Details

Time bar (total: 5.4s)

analyze1.3s (24.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.8%98%0.3%13
2.4%97.3%0.3%14
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample39.0ms (0.7%)

Algorithm
intervals
Results
16.0ms256×body128valid
6.0ms132×body128invalid
Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify170.0ms (3.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
08119
18119

prune9.0ms (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 69 to 62 computations (10.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 y z))
0.0b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
5.4b
(*.f64 (*.f64 a z) b)

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×add-log-exp_binary64_11814
pow1_binary64_11836 add-cbrt-cube_binary64_11811 add-exp-log_binary64_11813
sum-log_binary64_11866
add-cube-cbrt_binary64_11810 *-un-lft-identity_binary64_11775 add-sqr-sqrt_binary64_11797
pow-prod-down_binary64_11846 prod-exp_binary64_11824 cbrt-unprod_binary64_11808 associate-*r*_binary64_11715
flip3-+_binary64_11778 flip-+_binary64_11749 +-commutative_binary64_11705
associate-*l*_binary64_11716 *-commutative_binary64_11706 associate-+l+_binary64_11708
Counts
3 → 43
Calls

3 calls:

10.0ms
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
6.0ms
(*.f64 (*.f64 a z) b)
3.0ms
(+.f64 x (*.f64 y z))

series303.0ms (5.6%)

Counts
3 → 9
Calls

3 calls:

204.0ms
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
50.0ms
(*.f64 (*.f64 a z) b)
48.0ms
(+.f64 x (*.f64 y z))

simplify68.0ms (1.3%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04955743
14955743

prune58.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh011
Picked011
Done000
Total51354

Merged error: 0.0b

Counts
54 → 3
Compiler

Compiled 1354 to 436 computations (67.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.4b
(*.f64 (*.f64 a z) b)
15.0b
(cbrt.f64 (*.f64 (*.f64 a z) b))
15.0b
(cbrt.f64 (*.f64 (*.f64 a z) b))
15.0b
(cbrt.f64 (*.f64 (*.f64 a z) b))

rewrite23.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_11836 add-cbrt-cube_binary64_11811 add-exp-log_binary64_11813
add-cube-cbrt_binary64_11810 *-un-lft-identity_binary64_11775 add-sqr-sqrt_binary64_11797
add-log-exp_binary64_11814
cbrt-prod_binary64_11806 pow-prod-down_binary64_11846 prod-exp_binary64_11824 pow1/3_binary64_11857 cbrt-unprod_binary64_11808 associate-*r*_binary64_11715
associate-*l*_binary64_11716 *-commutative_binary64_11706
Counts
4 → 45
Calls

4 calls:

6.0ms
(*.f64 (*.f64 a z) b)
4.0ms
(cbrt.f64 (*.f64 (*.f64 a z) b))
4.0ms
(cbrt.f64 (*.f64 (*.f64 a z) b))
4.0ms
(cbrt.f64 (*.f64 (*.f64 a z) b))

series550.0ms (10.2%)

Counts
4 → 12
Calls

4 calls:

174.0ms
(cbrt.f64 (*.f64 (*.f64 a z) b))
170.0ms
(cbrt.f64 (*.f64 (*.f64 a z) b))
161.0ms
(cbrt.f64 (*.f64 (*.f64 a z) b))
45.0ms
(*.f64 (*.f64 a z) b)

simplify65.0ms (1.2%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04937574
14937574

prune55.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh011
Picked011
Done011
Total57360

Merged error: 0.0b

Counts
60 → 3
Compiler

Compiled 1910 to 253 computations (86.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))
0.0b
(+.f64 t (*.f64 z b))
2.9b
(*.f64 a (+.f64 t (*.f64 z b)))

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_11814 add-sqr-sqrt_binary64_11797
add-cube-cbrt_binary64_11810 pow1_binary64_11836 *-un-lft-identity_binary64_11775 add-cbrt-cube_binary64_11811 add-exp-log_binary64_11813
flip3-+_binary64_11778 flip-+_binary64_11749 associate-*l*_binary64_11716 associate-*r*_binary64_11715
distribute-rgt-in_binary64_11725 associate-*r/_binary64_11717 +-commutative_binary64_11705 sum-log_binary64_11866 associate-+r+_binary64_11707 distribute-lft-in_binary64_11724
pow-prod-down_binary64_11846 *-commutative_binary64_11706 prod-exp_binary64_11824 cbrt-unprod_binary64_11808 unswap-sqr_binary64_11743
Counts
3 → 46
Calls

3 calls:

6.0ms
(*.f64 a (+.f64 t (*.f64 z b)))
5.0ms
(+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))
3.0ms
(+.f64 t (*.f64 z b))

series289.0ms (5.4%)

Counts
3 → 9
Calls

3 calls:

129.0ms
(*.f64 a (+.f64 t (*.f64 z b)))
114.0ms
(+.f64 (*.f64 y z) (*.f64 a (+.f64 t (*.f64 z b))))
45.0ms
(+.f64 t (*.f64 z b))

simplify64.0ms (1.2%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04989794
14989794

prune70.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done022
Total53558

Merged error: 0.0b

Counts
58 → 5
Compiler

Compiled 1567 to 611 computations (61% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.9b
(*.f64 a (*.f64 (*.f64 (cbrt.f64 (+.f64 t (*.f64 z b))) (cbrt.f64 (+.f64 t (*.f64 z b)))) (cbrt.f64 (+.f64 t (*.f64 z b)))))
3.5b
(cbrt.f64 (+.f64 t (*.f64 z b)))
3.5b
(cbrt.f64 (+.f64 t (*.f64 z b)))
3.5b
(cbrt.f64 (+.f64 t (*.f64 z b)))

rewrite50.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
60×cbrt-div_binary64_11807
34×associate-*r/_binary64_11717
30×flip3-+_binary64_11778 flip-+_binary64_11749
28×frac-times_binary64_11785
14×associate-*l/_binary64_11718
13×pow1_binary64_11836 add-exp-log_binary64_11813
cbrt-prod_binary64_11806 add-cbrt-cube_binary64_11811
add-cube-cbrt_binary64_11810 *-un-lft-identity_binary64_11775 add-sqr-sqrt_binary64_11797
pow-prod-down_binary64_11846 prod-exp_binary64_11824 cbrt-unprod_binary64_11808
add-log-exp_binary64_11814
associate-*l*_binary64_11716 pow1/3_binary64_11857
*-commutative_binary64_11706 associate-*r*_binary64_11715
Counts
4 → 86
Calls

4 calls:

27.0ms
(*.f64 a (*.f64 (*.f64 (cbrt.f64 (+.f64 t (*.f64 z b))) (cbrt.f64 (+.f64 t (*.f64 z b)))) (cbrt.f64 (+.f64 t (*.f64 z b)))))
3.0ms
(cbrt.f64 (+.f64 t (*.f64 z b)))
3.0ms
(cbrt.f64 (+.f64 t (*.f64 z b)))
3.0ms
(cbrt.f64 (+.f64 t (*.f64 z b)))

series706.0ms (13.1%)

Counts
4 → 12
Calls

4 calls:

205.0ms
(cbrt.f64 (+.f64 t (*.f64 z b)))
193.0ms
(cbrt.f64 (+.f64 t (*.f64 z b)))
189.0ms
(cbrt.f64 (+.f64 t (*.f64 z b)))
120.0ms
(*.f64 a (*.f64 (*.f64 (cbrt.f64 (+.f64 t (*.f64 z b))) (cbrt.f64 (+.f64 t (*.f64 z b)))) (cbrt.f64 (+.f64 t (*.f64 z b)))))

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049002124
149002124

prune110.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done033
Total985103

Merged error: 0.0b

Counts
103 → 5
Compiler

Compiled 3658 to 880 computations (75.9% saved)

regimes119.0ms (2.2%)

Compiler

Compiled 784 to 595 computations (24.1% saved)

bsearch50.0ms (0.9%)

Steps
ItersRangePoint
8
4.518071408902199e+74
4.2456807752629314e+78
4.629167401842766e+74
7
-8.136250074046452e+96
-9.907726781209302e+94
-1.141434509350246e+95
Compiler

Compiled 1 to 6 computations (-500% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04155
14155

end0.0ms (0%)

sample1.1s (20.8%)

Algorithm
intervals
Results
371.0ms8000×body128valid
168.0ms3733×body128invalid
Compiler

Compiled 206 to 140 computations (32% saved)

Profiling

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