify62.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05540260

prune13.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0b

Counts
15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
0.2b
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))))
3.5b
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
3.5b
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×flip3--_binary64 flip--_binary64
8×swap-sqr_binary64
6×add-log-exp_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
5×pow-prod-up_binary64
4×unswap-sqr_binary64 frac-times_binary64
3×pow-prod-down_binary64 pow-sqr_binary64
2×associate-*r/_binary64 rem-sqrt-square_binary64 associate-*l/_binary64
1×sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 98
Calls
4 calls:
5.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
13.0ms
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
5.0ms
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
79.0ms
(*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))))
118.0ms
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))
117.0ms
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049182160
149182160

prune78.0ms

Filtered
64 candidates to 110 candidates (-71.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done011
Total1103113

Merged error: 0b

Counts
113 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
0.2b
(pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) 3)
37.0b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×unpow-prod-down_binary64 cube-prod_binary64
5×add-log-exp_binary64
4×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64
3×pow-unpow_binary64 flip3--_binary64 flip--_binary64
2×cbrt-div_binary64 sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 sub-neg_binary64 rem-cbrt-cube_binary64 diff-log_binary64 pow1/3_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 pow-exp_binary64
Counts
3 → 59
Calls
3 calls:
4.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
5.0ms
(pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) 3)
6.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) 3))

series284.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z))
157.0ms
(pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) 3)
65.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y 4) z)) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049701425
149701425

prune35.0ms

Filtered
37 candidates to 68 candidates (-83.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done022
Total68371

Merged error: 0b

Counts
71 → 3

regimes76.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05313
15313

end0.0ms

sample416.0ms

Algorithm
intervals
Results
218.0ms8000×body128valid
11.0ms439×body128invalid

Profiling

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