Details

Time bar (total: 2.1s)

analyze914.0ms

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

sample53.0ms

Algorithm
intervals
Results
12.0ms193×body80valid
9.0ms29×body640valid
7.0ms13×body1280valid
3.0msbody1280invalid
3.0msbody640invalid
3.0ms13×body320valid
1.0ms28×body80nan
1.0msbody160valid
1.0msbody160invalid
0.0msbody320invalid
0.0msbody80invalid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0498811
1498811

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 7.2b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b
(/.f64 y (+.f64 y z))
7.8b
(pow.f64 (/.f64 y (+.f64 y z)) y)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64
24×times-frac_binary64
21×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×unpow-prod-down_binary64
distribute-lft-out_binary64 add-exp-log_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 pow1_binary64 associate-/r/_binary64
flip3-+_binary64 pow-unpow_binary64 associate-/l*_binary64 flip-+_binary64
div-inv_binary64 div-exp_binary64 pow-exp_binary64
pow-to-exp_binary64 cbrt-undiv_binary64 pow-pow_binary64 sqr-pow_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 78
Calls
3 calls:
26.0ms
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
6.0ms
(/.f64 y (+.f64 y z))
7.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)

series77.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
6.0ms
(/.f64 y (+.f64 y z))
41.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)

simplify80.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04949964
14949964

prune79.0ms

Filtered
61 candidates to 87 candidates (-42.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New84387
Fresh000
Picked101
Done000
Total85388

Merged error: 0.3b

Counts
88 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
times-frac_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 add-exp-log_binary64 associate-/l*_binary64
associate-/l/_binary64 pow1_binary64
flip3-+_binary64 distribute-lft-out_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 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 41
Calls
2 calls:
7.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)
7.0ms
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)
8.0ms
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04852411
14852411

prune47.0ms

Filtered
36 candidates to 47 candidates (-30.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh022
Picked011
Done000
Total45550

Merged error: 0.2b

Counts
50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
0.1b
(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
0.2b
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
0.2b
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
194×sqrt-prod_binary64
172×*-un-lft-identity_binary64
168×times-frac_binary64
120×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
96×unpow-prod-down_binary64
26×distribute-lft-out_binary64
14×associate-/r*_binary64 add-exp-log_binary64
12×associate-/l*_binary64
add-cbrt-cube_binary64 associate-/r/_binary64 sqrt-div_binary64
pow-unpow_binary64 pow1_binary64
flip3-+_binary64 add-log-exp_binary64 sqrt-undiv_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64 pow-exp_binary64
pow-to-exp_binary64 sqrt-pow2_binary64 cbrt-undiv_binary64 pow-pow_binary64 sqr-pow_binary64 clear-num_binary64 frac-2neg_binary64
Counts
4 → 268
Calls
4 calls:
8.0ms
(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
8.0ms
(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
12.0ms
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
12.0ms
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)

series149.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
17.0ms
(/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z)))
56.0ms
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)
59.0ms
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (+.f64 y z))) y)

simplify75.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049734180
149734180

prune152.0ms

Filtered
144 candidates to 280 candidates (-94.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2800280
Fresh033
Picked011
Done011
Total2805285

Merged error: 0.2b

Counts
285 → 5

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055

Merged error: 0.2b

Counts
5 → 5

regimes162.0ms

bsearch51.0ms

Steps
ItersRangePoint
7
-3316.1621068490085
-38.01366973948254
-38.81758131440455

Profiling

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