Details

Time bar (total: 2.2s)

analyze289.0ms (12.8%)

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
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14
Compiler

Compiled 16 to 9 computations (43.8% saved)

sample19.0ms (0.8%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04013
14013

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 57 to 40 computations (29.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite24.0ms (1.1%)

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

series224.0ms (9.9%)

Counts
3 → 9
Calls

3 calls:

87.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
76.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
61.0ms
(+.f64 (*.f64 x y) (*.f64 z z))

simplify65.0ms (2.9%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05052767

prune81.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42547
Fresh011
Picked101
Done000
Total43649

Merged error: 0.0b

Counts
49 → 6
Compiler

Compiled 1698 to 697 computations (59% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
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-+r+_binary64
associate-+l+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
Counts
2 → 26
Calls

2 calls:

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

series168.0ms (7.5%)

Counts
2 → 6
Calls

2 calls:

88.0ms
(+.f64 (*.f64 x y) (*.f64 z (+.f64 z z)))
80.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z (+.f64 z z))) (*.f64 z z))

simplify62.0ms (2.8%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05146560

prune31.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh145
Picked011
Done000
Total32638

Merged error: 0.0b

Counts
38 → 6
Compiler

Compiled 784 to 276 computations (64.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 add-sqr-sqrt_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64
flip3-+_binary64 associate-*l*_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 30
Calls

2 calls:

8.0ms
(*.f64 (*.f64 z z) 3)
4.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) 3))

series120.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

85.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) 3))
35.0ms
(*.f64 (*.f64 z z) 3)

simplify71.0ms (3.1%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04926435
14926435

prune75.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New34236
Fresh134
Picked011
Done011
Total35742

Merged error: 0.0b

Counts
42 → 7
Compiler

Compiled 1341 to 771 computations (42.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
0.2b
(*.f64 z (*.f64 z 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 z (*.f64 z 3))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))

series121.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

77.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
44.0ms
(*.f64 z (*.f64 z 3))

simplify94.0ms (4.2%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04909419
14909419

prune38.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh044
Picked011
Done022
Total35742

Merged error: 0.0b

Counts
42 → 7
Compiler

Compiled 723 to 425 computations (41.2% saved)

regimes83.0ms (3.7%)

Compiler

Compiled 623 to 429 computations (31.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample600.0ms (26.7%)

Algorithm
intervals
Results
257.0ms8000×body128valid
15.0ms473×body128invalid
Compiler

Compiled 155 to 107 computations (31% saved)

Profiling

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