Details

Time bar (total: 3.9s)

analyze19.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample13.0ms (0.3%)

Algorithm
intervals
Results
5.0ms234×body128valid
1.0msbody1024valid
1.0msbody2048valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify172.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0797
1797

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 24 to 24 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 x (*.f64 (/.f64 3 8) y))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7686
sub-neg_binary64_7640 diff-log_binary64_7739 add-cbrt-cube_binary64_7683 *-un-lft-identity_binary64_7647 flip--_binary64_7622 flip3--_binary64_7651 cancel-sign-sub-inv_binary64_7613 add-exp-log_binary64_7685 pow1_binary64_7708 add-sqr-sqrt_binary64_7669 add-cube-cbrt_binary64_7682
Counts
1 → 12
Calls

1 calls:

4.0ms
(-.f64 x (*.f64 (/.f64 3 8) y))

series37.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

37.0ms
(-.f64 x (*.f64 (/.f64 3 8) y))

simplify84.0ms (2.2%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05143165

prune38.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.1b

Counts
16 → 4
Compiler

Compiled 313 to 239 computations (23.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite28.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_7678
23×add-sqr-sqrt_binary64_7669
18×cbrt-div_binary64_7679
15×*-un-lft-identity_binary64_7647 add-cube-cbrt_binary64_7682
11×pow1_binary64_7708
flip--_binary64_7622 flip3--_binary64_7651 pow1/3_binary64_7729
swap-sqr_binary64_7614 associate-*l*_binary64_7588 add-exp-log_binary64_7685 associate-*r*_binary64_7587
add-cbrt-cube_binary64_7683 unswap-sqr_binary64_7615 add-log-exp_binary64_7686 frac-times_binary64_7657
pow-prod-down_binary64_7718 pow-sqr_binary64_7620 associate-*r/_binary64_7589 associate-*l/_binary64_7590 pow-prod-up_binary64_7717
prod-exp_binary64_7696 cbrt-unprod_binary64_7680 pow2_binary64_7728 pow-plus_binary64_7710 *-commutative_binary64_7578
Counts
4 → 87
Calls

4 calls:

10.0ms
(*.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series935.0ms (24%)

Counts
4 → 12
Calls

4 calls:

255.0ms
(*.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
232.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
228.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
220.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify88.0ms (2.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
048001786
148001786

prune158.0ms (4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New97299
Fresh022
Picked101
Done011
Total985103

Merged error: 0.0b

Counts
103 → 5
Compiler

Compiled 2929 to 2151 computations (26.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_7678
*-un-lft-identity_binary64_7647 cbrt-div_binary64_7679 add-sqr-sqrt_binary64_7669 add-cube-cbrt_binary64_7682
add-cbrt-cube_binary64_7683 flip--_binary64_7622 flip3--_binary64_7651 add-exp-log_binary64_7685 pow1_binary64_7708 add-log-exp_binary64_7686 pow1/3_binary64_7729
Counts
4 → 52
Calls

4 calls:

3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series922.0ms (23.6%)

Counts
4 → 12
Calls

4 calls:

236.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
230.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
229.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
228.0ms
(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify106.0ms (2.7%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049401032
149401032

prune132.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh033
Picked011
Done011
Total63669

Merged error: 0.0b

Counts
69 → 6
Compiler

Compiled 2640 to 1981 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (*.f64 3/8 y))
0.0b
(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
0.0b
(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
0.2b
(*.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))

rewrite30.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64_7669
24×sqrt-prod_binary64_7663
21×pow1_binary64_7708
16×sqrt-div_binary64_7664
14×*-un-lft-identity_binary64_7647 add-cube-cbrt_binary64_7682
10×pow1/2_binary64_7727 sqrt-pow1_binary64_7665
flip--_binary64_7622 flip3--_binary64_7651
swap-sqr_binary64_7614
add-cbrt-cube_binary64_7683 associate-*l*_binary64_7588 add-exp-log_binary64_7685 add-log-exp_binary64_7686 associate-*r*_binary64_7587
pow-prod-up_binary64_7717
unswap-sqr_binary64_7615 rem-sqrt-square_binary64_7660 frac-times_binary64_7657
pow-prod-down_binary64_7718 pow-sqr_binary64_7620
associate-*r/_binary64_7589 associate-*l/_binary64_7590
sub-neg_binary64_7640 diff-log_binary64_7739 prod-exp_binary64_7696 rem-square-sqrt_binary64_7659 cancel-sign-sub-inv_binary64_7613 cbrt-unprod_binary64_7680 sqrt-unprod_binary64_7667 sqr-abs_binary64_7662 pow2_binary64_7728 pow-plus_binary64_7710 *-commutative_binary64_7578
Counts
4 → 100
Calls

4 calls:

12.0ms
(*.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms
(-.f64 x (*.f64 3/8 y))
3.0ms
(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms
(sqrt.f64 (-.f64 x (*.f64 3/8 y)))

series232.0ms (6%)

Counts
4 → 12
Calls

4 calls:

79.0ms
(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
75.0ms
(sqrt.f64 (-.f64 x (*.f64 3/8 y)))
43.0ms
(*.f64 (sqrt.f64 (-.f64 x (*.f64 3/8 y))) (sqrt.f64 (-.f64 x (*.f64 3/8 y))))
34.0ms
(-.f64 x (*.f64 3/8 y))

simplify83.0ms (2.1%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
048931530
148931530

prune130.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh033
Picked011
Done022
Total1108118

Merged error: 0.0b

Counts
118 → 8
Compiler

Compiled 2284 to 1651 computations (27.7% saved)

regimes81.0ms (2.1%)

Compiler

Compiled 732 to 602 computations (17.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0357
1357

end0.0ms (0%)

sample554.0ms (14.2%)

Algorithm
intervals
Results
180.0ms7419×body128valid
16.0ms202×body1024valid
15.0ms150×body2048valid
9.0ms149×body512valid
3.0ms80×body256valid
Compiler

Compiled 189 to 157 computations (16.9% saved)

Profiling

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