Details

Time bar (total: 3.2s)

analyze1.5s (47.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.2%98.5%0.3%13
1.8%97.9%0.3%14
Compiler

Compiled 18 to 18 computations (0% saved)

sample48.0ms (1.5%)

Algorithm
intervals
Results
20.0ms256×body128valid
8.0ms137×body128invalid
Compiler

Compiled 35 to 42 computations (-20% saved)

simplify157.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
093725
193725

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
0.0b
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite40.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64_6596
14×*-un-lft-identity_binary64_6557 cancel-sign-sub-inv_binary64_6523
associate-+l+_binary64_6490 add-sqr-sqrt_binary64_6579
add-cube-cbrt_binary64_6592
sum-log_binary64_6648 times-frac_binary64_6563
diff-log_binary64_6649
flip-+_binary64_6531 add-cbrt-cube_binary64_6593 pow1_binary64_6618 add-exp-log_binary64_6595 flip3-+_binary64_6560
frac-sub_binary64_6566 sub-neg_binary64_6550 distribute-lft-out_binary64_6508 div-inv_binary64_6554 +-commutative_binary64_6487 distribute-lft-out--_binary64_6509 associate--l+_binary64_6494
flip--_binary64_6532 associate-+l-_binary64_6492 difference-of-squares_binary64_6526 flip3--_binary64_6561
Counts
3 → 60
Calls

3 calls:

18.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
6.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))

series1.2s (36%)

Counts
3 → 102
Calls

3 calls:

534.0ms
(+.f64 (-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
440.0ms
(-.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
181.0ms
(+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))
Compiler

Compiled 2163 to 2332 computations (-7.8% saved)

simplify75.0ms (2.3%)

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049853050
149853050

prune137.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1602162
Fresh000
Picked011
Done000
Total1603163
Error
0.0b
Counts
163 → 3
Compiler

Compiled 2905 to 1284 computations (55.8% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))) (cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))))
2.2b
(cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
2.2b
(cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
2.2b
(cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))

rewrite46.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_6588
23×add-sqr-sqrt_binary64_6579
18×cbrt-div_binary64_6589
15×add-cube-cbrt_binary64_6592 *-un-lft-identity_binary64_6557
11×pow1_binary64_6618
flip-+_binary64_6531 pow1/3_binary64_6639 flip3-+_binary64_6560
associate-*r*_binary64_6497 add-exp-log_binary64_6595 associate-*l*_binary64_6498 swap-sqr_binary64_6524
add-cbrt-cube_binary64_6593 frac-times_binary64_6567 unswap-sqr_binary64_6525 add-log-exp_binary64_6596
associate-*l/_binary64_6500 pow-prod-down_binary64_6628 associate-*r/_binary64_6499 pow-sqr_binary64_6530 pow-prod-up_binary64_6627
*-commutative_binary64_6488 prod-exp_binary64_6606 cbrt-unprod_binary64_6590 pow-plus_binary64_6620 pow2_binary64_6638
Counts
4 → 87
Calls

4 calls:

16.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))) (cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16))))
7.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))
5.0ms
(cbrt.f64 (+.f64 (*.f64 x y) (/.f64 (*.f64 z t) 16)))

series7.0ms (0.2%)

Compiler

Compiled 37 to 29 computations (21.6% saved)

end0.0ms (0%)

Profiling

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