Details

Time bar (total: 4.3s)

analyze236.0ms (5.5%)

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)

sample24.0ms (0.6%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
1.0ms20×body128nan
0.0ms1×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify21.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

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: 13.3b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize8.0ms (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)))
12.8b
(log.f64 (/.f64 x y))

rewrite29.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
65×log-prod_binary64
45×times-frac_binary64
43×add-sqr-sqrt_binary64
41×*-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 cancel-sign-sub-inv_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 → 109
Calls

3 calls:

8.0ms
(-.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))

series229.0ms (5.3%)

Counts
3 → 9
Calls

3 calls:

105.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
76.0ms
(*.f64 x (log.f64 (/.f64 x y)))
46.0ms
(log.f64 (/.f64 x y))

simplify50.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050261782

prune304.0ms (7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1108118
Fresh000
Picked101
Done000
Total1118119

Merged error: 0.0b

Counts
119 → 8
Compiler

Compiled 5170 to 2647 computations (48.8% 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)

series596.0ms (13.8%)

Counts
4 → 12
Calls

4 calls:

157.0ms
(cbrt.f64 x)
151.0ms
(cbrt.f64 x)
145.0ms
(cbrt.f64 y)
143.0ms
(cbrt.f64 y)

simplify54.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05042340

prune60.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh077
Picked011
Done000
Total56864

Merged error: 0.0b

Counts
64 → 8
Compiler

Compiled 1365 to 548 computations (59.9% saved)

localize15.0ms (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)

series630.0ms (14.6%)

Counts
4 → 12
Calls

4 calls:

164.0ms
(cbrt.f64 y)
157.0ms
(cbrt.f64 y)
155.0ms
(cbrt.f64 x)
154.0ms
(cbrt.f64 x)

simplify54.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05042340

prune61.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done011
Total56864

Merged error: 0.0b

Counts
64 → 8
Compiler

Compiled 1456 to 560 computations (61.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
3.8b
(log.f64 (/.f64 (cbrt.f64 x) y))

rewrite14.0ms (0.3%)

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:

4.0ms
(log.f64 (/.f64 (cbrt.f64 x) y))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series826.0ms (19.1%)

Counts
4 → 12
Calls

4 calls:

333.0ms
(cbrt.f64 x)
190.0ms
(log.f64 (/.f64 (cbrt.f64 x) y))
153.0ms
(cbrt.f64 x)
149.0ms
(cbrt.f64 x)

simplify53.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05041845

prune100.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh145
Picked011
Done022
Total78886

Merged error: 0.0b

Counts
86 → 8
Compiler

Compiled 2277 to 958 computations (57.9% saved)

regimes102.0ms (2.4%)

Compiler

Compiled 829 to 534 computations (35.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12631

end0.0ms (0%)

sample806.0ms (18.6%)

Algorithm
1×intervals
Results
376.0ms8000×body128valid
29.0ms805×body128nan
2.0ms38×body128invalid
Compiler

Compiled 208 to 136 computations (34.6% saved)

Profiling

Loading profile data...