Details

Time bar (total: 3.5s)

analyze18.0ms (0.5%)

Algorithm
1×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 6 to 6 computations (0% saved)

sample17.0ms (0.5%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (/.f64 y 500))

rewrite7.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity_binary64 add-log-exp_binary64
1×flip3-+_binary64 pow1_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 12
Calls

1 calls:

6.0ms
(+.f64 x (/.f64 y 500))

series35.0ms (1%)

Counts
1 → 3
Calls

1 calls:

35.0ms
(+.f64 x (/.f64 y 500))

simplify62.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05503164

prune22.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4
Compiler

Compiled 274 to 214 computations (21.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (+.f64 x (/.f64 y 500))))
0.6b
(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.6b
(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.6b
(cbrt.f64 (+.f64 x (/.f64 y 500)))

rewrite48.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
36×cbrt-prod_binary64
35×*-un-lft-identity_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×add-cube-cbrt_binary64
11×pow1_binary64
9×flip3-+_binary64 swap-sqr_binary64 distribute-lft-out_binary64 pow1/3_binary64 flip-+_binary64
7×associate-*r*_binary64 associate-*l*_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 95
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (+.f64 x (/.f64 y 500))))
7.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
6.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))

series974.0ms (27.6%)

Counts
4 → 12
Calls

4 calls:

290.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (+.f64 x (/.f64 y 500))))
230.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
228.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
225.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))

simplify103.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
048061936
148061936

prune151.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0.0b

Counts
111 → 4
Compiler

Compiled 2821 to 2061 computations (26.9% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 y 500))
0.0b
(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.0b
(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.3b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))

rewrite52.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity_binary64 sqrt-prod_binary64
30×add-sqr-sqrt_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×add-cube-cbrt_binary64
11×swap-sqr_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
9×flip3-+_binary64 distribute-lft-out_binary64 flip-+_binary64
7×associate-*r*_binary64 associate-*l*_binary64
6×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
5×pow-prod-up_binary64
4×unswap-sqr_binary64 rem-sqrt-square_binary64 frac-times_binary64
3×pow-prod-down_binary64 pow-sqr_binary64
2×associate-*r/_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 sqr-abs_binary64 +-commutative_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 107
Calls

4 calls:

22.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))
7.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
7.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
7.0ms
(+.f64 x (/.f64 y 500))

series215.0ms (6.1%)

Counts
4 → 12
Calls

4 calls:

66.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
64.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
52.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))
32.0ms
(+.f64 x (/.f64 y 500))

simplify67.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051181666

prune116.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh101
Picked101
Done022
Total1203123

Merged error: 0b

Counts
123 → 3
Compiler

Compiled 2071 to 1468 computations (29.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500)))))
0.2b
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))))
0.3b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))))))
0.6b
(cbrt.f64 (+.f64 x (/.f64 y 500)))

rewrite86.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
52×cbrt-div_binary64
44×sqrt-div_binary64
35×flip3-+_binary64 flip-+_binary64
32×frac-times_binary64
31×cbrt-prod_binary64
28×add-sqr-sqrt_binary64
24×*-un-lft-identity_binary64
16×associate-*r/_binary64
14×add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-prod_binary64
11×pow1_binary64 associate-*r*_binary64 add-exp-log_binary64
10×associate-*l/_binary64
7×add-cbrt-cube_binary64
6×unswap-sqr_binary64
5×pow-prod-down_binary64 distribute-lft-out_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 pow1/3_binary64 prod-exp_binary64
2×*-commutative_binary64
1×rem-3cbrt-lft_binary64 pow3_binary64
Counts
4 → 124
Calls

4 calls:

32.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))))))
20.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500)))))
7.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
7.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))))

series757.0ms (21.5%)

Counts
4 → 12
Calls

4 calls:

230.0ms
(cbrt.f64 (+.f64 x (/.f64 y 500)))
187.0ms
(*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500)))))
186.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))))))
154.0ms
(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))))

simplify85.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049364738
149364738

prune243.0ms (6.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0b

Counts
139 → 3
Compiler

Compiled 4586 to 3251 computations (29.1% saved)

regimes43.0ms (1.2%)

Compiler

Compiled 204 to 178 computations (12.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample385.0ms (10.9%)

Algorithm
1×intervals
Results
165.0ms8000×body128valid
Compiler

Compiled 57 to 51 computations (10.5% saved)

Profiling

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