Details

Time bar (total: 3.9s)

analyze1.2s (31.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
3.7%96.1%0.2%13
4.2%94.5%1.3%14
Compiler

Compiled 18 to 16 computations (11.1% saved)

sample27.0ms (0.7%)

Algorithm
intervals
Results
12.0ms256×body80valid
3.0ms74×body80invalid
Compiler

Compiled 35 to 35 computations (0% saved)

simplify138.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (129.0ms)

IterNodesCost
0472819
1472819

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 43 to 41 computations (4.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.1b
(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite32.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
12×times-frac_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 distribute-lft-out_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
flip3-+_binary64 associate-/r*_binary64 flip-+_binary64 sum-log_binary64
associate-/l/_binary64 pow1_binary64 frac-add_binary64
cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 associate-+r+_binary64
Counts
2 → 50
Calls

2 calls:

18.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
12.0ms
(/.f64 (+.f64 2 (/.f64 2 z)) t)

series19.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

14.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
5.0ms
(/.f64 (+.f64 2 (/.f64 2 z)) t)

simplify82.0ms (2.1%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
058531160

prune66.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51556
Fresh101
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6
Compiler

Compiled 1260 to 859 computations (31.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
0.0b
(+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))
0.7b
(/.f64 2 (*.f64 z t))

rewrite38.0ms (1%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
14×add-log-exp_binary64
11×times-frac_binary64
distribute-lft-out_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 sum-log_binary64
distribute-rgt-out_binary64
flip3-+_binary64 pow1_binary64 frac-add_binary64 associate-/l*_binary64 div-inv_binary64 flip-+_binary64
cbrt-undiv_binary64 div-exp_binary64 +-commutative_binary64
distribute-lft1-in_binary64 associate-/r*_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-+r+_binary64
Counts
3 → 59
Calls

3 calls:

21.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
10.0ms
(+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))
5.0ms
(/.f64 2 (*.f64 z t))

series26.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

14.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
8.0ms
(+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))
4.0ms
(/.f64 2 (*.f64 z t))

simplify98.0ms (2.5%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
052311267

prune62.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh134
Picked011
Done101
Total69574

Merged error: 0b

Counts
74 → 5
Compiler

Compiled 1498 to 927 computations (38.1% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
0.2b
(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

rewrite27.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
13×associate-*r*_binary64
11×add-exp-log_binary64 times-frac_binary64
10×add-cube-cbrt_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
flip3-+_binary64 pow1_binary64 associate-*l*_binary64 prod-exp_binary64 flip-+_binary64
unswap-sqr_binary64 sum-log_binary64
cbrt-unprod_binary64 distribute-lft-out_binary64 frac-add_binary64 div-exp_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 un-div-inv_binary64 div-inv_binary64 +-commutative_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
2 → 57
Calls

2 calls:

15.0ms
(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))
10.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))

series20.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

14.0ms
(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
5.0ms
(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

simplify92.0ms (2.3%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049211160
149211160

prune56.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done011
Total63568

Merged error: 0b

Counts
68 → 5
Compiler

Compiled 1355 to 935 computations (31% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2) t)) (/.f64 2 t))
0.3b
(*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2) t))
0.5b
(/.f64 (sqrt.f64 2) t)
0.5b
(/.f64 (sqrt.f64 2) z)

rewrite44.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt_binary64
85×times-frac_binary64
61×*-un-lft-identity_binary64
60×add-cube-cbrt_binary64
48×sqrt-prod_binary64
22×associate-*r*_binary64 associate-*l*_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/l*_binary64
unswap-sqr_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
cbrt-unprod_binary64 prod-exp_binary64 div-inv_binary64
frac-add_binary64
associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 distribute-rgt-out_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 166
Calls

4 calls:

16.0ms
(*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2) t))
12.0ms
(+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2) t)) (/.f64 2 t))
5.0ms
(/.f64 (sqrt.f64 2) z)
4.0ms
(/.f64 (sqrt.f64 2) t)

series33.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(+.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2) t)) (/.f64 2 t))
9.0ms
(*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (sqrt.f64 2) t))
5.0ms
(/.f64 (sqrt.f64 2) z)
4.0ms
(/.f64 (sqrt.f64 2) t)

simplify79.0ms (2%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049972459
149972459

prune173.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh022
Picked011
Done022
Total1785183

Merged error: 0b

Counts
183 → 5
Compiler

Compiled 4275 to 2847 computations (33.4% saved)

regimes220.0ms (5.6%)

Compiler

Compiled 499 to 497 computations (0.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01822
11822

end0.0ms (0%)

sample1.3s (33.5%)

Algorithm
intervals
Results
383.0ms8000×body80valid
108.0ms2312×body80invalid
Compiler

Compiled 143 to 138 computations (3.5% saved)

Profiling

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