Details

Time bar (total: 2.2s)

analyze162.0ms (7.3%)

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)

sample27.0ms (1.2%)

Algorithm
1×intervals
Results
20.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify128.0ms (5.8%)

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

Compiled 113 to 85 computations (24.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series42.0ms (1.9%)

Counts
4 → 48
Calls

4 calls:

27.0ms
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
6.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
5.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
3.0ms
(*.f64 (PI.f64) (fma.f64 v v -1))

rewrite21.0ms (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)))
3.0ms
(/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1)))
3.0ms
(*.f64 (PI.f64) (fma.f64 v v -1))
1.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))

simplify161.0ms (7.3%)

Algorithm
1×egg-herbie
Rules
880×fma-def_binary64
306×associate-/r*_binary64
254×sub-neg_binary64
223×fma-neg_binary64
173×associate-*r*_binary64
Counts
182 → 227
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03865649
110285260
236165237
347985236
449555236

prune193.0ms (8.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2270227
Fresh011
Picked011
Done000
Total2272229
Error
0b
Counts
229 → 2
Alt Table
StatusErrorProgram
▶1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
✓0.0b
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 6638 to 4957 computations (25.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 2 (*.f64 6 (*.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)))))
✓0.1b
(*.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))))))

series51.0ms (2.3%)

Counts
4 → 48
Calls

4 calls:

27.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
16.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
5.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))
3.0ms
(*.f64 6 (*.f64 v v))

rewrite38.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
32×add-cbrt-cube_binary64
32×add-exp-log_binary64
19×pow1_binary64
16×associate-*r/_binary64
15×cbrt-unprod_binary64
Counts
4 → 107
Calls

4 calls:

13.0ms
(*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v)))))
10.0ms
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
4.0ms
(*.f64 6 (*.f64 v v))
2.0ms
(sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))

simplify125.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
401×associate-*l*_binary64
387×associate-*r*_binary64
378×fma-neg_binary64
290×associate-/r*_binary64
228×fma-def_binary64
Counts
155 → 237
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04205211
112024683
248754683
351284683

prune173.0ms (7.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2370237
Fresh000
Picked011
Done011
Total2372239
Error
0b
Counts
239 → 2
Alt Table
StatusErrorProgram
✓1.0b
(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))
✓0.0b
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 8345 to 5967 computations (28.5% saved)

regimes197.0ms (8.9%)

Accuracy

Total 0.0b remaining (53.8%)

Threshold costs 0.0b (53.8%)

Counts
26 → 1
Compiler

Compiled 2086 to 1651 computations (20.9% saved)

simplify3.0ms (0.1%)

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)

sample859.0ms (38.9%)

Algorithm
1×intervals
Results
616.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 79 to 60 computations (24.1% saved)

Profiling

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