Details

Time bar (total: 2.9s)

analyze759.0ms (25.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
15.6%80.3%4.1%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms45×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify20.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
011810
111810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-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 cancel-sign-sub-inv_binary64 add-sqr-sqrt_binary64 flip--_binary64
Counts
1 → 12
Calls

1 calls:

4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series82.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

82.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify82.0ms (2.8%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04870220
14870220

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3
Compiler

Compiled 296 to 133 computations (55.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
0.2b
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
1.3b
(sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))
1.3b
(sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))

rewrite38.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
30×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
flip3--_binary64 flip--_binary64
swap-sqr_binary64
add-log-exp_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-up_binary64
unswap-sqr_binary64 rem-sqrt-square_binary64 frac-times_binary64
pow-prod-down_binary64 pow-sqr_binary64
associate-*r/_binary64 associate-*l/_binary64
sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 cancel-sign-sub-inv_binary64 prod-exp_binary64 sqr-abs_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 100
Calls

4 calls:

15.0ms
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))))
4.0ms
(sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
4.0ms
(sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))

series513.0ms (17.5%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))
159.0ms
(sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))
87.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
83.0ms
(*.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))))

simplify53.0ms (1.8%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
050612019

prune83.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh011
Picked011
Done011
Total1123115

Merged error: 0.0b

Counts
115 → 3
Compiler

Compiled 2394 to 385 computations (83.9% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x y) (*.f64 z t))
0.3b
(pow.f64 (-.f64 (*.f64 x y) (*.f64 z t)) 3)
32.8b
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) (*.f64 z t)) 3))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
unpow-prod-down_binary64 cube-prod_binary64
add-log-exp_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cube-div_binary64
pow-unpow_binary64 flip3--_binary64 flip--_binary64
cbrt-div_binary64 sqr-pow_binary64 unpow3_binary64 cube-mult_binary64
pow-to-exp_binary64 sub-neg_binary64 rem-cbrt-cube_binary64 diff-log_binary64 pow1/3_binary64 pow-pow_binary64 cancel-sign-sub-inv_binary64 rem-cube-cbrt_binary64 pow-exp_binary64
Counts
3 → 60
Calls

3 calls:

5.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) (*.f64 z t)) 3))
5.0ms
(pow.f64 (-.f64 (*.f64 x y) (*.f64 z t)) 3)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series467.0ms (16%)

Counts
3 → 9
Calls

3 calls:

306.0ms
(pow.f64 (-.f64 (*.f64 x y) (*.f64 z t)) 3)
84.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
77.0ms
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) (*.f64 z t)) 3))

simplify50.0ms (1.7%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051481202

prune49.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done022
Total69372

Merged error: 0.0b

Counts
72 → 3
Compiler

Compiled 1077 to 306 computations (71.6% saved)

regimes71.0ms (2.4%)

Compiler

Compiled 272 to 248 computations (8.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03610
13610

end0.0ms (0%)

sample567.0ms (19.4%)

Algorithm
intervals
Results
213.0ms8000×body128valid
40.0ms1366×body128invalid
Compiler

Compiled 49 to 45 computations (8.2% saved)

Profiling

Loading profile data...