Details

Time bar (total: 3.5s)

analyze5.0ms (0.2%)

Algorithm
1×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 (0.5%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify235.0ms (6.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (228.0ms)

IterNodesCost
0477228
1477228

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

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))))))
0.0b
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
0.2b
(*.f64 (*.f64 v v) 6)

rewrite53.0ms (1.5%)

Algorithm
1×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
9×associate-*l*_binary64
8×associate-/r/_binary64
7×pow-prod-down_binary64
6×associate-*l/_binary64
4×add-log-exp_binary64 sqrt-prod_binary64
3×cbrt-undiv_binary64 unswap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 div-exp_binary64 *-commutative_binary64
2×difference-of-squares_binary64
1×associate-/r*_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 108
Calls

4 calls:

13.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
12.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
11.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
6.0ms
(*.f64 (*.f64 v v) 6)

series449.0ms (13%)

Counts
4 → 12
Calls

4 calls:

193.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))))
114.0ms
(*.f64 PI.f64 (*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6)))))
108.0ms
(*.f64 (-.f64 1 (*.f64 v v)) (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))))
33.0ms
(*.f64 (*.f64 v v) 6)

simplify96.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049193300
149193300

prune163.0ms (4.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1191120
Fresh011
Picked101
Done000
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3407 to 2303 computations (32.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite94.0ms (2.7%)

Algorithm
1×rewrite-expression-head
Rules
94×associate-*r/_binary64
84×frac-times_binary64
54×flip3--_binary64 flip--_binary64 sqrt-div_binary64
37×add-exp-log_binary64 add-cbrt-cube_binary64
27×flip3-+_binary64 flip-+_binary64
26×associate-/r/_binary64
24×associate-*l/_binary64
23×pow1_binary64
18×cbrt-unprod_binary64 prod-exp_binary64
16×distribute-lft-in_binary64 distribute-rgt-in_binary64
12×pow-prod-down_binary64 sub-neg_binary64
11×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
8×associate-*l*_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
3×associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
1×associate-/r*_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 174
Calls

4 calls:

24.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (+.f64 1 v) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 v)))))
20.0ms
(*.f64 PI.f64 (*.f64 (+.f64 1 v) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 v))))
16.0ms
(*.f64 (+.f64 1 v) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 v)))
7.0ms
(*.f64 (*.f64 v v) 6)

series455.0ms (13.1%)

Counts
4 → 12
Calls

4 calls:

188.0ms
(/.f64 4/3 (*.f64 PI.f64 (*.f64 (+.f64 1 v) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 v)))))
124.0ms
(*.f64 PI.f64 (*.f64 (+.f64 1 v) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 v))))
108.0ms
(*.f64 (+.f64 1 v) (*.f64 (sqrt.f64 (-.f64 2 (*.f64 (*.f64 v v) 6))) (-.f64 1 v)))
34.0ms
(*.f64 (*.f64 v v) 6)

simplify93.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049296259
149296259

prune362.0ms (10.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh011
Picked011
Done000
Total1862188

Merged error: 0b

Counts
188 → 2
Compiler

Compiled 6427 to 4580 computations (28.7% saved)

localize11.0ms (0.3%)

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))))))

rewrite54.0ms (1.5%)

Algorithm
1×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
8×associate-/r/_binary64 frac-times_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 associate-*l/_binary64
3×associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64 *-commutative_binary64
2×sub-neg_binary64 difference-of-squares_binary64
1×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:

15.0ms
(/.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))

series484.0ms (14%)

Counts
4 → 12
Calls

4 calls:

202.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
141.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
108.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
33.0ms
(*.f64 6 (*.f64 v v))

simplify66.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050423120

prune158.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0b

Counts
122 → 2
Compiler

Compiled 3293 to 2265 computations (31.2% saved)

regimes35.0ms (1%)

Compiler

Compiled 244 to 198 computations (18.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05831
15831

end0.0ms (0%)

sample593.0ms (17.1%)

Algorithm
1×intervals
Results
402.0ms8000×body128valid
0.0ms1×body128nan
Compiler

Compiled 81 to 68 computations (16% saved)

Profiling

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