Details

Time bar (total: 1.5s)

analyze5.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 17 computations (19% saved)

sample18.0ms (1.2%)

Algorithm
intervals
Results
12.0ms256×body80valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify160.0ms (10.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
0486128
1486128

prune6.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.0b
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
0.0b
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite45.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
25×add-exp-log_binary64 add-cbrt-cube_binary64
22×associate-*r/_binary64
18×flip3--_binary64 flip--_binary64 sqrt-div_binary64
17×add-sqr-sqrt_binary64
16×pow1_binary64
12×*-un-lft-identity_binary64 frac-times_binary64
11×add-cube-cbrt_binary64
10×cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
associate-*l*_binary64
associate-/r/_binary64
pow-prod-down_binary64
associate-*l/_binary64
add-log-exp_binary64 sqrt-prod_binary64
cbrt-undiv_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 *-commutative_binary64
difference-of-squares_binary64
associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 108
Calls

4 calls:

12.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
10.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)

series47.0ms (3.2%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
11.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
10.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
3.0ms
(*.f64 (*.f64 v v) 6)

simplify74.0ms (5.1%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
055283315

prune118.0ms (8.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done000
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3397 to 2295 computations (32.4% saved)

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
0.2b
(*.f64 6 (*.f64 v v))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

rewrite45.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
37×add-exp-log_binary64 add-cbrt-cube_binary64
23×pow1_binary64
18×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
13×flip3--_binary64 flip--_binary64
12×pow-prod-down_binary64 associate-*r*_binary64 add-sqr-sqrt_binary64 sqrt-div_binary64
11×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64
associate-/r/_binary64 frac-times_binary64
associate-*l*_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
sub-neg_binary64 difference-of-squares_binary64
associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 108
Calls

4 calls:

14.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
13.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
8.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
6.0ms
(*.f64 6 (*.f64 v v))

series48.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
14.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
9.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
3.0ms
(*.f64 6 (*.f64 v v))

simplify77.0ms (5.3%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051883156

prune115.0ms (7.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3312 to 2276 computations (31.3% saved)

regimes55.0ms (3.7%)

Compiler

Compiled 236 to 186 computations (21.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05528
15528

end0.0ms (0%)

sample628.0ms (42.9%)

Algorithm
intervals
Results
394.0ms8000×body80valid
0.0msbody80nan
Compiler

Compiled 77 to 62 computations (19.5% saved)

Profiling

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