Details

Time bar (total: 2.6s)

analyze421.0ms (16.3%)

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
25%74.9%0.1%6
25%74.9%0.1%7
25%62.4%12.6%8
37.4%43.7%18.9%9
37.4%43.7%18.9%10
49.9%31.2%18.9%11
56.2%20.3%23.5%12
56.2%20.3%23.5%13
61.6%14.8%23.5%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0ms17×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify113.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
014212
114212

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 17.0b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

4.8b
(*.f64 (*.f64 (*.f64 a a) b) b)
11.5b
(*.f64 (*.f64 a a) b)

rewrite20.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
associate-*r*_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
unswap-sqr_binary64
Counts
2 → 40
Calls

2 calls:

8.0ms
(*.f64 (*.f64 a a) b)
8.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)

series52.0ms (2%)

Counts
2 → 6
Calls

2 calls:

27.0ms
(*.f64 (*.f64 a a) b)
25.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)

simplify55.0ms (2.1%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05066410

prune40.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New39746
Fresh000
Picked011
Done000
Total39847

Merged error: 0.1b

Counts
47 → 8
Compiler

Compiled 529 to 205 computations (61.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 pow-plus_binary64 unswap-sqr_binary64 prod-exp_binary64 sqr-abs_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
Counts
1 → 26
Calls

1 calls:

4.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

series23.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

23.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

simplify76.0ms (2.9%)

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05054209

prune26.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New26329
Fresh066
Picked011
Done011
Total261137

Merged error: 0.1b

Counts
37 → 11
Compiler

Compiled 376 to 188 computations (50% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.3b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
9.5b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-exp-log_binary64 sqrt-prod_binary64
unpow-prod-down_binary64
associate-*r*_binary64
pow1_binary64 associate-*l*_binary64 unswap-sqr_binary64
add-cbrt-cube_binary64
sqr-pow_binary64
pow-unpow_binary64 add-log-exp_binary64 prod-exp_binary64
pow-to-exp_binary64 pow1/2_binary64 pow-prod-up_binary64 sqrt-pow1_binary64 pow-exp_binary64
cbrt-unprod_binary64 pow-pow_binary64 rem-sqrt-square_binary64 *-commutative_binary64
Counts
3 → 63
Calls

3 calls:

7.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

series87.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

52.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
17.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
17.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))

simplify62.0ms (2.4%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
048791001
148791001

prune69.0ms (2.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New67572
Fresh448
Picked101
Done022
Total721183

Merged error: 0.0b

Counts
83 → 11
Compiler

Compiled 1317 to 513 computations (61% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (*.f64 (fabs.f64 (*.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
0.2b
(*.f64 (fabs.f64 (*.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
9.5b
(sqrt.f64 (fabs.f64 (*.f64 a b)))
9.5b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
25×pow1_binary64
19×add-sqr-sqrt_binary64
13×sqrt-prod_binary64
11×*-un-lft-identity_binary64 pow-prod-up_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
pow1/2_binary64 associate-*r*_binary64 sqrt-pow1_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
unswap-sqr_binary64 rem-sqrt-square_binary64 pow3_binary64 *-commutative_binary64
Counts
4 → 77
Calls

4 calls:

8.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (*.f64 (fabs.f64 (*.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
5.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

series124.0ms (4.8%)

Counts
4 → 12
Calls

4 calls:

70.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b))))
20.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (*.f64 (fabs.f64 (*.f64 a b)) (sqrt.f64 (fabs.f64 (*.f64 a b)))))
17.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))
17.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify47.0ms (1.8%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04967917
14967917

prune63.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh178
Picked101
Done022
Total9010100

Merged error: 0.0b

Counts
100 → 10
Compiler

Compiled 1530 to 338 computations (77.9% saved)

regimes301.0ms (11.7%)

Compiler

Compiled 2872 to 2077 computations (27.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01611
11611

end0.0ms (0%)

sample901.0ms (34.9%)

Algorithm
intervals
Results
234.0ms8000×body128valid
14.0ms518×body128invalid
Compiler

Compiled 476 to 348 computations (26.9% saved)

Profiling

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