Details

Time bar (total: 5.6s)

analyze6.0ms (0.1%)

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 22 to 17 computations (22.7% saved)

sample1.2s (20.6%)

Results
1.0s8256×body128valid
0.0msbody128invalid
Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify118.0ms (2.1%)

Algorithm
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 (0.1%)

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
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)

localize9.0ms (0.2%)

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)))

series42.0ms (0.7%)

Counts
4 → 48
Calls

4 calls:

25.0ms
(/.f64 (/.f64 -4/3 (*.f64 (PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
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))

rewrite42.0ms (0.7%)

Algorithm
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:

5.0ms
(/.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))

simplify159.0ms (2.8%)

Algorithm
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

prune189.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2252227
Fresh101
Picked101
Done000
Total2272229
Error
0b
Counts
229 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (*.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) -4/3)))
0.0b
(/.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 6655 to 4972 computations (25.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series47.0ms (0.8%)

Counts
3 → 36
Calls

3 calls:

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

rewrite27.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
61×add-exp-log_binary64
39×times-frac_binary64
35×add-cbrt-cube_binary64
33×*-un-lft-identity_binary64
33×add-sqr-sqrt_binary64
Counts
3 → 129
Calls

3 calls:

7.0ms
(*.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) -4/3))
6.0ms
(/.f64 1 (*.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) -4/3)))
3.0ms
(/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) -4/3)

simplify186.0ms (3.3%)

Algorithm
egg-herbie
Rules
391×fma-neg_binary64
281×associate-*l*_binary64
274×associate-*r*_binary64
233×associate-/r*_binary64
222×fma-def_binary64
Counts
165 → 229
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03895878
111155112
243295108
349555108
449885108
549275108

prune228.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2620262
Fresh011
Picked011
Done000
Total2622264
Error
0b
Counts
264 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (*.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) -4/3)))
0.0b
(/.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 8305 to 6376 computations (23.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series40.0ms (0.7%)

Counts
3 → 36
Calls

3 calls:

30.0ms
(/.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
6.0ms
(/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1))))
3.0ms
(/.f64 -4/3 (fma.f64 v v -1))

rewrite359.0ms (6.4%)

Algorithm
rewrite-expression-head
Rules
3537×times-frac_binary64
1522×*-un-lft-identity_binary64
1522×add-sqr-sqrt_binary64
1522×add-cube-cbrt_binary64
414×sqrt-prod_binary64
Counts
3 → 1227
Calls

3 calls:

35.0ms
(/.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
13.0ms
(/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1))))
2.0ms
(/.f64 -4/3 (fma.f64 v v -1))

simplify1.1s (20.2%)

Algorithm
egg-herbie
Rules
586×associate-/r*_binary64
484×associate-*r/_binary64
452×associate-/l*_binary64
372×associate-/r/_binary64
320×associate-/l/_binary64
Counts
1263 → 1533
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085663353
1229159535
2519959535

prune1.6s (29%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New157101571
Fresh000
Picked011
Done011
Total157121573
Error
0b
Counts
1573 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 1 (*.f64 (*.f64 (PI.f64) (fma.f64 v v -1)) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)) -4/3)))
0.0b
(/.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 -4/3 (fma.f64 v v -1)))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 62057 to 45959 computations (25.9% saved)

regimes154.0ms (2.7%)

Accuracy

Total 0.0b remaining (48.6%)

Threshold costs 0.0b (48.6%)

Counts
36 → 1
Compiler

Compiled 2584 to 2046 computations (20.8% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01627
12127
22027

end64.0ms (1.1%)

Compiler

Compiled 76 to 60 computations (21.1% saved)

Profiling

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