Details

Time bar (total: 2.5s)

analyze140.0ms (5.6%)

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)

sample25.0ms (1%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify125.0ms (5%)

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 → 1
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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 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 93 to 71 computations (23.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite175.0ms (7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×add-cube-cbrt_binary64
26×add-exp-log_binary64
23×pow1_binary64
22×add-sqr-sqrt_binary64
22×add-cbrt-cube_binary64
Counts
4 → 171
Calls

4 calls:

15.0ms
(*.f64 PI.f64 (fma.f64 v v -1))
15.0ms
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
13.0ms
(/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1)))
11.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
Compiler

Compiled 3356 to 2384 computations (29% saved)

series74.0ms (3%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

22.0ms
(/.f64 (/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
12.0ms
(/.f64 -4/3 (*.f64 PI.f64 (fma.f64 v v -1)))
11.0ms
(*.f64 PI.f64 (fma.f64 v v -1))
10.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
Compiler

Compiled 1323 to 1082 computations (18.2% saved)

simplify134.0ms (5.4%)

Algorithm
egg-herbie
Rules
638×fma-def_binary64
402×fma-neg_binary64
195×cancel-sign-sub-inv_binary64
182×unswap-sqr_binary64
152×associate-*r*_binary64
Counts
195 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02713106
16732799
224822734
347592734
449792734

prune50.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh101
Picked101
Done000
Total82284
Error
0b
Counts
84 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (neg.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 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 1408 to 1001 computations (28.9% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite190.0ms (7.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
52×add-cube-cbrt_binary64
24×add-cbrt-cube_binary64
22×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×pow1_binary64
Counts
4 → 183
Calls

4 calls:

16.0ms
(/.f64 (/.f64 4/3 PI.f64) (fma.f64 v v -1))
14.0ms
(/.f64 (neg.f64 (/.f64 (/.f64 4/3 PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
13.0ms
(/.f64 4/3 PI.f64)
12.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
Compiler

Compiled 3955 to 2894 computations (26.8% saved)

series61.0ms (2.4%)

Error
0b
Counts
4 → 18
Calls

4 calls:

22.0ms
(/.f64 (neg.f64 (/.f64 (/.f64 4/3 PI.f64) (fma.f64 v v -1))) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
12.0ms
(/.f64 (/.f64 4/3 PI.f64) (fma.f64 v v -1))
11.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
0.0ms
(/.f64 4/3 PI.f64)
Compiler

Compiled 1170 to 969 computations (17.2% saved)

simplify125.0ms (5%)

Algorithm
egg-herbie
Rules
622×fma-def_binary64
207×cancel-sign-sub-inv_binary64
196×times-frac_binary64
183×associate-/r*_binary64
150×associate-/l*_binary64
Counts
201 → 86
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02893238
17032916
228552859
349582859
449532859

prune53.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done000
Total86288
Error
0b
Counts
88 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (neg.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 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 1740 to 1257 computations (27.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite174.0ms (7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
52×add-cube-cbrt_binary64
26×add-exp-log_binary64
24×add-cbrt-cube_binary64
18×add-sqr-sqrt_binary64
16×pow1_binary64
Counts
4 → 173
Calls

4 calls:

15.0ms
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64)
13.0ms
(/.f64 -4/3 (fma.f64 v v -1))
13.0ms
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
11.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
Compiler

Compiled 3529 to 2537 computations (28.1% saved)

series67.0ms (2.7%)

Error
0b
Counts
4 → 24
Calls

4 calls:

21.0ms
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
10.0ms
(/.f64 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64)
9.0ms
(sqrt.f64 (fma.f64 v (*.f64 v -6) 2))
8.0ms
(/.f64 -4/3 (fma.f64 v v -1))
Compiler

Compiled 1393 to 1145 computations (17.8% saved)

simplify96.0ms (3.8%)

Algorithm
egg-herbie
Rules
660×associate-/l/_binary64
629×fma-def_binary64
174×associate-/r*_binary64
166×times-frac_binary64
136×associate-/l*_binary64
Counts
197 → 71
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02713089
16362834
224772749
353272749

prune43.0ms (1.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh000
Picked011
Done011
Total71273
Error
0b
Counts
73 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (neg.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 (/.f64 -4/3 (fma.f64 v v -1)) PI.f64) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))
Compiler

Compiled 1281 to 911 computations (28.9% saved)

regimes151.0ms (6%)

Accuracy

Total 0.0b remaining (33.3%)

Threshold costs 0.0b (33.3%)

Compiler

Compiled 3072 to 2423 computations (21.1% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01526
12324
23224
33724
43924
53824

end1.0ms (0%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample768.0ms (30.8%)

Algorithm
intervals
Results
541.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 75 to 58 computations (22.7% saved)

Profiling

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