Details

Time bar (total: 4.1s)

analyze232.0ms (5.7%)

Algorithm
1×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%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample25.0ms (0.6%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
1.0ms28×body128nan
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify19.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
027012
127012

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.0b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b
(*.f64 x (log.f64 (/.f64 x y)))
16.4b
(log.f64 (/.f64 x y))

rewrite29.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
65×log-prod_binary64
45×times-frac_binary64
42×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64 add-cube-cbrt_binary64
26×distribute-lft-in_binary64 distribute-rgt-in_binary64 associate--l+_binary64
8×add-exp-log_binary64
7×pow1_binary64
5×add-log-exp_binary64 add-cbrt-cube_binary64 div-inv_binary64
4×associate-*r*_binary64
3×associate-*l*_binary64
2×rem-log-exp_binary64 log-pow_binary64
1×pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64 log-div_binary64 flip--_binary64 *-commutative_binary64
Counts
3 → 106
Calls

3 calls:

9.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms
(*.f64 x (log.f64 (/.f64 x y)))
3.0ms
(log.f64 (/.f64 x y))

series237.0ms (5.8%)

Counts
3 → 9
Calls

3 calls:

109.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
82.0ms
(*.f64 x (log.f64 (/.f64 x y)))
46.0ms
(log.f64 (/.f64 x y))

simplify111.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
049671749
149671749

prune106.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10510115
Fresh000
Picked101
Done000
Total10610116

Merged error: 0.0b

Counts
116 → 10
Compiler

Compiled 1912 to 537 computations (71.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series633.0ms (15.5%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(cbrt.f64 x)
162.0ms
(cbrt.f64 x)
158.0ms
(cbrt.f64 y)
142.0ms
(cbrt.f64 y)

simplify48.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05028340

prune61.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh099
Picked011
Done000
Total561066

Merged error: 0.0b

Counts
66 → 10
Compiler

Compiled 1399 to 577 computations (58.8% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite11.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)

series626.0ms (15.3%)

Counts
4 → 12
Calls

4 calls:

168.0ms
(cbrt.f64 x)
166.0ms
(cbrt.f64 x)
147.0ms
(cbrt.f64 y)
144.0ms
(cbrt.f64 y)

simplify51.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05028340

prune64.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh088
Picked011
Done011
Total561066

Merged error: 0.0b

Counts
66 → 10
Compiler

Compiled 1490 to 589 computations (60.5% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
5.6b
(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite15.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
22×log-prod_binary64
20×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×times-frac_binary64 cbrt-prod_binary64
7×add-exp-log_binary64
5×pow1_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64
3×pow1/3_binary64
2×rem-log-exp_binary64
1×log-pow_binary64 div-inv_binary64 div-exp_binary64 log-div_binary64
Counts
4 → 66
Calls

4 calls:

5.0ms
(log.f64 (/.f64 x (cbrt.f64 y)))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series633.0ms (15.5%)

Counts
4 → 12
Calls

4 calls:

168.0ms
(log.f64 (/.f64 x (cbrt.f64 y)))
157.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 y)
154.0ms
(cbrt.f64 y)

simplify101.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04953824
14953824

prune78.0ms (1.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh077
Picked011
Done022
Total781088

Merged error: 0.0b

Counts
88 → 10
Compiler

Compiled 1910 to 726 computations (62% saved)

regimes86.0ms (2.1%)

Compiler

Compiled 730 to 502 computations (31.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12631

end0.0ms (0%)

sample848.0ms (20.8%)

Algorithm
1×intervals
Results
366.0ms8000×body128valid
26.0ms752×body128nan
2.0ms34×body128invalid
Compiler

Compiled 227 to 156 computations (31.3% saved)

Profiling

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