Details

Time bar (total: 2.5s)

analyze66.0ms (2.6%)

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%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03813
13813

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 57 to 35 computations (38.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.2b
(*.f64 y (*.f64 y 3))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
flip3-+_binary64 associate-*r*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 y 3))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))

series86.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
36.0ms
(*.f64 y (*.f64 y 3))

simplify83.0ms (3.3%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04858410
14858410

prune55.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh011
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4
Compiler

Compiled 905 to 560 computations (38.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

rewrite25.0ms (1%)

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64
10×sum-log_binary64
flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
associate-+l+_binary64
Counts
3 → 38
Calls

3 calls:

10.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
7.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series141.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

52.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
47.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
42.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify67.0ms (2.6%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05005758

prune51.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh022
Picked011
Done011
Total45651

Merged error: 0.0b

Counts
51 → 6
Compiler

Compiled 1207 to 391 computations (67.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))) (*.f64 y y))
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))))
4.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
4.8b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))

rewrite49.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
24×sqrt-prod_binary64
21×pow1_binary64
16×sqrt-div_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow1/2_binary64 sqrt-pow1_binary64
flip3-+_binary64 flip-+_binary64
swap-sqr_binary64
add-log-exp_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-up_binary64
unswap-sqr_binary64 rem-sqrt-square_binary64 frac-times_binary64
pow-prod-down_binary64 pow-sqr_binary64
associate-*r/_binary64 associate-*l/_binary64
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 → 99
Calls

4 calls:

14.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))))
14.0ms
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))) (*.f64 y y))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))

series224.0ms (8.8%)

Counts
4 → 12
Calls

4 calls:

60.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
57.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))
54.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))))
52.0ms
(+.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))) (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))))) (*.f64 y y))

simplify97.0ms (3.8%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
048982032
148982032

prune100.0ms (3.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh033
Picked011
Done022
Total1116117

Merged error: 0.0b

Counts
117 → 6
Compiler

Compiled 3024 to 600 computations (80.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)
0.5b
(cbrt.f64 y)

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series656.0ms (25.8%)

Counts
4 → 12
Calls

4 calls:

182.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
166.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 y)
152.0ms
(cbrt.f64 y)

simplify54.0ms (2.1%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05244563

prune102.0ms (4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New84185
Fresh112
Picked011
Done033
Total85691

Merged error: 0.0b

Counts
91 → 6
Compiler

Compiled 2117 to 955 computations (54.9% saved)

regimes78.0ms (3.1%)

Compiler

Compiled 566 to 344 computations (39.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample510.0ms (20.1%)

Algorithm
intervals
Results
238.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 140 to 86 computations (38.6% saved)

Profiling

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