Details

Time bar (total: 2.3s)

analyze159.0ms (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
25%74.9%0.1%5
25%62.4%12.6%6
25%40.6%34.4%7
25%32.8%42.2%8
25%23.4%51.6%9
28.1%18%54%10
31.6%11.5%56.9%11
33.4%8.9%57.8%12
35.2%5.7%59.1%13
36.1%4.4%59.4%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (49.2%)

Results
971.0ms8256×body128valid
40.0ms340×body128invalid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify60.0ms (2.6%)

Algorithm
egg-herbie
Rules
741×neg-mul-1_binary64
643×distribute-rgt-neg-in_binary64
432×unswap-sqr_binary64
377×fma-def_binary64
290×*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11510
23610
37610
420610
568110
6182310
7304410
8481310
9536110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series14.0ms (0.6%)

Counts
1 → 6
Calls

1 calls:

14.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
56×unpow-prod-down_binary64
49×prod-diff_binary64
45×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
33×add-cube-cbrt_binary64
Counts
1 → 87
Calls

1 calls:

7.0ms
(-.f64 (pow.f64 x 4) (pow.f64 y 4))

simplify114.0ms (5%)

Algorithm
egg-herbie
Rules
816×fma-def_binary64
452×fma-neg_binary64
444×difference-of-squares_binary64
254×distribute-rgt-in_binary64
240×sqr-pow_binary64
Counts
93 → 96
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01424586
12553379
27171542
312911032
429961026
548501026
647171026

prune94.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh000
Picked011
Done000
Total95297
Error
0b
Counts
97 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.5b
(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4))))
Compiler

Compiled 2778 to 2030 computations (26.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4))))
0.1b
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4)))
0.3b
(*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))
22.5b
(cbrt.f64 (pow.f64 y 4))

series82.0ms (3.6%)

Counts
4 → 60
Calls

4 calls:

32.0ms
(cbrt.f64 (pow.f64 y 4))
29.0ms
(*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))
18.0ms
(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4))))
3.0ms
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4)))

rewrite28.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod_binary64
55×add-sqr-sqrt_binary64
30×unpow-prod-down_binary64
24×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
Counts
4 → 138
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))
6.0ms
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4)))
5.0ms
(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4))))
1.0ms
(cbrt.f64 (pow.f64 y 4))

simplify156.0ms (6.8%)

Algorithm
egg-herbie
Rules
1466×fma-neg_binary64
537×log-prod_binary64
454×cancel-sign-sub-inv_binary64
452×unsub-neg_binary64
393×sqr-pow_binary64
Counts
198 → 193
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01482245
13072068
211091948
325491892
435681535
530491521
643281521
748871521

prune274.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2350235
Fresh000
Picked011
Done011
Total2352237
Error
0b
Counts
237 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.5b
(+.f64 (pow.f64 x 4) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (pow.f64 y 4)) (cbrt.f64 (pow.f64 y 4)))) (cbrt.f64 (pow.f64 y 4))))
Compiler

Compiled 5781 to 4538 computations (21.5% saved)

regimes84.0ms (3.7%)

Accuracy

Total 0.0b remaining (22.2%)

Threshold costs 0.0b (22.2%)

Counts
12 → 1
Compiler

Compiled 1505 to 1213 computations (19.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1910
21410
31610
41710
51710

end55.0ms (2.4%)

Compiler

Compiled 48 to 38 computations (20.8% saved)

Profiling

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