Details

Time bar (total: 1.9s)

analyze6.0ms (0.3%)

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)

sample146.0ms (7.7%)

Algorithm
1×intervals
Results
18.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify119.0ms (6.3%)

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 (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
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)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)))

series16.0ms (0.9%)

Counts
3 → 36
Calls

3 calls:

8.0ms
(/.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))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
8×*-un-lft-identity_binary64
8×add-cube-cbrt_binary64
Counts
3 → 60
Calls

3 calls:

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))

simplify93.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
471×associate-/r*_binary64
371×associate-*l*_binary64
322×associate-*r*_binary64
304×fma-def_binary64
273×times-frac_binary64
Counts
96 → 114
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821691
14451508
213901488
346551488
449451488
549181488

prune92.0ms (4.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh101
Picked101
Done000
Total1142116
Error
0b
Counts
116 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
▶0.0b
(/.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 2705 to 1959 computations (27.6% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series12.0ms (0.6%)

Counts
2 → 24
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3))
4.0ms
(/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3)

rewrite14.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
36×times-frac_binary64
28×add-exp-log_binary64
20×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
Counts
2 → 81
Calls

2 calls:

5.0ms
(/.f64 1 (/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3))
3.0ms
(/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3)

simplify116.0ms (6.2%)

Algorithm
1×egg-herbie
Rules
517×fma-neg_binary64
382×cancel-sign-sub-inv_binary64
276×associate-/l*_binary64
255×associate-/r*_binary64
242×fma-def_binary64
Counts
105 → 127
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01452128
13371825
210171779
335781779
447851779
549991779
649271779

prune156.0ms (8.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1980198
Fresh011
Picked011
Done000
Total1982200
Error
0b
Counts
200 → 2
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
✓0.0b
(/.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 4914 to 3669 computations (25.3% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.4%)

Counts
2 → 12
Calls

2 calls:

7.0ms
(/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))
0.0ms
(/.f64 -4/3 (PI.f64))

rewrite13.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/l*_binary64
Counts
2 → 101
Calls

2 calls:

4.0ms
(/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1))
2.0ms
(/.f64 -4/3 (PI.f64))

simplify109.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
594×fma-neg_binary64
449×cancel-sign-sub-inv_binary64
405×associate-/r*_binary64
332×associate-/l/_binary64
269×times-frac_binary64
Counts
113 → 138
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02062506
14752397
211712395
333582394
445402394
550142394

prune125.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1760176
Fresh000
Picked011
Done011
Total1762178
Error
0b
Counts
178 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (/.f64 (/.f64 -4/3 (PI.f64)) (fma.f64 v v -1)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
✓0.0b
(/.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) -4/3)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 4512 to 3234 computations (28.3% saved)

regimes75.0ms (3.9%)

Accuracy

Total 0.0b remaining (44.6%)

Threshold costs 0.0b (44.6%)

Counts
22 → 1
Compiler

Compiled 1536 to 1230 computations (19.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
12027
21927

end1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample749.0ms (39.6%)

Algorithm
1×intervals
Results
523.0ms8000×body128valid
Compiler

Compiled 78 to 61 computations (21.8% saved)

Profiling

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