Details

Time bar (total: 4.4s)

analyze1.3s (28.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%96.7%3.3%9
0%96.7%3.3%10
0%96.7%3.3%11
0%95.2%4.8%12
0%95.2%4.8%13
0%95.2%4.8%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.4s (30.7%)

Symmetry

(sort x y)

Results
983.0ms8256×body128valid
291.0ms582×body8192exit
14.0ms150×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify61.0ms (1.4%)

Algorithm
egg-herbie
Rules
299×fma-def_binary64
231×associate-*r*_binary64
229×associate-+r+_binary64
177×distribute-rgt-in_binary64
174×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11510
22910
34210
47910
515610
630310
772910
8193410
9216610
10227410
11227610

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (*.f64 (*.f64 x 3) y) z)
Compiler

Compiled 37 to 25 computations (32.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.3b
(*.f64 (*.f64 x 3) y)

series16.0ms (0.4%)

Counts
2 → 60
Calls

2 calls:

9.0ms
(*.f64 (*.f64 x 3) y)
7.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

6.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
4.0ms
(*.f64 (*.f64 x 3) y)

simplify350.0ms (7.9%)

Algorithm
egg-herbie
Rules
838×fma-def_binary64
428×*-commutative_binary64
286×distribute-rgt-in_binary64
280×distribute-lft-in_binary64
233×cancel-sign-sub-inv_binary64
Counts
100 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094949
1225920
2795908
32110908
45086908

prune56.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New58664
Fresh000
Picked101
Done000
Total59665
Error
0.0b
Counts
65 → 6
Alt Table
StatusErrorProgram
16.4b
(-.f64 (*.f64 (*.f64 x (*.f64 3 (sqrt.f64 y))) (sqrt.f64 y)) z)
26.8b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) (sqrt.f64 (*.f64 (*.f64 x 3) y))) z)
0.5b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) z)
1.0b
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 (neg.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.1b
(-.f64 (*.f64 3 (*.f64 y x)) z)
Compiler

Compiled 1021 to 627 computations (38.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 3 (*.f64 y x)) z)
0.3b
(*.f64 3 (*.f64 y x))

series12.0ms (0.3%)

Counts
2 → 9
Calls

2 calls:

7.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
5.0ms
(*.f64 3 (*.f64 y x))

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

4.0ms
(-.f64 (*.f64 3 (*.f64 y x)) z)
4.0ms
(*.f64 3 (*.f64 y x))

simplify185.0ms (4.2%)

Algorithm
egg-herbie
Rules
761×fma-def_binary64
360×*-commutative_binary64
275×distribute-rgt-in_binary64
274×distribute-lft-in_binary64
227×cancel-sign-sub-inv_binary64
Counts
49 → 54
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089509
1209480
2693468
31866468
44614468

prune55.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52254
Fresh235
Picked101
Done000
Total55560
Error
0.0b
Counts
60 → 5
Alt Table
StatusErrorProgram
16.4b
(-.f64 (*.f64 (*.f64 x (*.f64 3 (sqrt.f64 y))) (sqrt.f64 y)) z)
0.1b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
1.0b
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 (neg.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(-.f64 (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y x))) z)
Compiler

Compiled 864 to 467 computations (45.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 3 (*.f64 y x) (neg.f64 z))

series13.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

13.0ms
(fma.f64 3 (*.f64 y x) (neg.f64 z))

rewrite1.0ms (0%)

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

1 calls:

0.0ms
(fma.f64 3 (*.f64 y x) (neg.f64 z))

simplify71.0ms (1.6%)

Algorithm
egg-herbie
Rules
927×distribute-lft-in_binary64
927×distribute-rgt-in_binary64
144×associate-*r*_binary64
144×associate-*l*_binary64
130×unsub-neg_binary64
Counts
46 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021468
130447
261447
3262447
41303447

prune11.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh044
Picked011
Done000
Total16521
Error
0.0b
Counts
21 → 5
Alt Table
StatusErrorProgram
16.4b
(-.f64 (*.f64 (*.f64 x (*.f64 3 (sqrt.f64 y))) (sqrt.f64 y)) z)
0.1b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
1.0b
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 (neg.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(-.f64 (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y x))) z)
Compiler

Compiled 294 to 162 computations (44.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.3b
(*.f64 x (*.f64 3 y))

series23.0ms (0.5%)

Counts
2 → 60
Calls

2 calls:

13.0ms
(*.f64 x (*.f64 3 y))
9.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
2 → 40
Calls

2 calls:

4.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
4.0ms
(*.f64 x (*.f64 3 y))

simplify284.0ms (6.4%)

Algorithm
egg-herbie
Rules
838×fma-def_binary64
404×*-commutative_binary64
277×distribute-rgt-in_binary64
276×distribute-lft-in_binary64
252×fma-neg_binary64
Counts
100 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092947
1217918
2760906
32032906
44948906

prune115.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh033
Picked011
Done011
Total64569
Error
0.0b
Counts
69 → 5
Alt Table
StatusErrorProgram
16.4b
(-.f64 (*.f64 (*.f64 x (*.f64 3 (sqrt.f64 y))) (sqrt.f64 y)) z)
0.1b
(fma.f64 3 (*.f64 y x) (neg.f64 z))
1.0b
(+.f64 (*.f64 (*.f64 x 3) y) (*.f64 (neg.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z)))
0.1b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(-.f64 (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y x))) z)
Compiler

Compiled 900 to 508 computations (43.6% saved)

regimes390.0ms (8.8%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Counts
46 → 1
Compiler

Compiled 4474 to 3120 computations (30.3% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11310
21510
31610

soundness0.0ms (0%)

end96.0ms (2.2%)

Remove

(sort x y)

Compiler

Compiled 109 to 76 computations (30.3% saved)

Profiling

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