Details

Time bar (total: 2.2s)

analyze177.0ms (8.1%)

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 22 to 17 computations (22.7% saved)

sample25.0ms (1.2%)

Algorithm
1×intervals
Results
18.0ms256×body128valid
0.0ms1×body128nan
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify128.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
1332×fma-def_binary64
889×associate-/r*_binary64
605×neg-sub0_binary64
599×neg-mul-1_binary64
576×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01731
14228
210226
326126
468426
5108824
6180124
7354124
8391424
9400224
10441624
11440924
12441524
13515924

prune5.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 113 to 85 computations (24.8% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
66×times-frac_binary64
42×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
39×add-cube-cbrt_binary64
27×sqrt-prod_binary64
Counts
4 → 134
Calls

4 calls:

6.0ms
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
4.0ms
(*.f64 PI.f64 (fma.f64 v v -1))
3.0ms
(/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1)))
1.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))

series60.0ms (2.7%)

Counts
4 → 48
Calls

4 calls:

32.0ms
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
13.0ms
(*.f64 PI.f64 (fma.f64 v v -1))
8.0ms
(/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1)))
7.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))

simplify153.0ms (7%)

Algorithm
1×egg-herbie
Rules
332×associate-/r*_binary64
308×cancel-sign-sub-inv_binary64
209×fma-def_binary64
198×sub-neg_binary64
196×fma-neg_binary64
Counts
182 → 297
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04255758
111035335
239195331
349375331

prune205.0ms (9.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2970297
Fresh011
Picked011
Done000
Total2972299
Error
0b
Counts
299 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
▶1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 6727 to 5039 computations (25.1% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓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))))))

rewrite43.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
37×add-cbrt-cube_binary64
37×add-exp-log_binary64
23×pow1_binary64
18×associate-*r/_binary64
18×cbrt-unprod_binary64
Counts
4 → 124
Calls

4 calls:

11.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
11.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
6.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
4.0ms
(*.f64 6 (*.f64 v v))

series74.0ms (3.4%)

Counts
4 → 48
Calls

4 calls:

32.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
19.0ms
(*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
13.0ms
(*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v)))
10.0ms
(*.f64 6 (*.f64 v v))

simplify148.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
513×associate-*l*_binary64
457×associate-*r*_binary64
314×fma-neg_binary64
302×associate-/r*_binary64
265×fma-def_binary64
Counts
172 → 328
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04555583
112464946
247224946
349134946

prune174.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3280328
Fresh000
Picked011
Done011
Total3282330
Error
0b
Counts
330 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 PI.f64) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
Compiler

Compiled 8538 to 5992 computations (29.8% saved)

regimes148.0ms (6.8%)

Accuracy

Total 0.0b remaining (55.8%)

Threshold costs 0.0b (55.8%)

Compiler

Compiled 2989 to 2364 computations (20.9% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×+-commutative_binary64
1×mul-1-neg_binary64
1×sub-neg_binary64
1×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01630
12029
22127
32427
42527
52627
62627

end1.0ms (0%)

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample785.0ms (36.2%)

Algorithm
1×intervals
Results
545.0ms8000×body128valid
0.0ms7×body128nan
Compiler

Compiled 79 to 60 computations (24.1% saved)

Profiling

Loading profile data...