Details

Time bar (total: 2.8s)

analyze411.0ms (14.7%)

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
0.0ms11×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify111.0ms (4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
014212
114212

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 17.7b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

7.8b
(*.f64 (*.f64 (*.f64 a a) b) b)
9.3b
(*.f64 (*.f64 a a) b)

rewrite20.0ms (0.7%)

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 (1.9%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(*.f64 (*.f64 a a) b)
26.0ms
(*.f64 (*.f64 (*.f64 a a) b) b)

simplify48.0ms (1.7%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05066410

prune50.0ms (1.8%)

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 531 to 206 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)))

rewrite6.0ms (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)))

series24.0ms (0.8%)

Counts
1 → 3
Calls

1 calls:

24.0ms
(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

simplify77.0ms (2.7%)

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05054209

prune28.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New25429
Fresh156
Picked011
Done011
Total261137

Merged error: 0.0b

Counts
37 → 11
Compiler

Compiled 388 to 190 computations (51% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.3b
(*.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)
9.7b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite15.0ms (0.5%)

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)))

series94.0ms (3.3%)

Counts
3 → 9
Calls

3 calls:

56.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
19.0ms
(*.f64 (sqrt.f64 (fabs.f64 (*.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
19.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify65.0ms (2.3%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
048791001
148791001

prune75.0ms (2.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New66672
Fresh448
Picked101
Done112
Total721183

Merged error: 0.0b

Counts
83 → 11
Compiler

Compiled 1342 to 533 computations (60.3% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/4) (pow.f64 (fabs.f64 (*.f64 a b)) 3/4))
5.2b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
5.2b
(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
9.7b
(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite24.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
24×unpow-prod-down_binary64
18×add-exp-log_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
12×sqr-pow_binary64
unswap-sqr_binary64 prod-exp_binary64
pow-to-exp_binary64 pow-exp_binary64
pow1_binary64 swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64
pow-unpow_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
sqrt-prod_binary64
pow-pow_binary64
pow-prod-down_binary64 pow1/2_binary64 cbrt-unprod_binary64 pow-prod-up_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 99
Calls

4 calls:

10.0ms
(*.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/4) (pow.f64 (fabs.f64 (*.f64 a b)) 3/4))
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
2.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
1.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

series180.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

66.0ms
(*.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/4) (pow.f64 (fabs.f64 (*.f64 a b)) 3/4))
48.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
48.0ms
(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
18.0ms
(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify98.0ms (3.5%)

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
048871514
148871514

prune107.0ms (3.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh099
Picked011
Done011
Total11012122

Merged error: 0.0b

Counts
122 → 12
Compiler

Compiled 2484 to 927 computations (62.7% saved)

regimes320.0ms (11.4%)

Compiler

Compiled 3284 to 2290 computations (30.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04812
14812

end0.0ms (0%)

sample942.0ms (33.6%)

Algorithm
intervals
Results
236.0ms8000×body128valid
14.0ms516×body128invalid
Compiler

Compiled 544 to 380 computations (30.1% saved)

Profiling

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