Details

Time bar (total: 2.3s)

analyze270.0ms (11.8%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.4%11.4%12
61.3%24.7%14%13
65%19.9%15.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify9.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02910
12910

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64 associate-+r+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 36
Calls

2 calls:

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

series102.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(*.f64 y (+.f64 z x))
51.0ms
(+.f64 x (*.f64 y (+.f64 z x)))

simplify64.0ms (2.8%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05075467

prune34.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343

Merged error: 0b

Counts
43 → 3
Compiler

Compiled 621 to 210 computations (66.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite16.0ms (0.7%)

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)

series625.0ms (27.3%)

Counts
4 → 12
Calls

4 calls:

170.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
156.0ms
(cbrt.f64 y)
151.0ms
(cbrt.f64 y)
148.0ms
(cbrt.f64 y)

simplify52.0ms (2.3%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05244563

prune66.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1474 to 433 computations (70.6% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 z x))
0.0b
(sqrt.f64 (+.f64 z x))
0.1b
(*.f64 y (sqrt.f64 (+.f64 z x)))
0.2b
(*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))

rewrite39.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
18×sqrt-div_binary64
17×add-sqr-sqrt_binary64 sqrt-prod_binary64
14×associate-*r*_binary64
13×pow1_binary64
11×add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-*r/_binary64
flip3-+_binary64 flip-+_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 associate-*l*_binary64 prod-exp_binary64 frac-times_binary64
pow1/2_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 rem-sqrt-square_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

13.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
8.0ms
(*.f64 y (sqrt.f64 (+.f64 z x)))
4.0ms
(sqrt.f64 (+.f64 z x))
3.0ms
(sqrt.f64 (+.f64 z x))

series277.0ms (12.1%)

Counts
4 → 12
Calls

4 calls:

102.0ms
(*.f64 (*.f64 y (sqrt.f64 (+.f64 z x))) (sqrt.f64 (+.f64 z x)))
89.0ms
(*.f64 y (sqrt.f64 (+.f64 z x)))
44.0ms
(sqrt.f64 (+.f64 z x))
42.0ms
(sqrt.f64 (+.f64 z x))

simplify78.0ms (3.4%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049571397
149571397

prune72.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done022
Total993102

Merged error: 0b

Counts
102 → 3
Compiler

Compiled 1811 to 476 computations (73.7% saved)

regimes39.0ms (1.7%)

Compiler

Compiled 156 to 122 computations (21.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample487.0ms (21.3%)

Algorithm
intervals
Results
208.0ms8000×body128valid
19.0ms648×body128invalid
Compiler

Compiled 49 to 39 computations (20.4% saved)

Profiling

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