Details

Time bar (total: 4.1s)

analyze933.0ms (22.9%)

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
0%99.9%0.1%7
0%99.9%0.1%8
2.7%90.9%6.4%9
4.1%86.4%9.5%10
4.4%86.1%9.5%11
19.7%65.3%15%12
21.9%60.4%17.7%13
22.7%59.6%17.7%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample55.0ms (1.4%)

Algorithm
intervals
Results
11.0ms188×body80valid
9.0ms19×body1280valid
9.0ms26×body640valid
3.0ms17×body320valid
3.0ms10×body640invalid
2.0ms37×body80nan
1.0msbody1280invalid
1.0msbody160valid
1.0msbody160invalid
1.0msbody80invalid
0.0msbody320invalid
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify66.0ms (1.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0499016
1499016

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 6.4b

Counts
2 → 1
Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (+.f64 y z))
5.4b
(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
24×times-frac_binary64
20×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×unpow-prod-down_binary64
distribute-lft-out_binary64 add-exp-log_binary64
associate-/r*_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
pow-unpow_binary64 pow1_binary64 associate-/l*_binary64
flip3-+_binary64 add-log-exp_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 pow-exp_binary64
pow-to-exp_binary64 cbrt-undiv_binary64 pow-pow_binary64 sqr-pow_binary64 clear-num_binary64 frac-2neg_binary64
Counts
2 → 66
Calls

2 calls:

7.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)
6.0ms
(/.f64 y (+.f64 y z))

series43.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)
8.0ms
(/.f64 y (+.f64 y z))

simplify108.0ms (2.6%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
049951129
149951129

prune57.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New68472
Fresh000
Picked101
Done000
Total69473

Merged error: 0.3b

Counts
73 → 4
Compiler

Compiled 1331 to 396 computations (70.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
1.5b
(pow.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×add-exp-log_binary64
13×unpow-prod-down_binary64
12×cbrt-div_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 cbrt-prod_binary64
associate-/r/_binary64
flip3-+_binary64 flip-+_binary64
pow1_binary64 pow-exp_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 prod-exp_binary64 div-exp_binary64 frac-times_binary64
pow-unpow_binary64 pow1/3_binary64
associate-*r/_binary64 associate-*l/_binary64
pow-to-exp_binary64 pow-pow_binary64 sqr-pow_binary64 times-frac_binary64 div-inv_binary64
Counts
4 → 64
Calls

4 calls:

18.0ms
(pow.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series104.0ms (2.6%)

Counts
4 → 12
Calls

4 calls:

57.0ms
(pow.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))) y)
17.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 y)

simplify65.0ms (1.6%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051591362

prune59.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New75176
Fresh123
Picked101
Done000
Total77380

Merged error: 0.1b

Counts
80 → 3
Compiler

Compiled 2766 to 691 computations (75% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
3.1b
(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))

rewrite30.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod_binary64
85×*-un-lft-identity_binary64
84×times-frac_binary64
61×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
48×log-prod_binary64 unpow-prod-down_binary64
12×distribute-lft-out_binary64
10×add-exp-log_binary64
pow1_binary64
cbrt-div_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
pow-unpow_binary64
flip3-+_binary64 rem-log-exp_binary64 pow1/3_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 pow-exp_binary64
pow-to-exp_binary64 pow-pow_binary64 log-pow_binary64 sqr-pow_binary64 log-div_binary64
Counts
4 → 144
Calls

4 calls:

12.0ms
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
8.0ms
(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series103.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

49.0ms
(pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))) y)
19.0ms
(cbrt.f64 y)
19.0ms
(log.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 y z))))
15.0ms
(cbrt.f64 y)

simplify118.0ms (2.9%)

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
048993705
148993705

prune121.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh112
Picked011
Done000
Total1563159

Merged error: 0.1b

Counts
159 → 3
Compiler

Compiled 5605 to 1761 computations (68.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
associate-/r*_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/l/_binary64 add-exp-log_binary64
add-log-exp_binary64 pow1_binary64 neg-sub0_binary64 cbrt-undiv_binary64 exp-diff_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 exp-neg_binary64
Counts
1 → 29
Calls

1 calls:

6.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)

series5.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)

simplify97.0ms (2.4%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04912435
14912435

prune17.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31132
Fresh011
Picked101
Done011
Total32335

Merged error: 0.1b

Counts
35 → 3
Compiler

Compiled 396 to 120 computations (69.7% saved)

regimes95.0ms (2.3%)

Compiler

Compiled 195 to 147 computations (24.6% saved)

bsearch15.0ms (0.4%)

Steps
ItersRangePoint
6
3599139.205837889
14405702.95377484
3631925.0693738717
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03561
13561

end0.0ms (0%)

sample1.9s (46.3%)

Algorithm
intervals
Results
355.0ms6031×body80valid
325.0ms639×body1280valid
218.0ms684×body640valid
89.0ms435×body320valid
71.0ms237×body640invalid
48.0ms1066×body80nan
40.0ms88×body1280invalid
31.0ms158×body320invalid
28.0ms211×body160valid
20.0ms351×body80invalid
15.0ms119×body160invalid
Compiler

Compiled 145 to 101 computations (30.3% saved)

Profiling

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