Details

Time bar (total: 3.2s)

analyze56.0ms (1.7%)

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
25%74.9%0.1%5
37.5%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.3%)

Algorithm
intervals
Results
5.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify168.0ms (5.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0107
1107

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 (*.f64 x y) y)

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_9059 add-exp-log_binary64_9061 pow1_binary64_9084
associate-*r*_binary64_8963 prod-exp_binary64_9072 pow-prod-down_binary64_9094 cbrt-unprod_binary64_9056
*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058 add-sqr-sqrt_binary64_9045
associate-*l*_binary64_8964 *-commutative_binary64_8954 add-log-exp_binary64_9062
Counts
1 → 18
Calls

1 calls:

7.0ms
(*.f64 (*.f64 x y) y)

series48.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(*.f64 (*.f64 x y) y)

simplify61.0ms (1.9%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04935177
14935177

prune36.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.0b

Counts
22 → 5
Compiler

Compiled 474 to 210 computations (55.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_9054
23×add-sqr-sqrt_binary64_9045
15×*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058
11×pow1_binary64_9084
pow1/3_binary64_9105
swap-sqr_binary64_8990 associate-*r*_binary64_8963 associate-*l*_binary64_8964 add-exp-log_binary64_9061
add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062 unswap-sqr_binary64_8991
pow-sqr_binary64_8996 pow-prod-down_binary64_9094 pow-prod-up_binary64_9093
prod-exp_binary64_9072 *-commutative_binary64_8954 pow2_binary64_9104 pow-plus_binary64_9086 cbrt-unprod_binary64_9056
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series636.0ms (19.8%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
166.0ms
(cbrt.f64 y)
148.0ms
(cbrt.f64 y)
146.0ms
(cbrt.f64 y)

simplify53.0ms (1.7%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05245563

prune75.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh033
Picked011
Done011
Total84690

Merged error: 0.0b

Counts
90 → 6
Compiler

Compiled 1537 to 523 computations (66% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
18.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
18.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
18.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))

rewrite26.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_9084
10×add-sqr-sqrt_binary64_9045
pow1/3_binary64_9105
*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058
cbrt-prod_binary64_9054
add-exp-log_binary64_9061
swap-sqr_binary64_8990 associate-*r*_binary64_8963 associate-*l*_binary64_8964 add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062
pow-sqr_binary64_8996 pow-prod-down_binary64_9094 pow-prod-up_binary64_9093
prod-exp_binary64_9072 *-commutative_binary64_8954 pow2_binary64_9104 unswap-sqr_binary64_8991 pow-plus_binary64_9086 cbrt-unprod_binary64_9056
Counts
4 → 58
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
6.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))

series614.0ms (19.2%)

Counts
4 → 12
Calls

4 calls:

183.0ms
(*.f64 (cbrt.f64 (*.f64 y (*.f64 x y))) (cbrt.f64 (*.f64 y (*.f64 x y))))
148.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
145.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
139.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))

simplify71.0ms (2.2%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05008718

prune104.0ms (3.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New68270
Fresh033
Picked011
Done022
Total68876

Merged error: 0.0b

Counts
76 → 8
Compiler

Compiled 2367 to 776 computations (67.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
8.5b
(cbrt.f64 (*.f64 x y))
18.7b
(cbrt.f64 (*.f64 y (*.f64 x y)))
18.7b
(cbrt.f64 (*.f64 y (*.f64 y x)))

rewrite17.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_9054
*-un-lft-identity_binary64_9023 add-cube-cbrt_binary64_9058 add-sqr-sqrt_binary64_9045
pow1/3_binary64_9105 add-cbrt-cube_binary64_9059 add-exp-log_binary64_9061 add-log-exp_binary64_9062 pow1_binary64_9084
Counts
4 → 38
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 y (*.f64 y x)))
4.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
3.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 (*.f64 x y))

series521.0ms (16.3%)

Counts
4 → 12
Calls

4 calls:

154.0ms
(cbrt.f64 y)
135.0ms
(cbrt.f64 (*.f64 y (*.f64 x y)))
133.0ms
(cbrt.f64 (*.f64 y (*.f64 y x)))
100.0ms
(cbrt.f64 (*.f64 x y))

simplify65.0ms (2%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
06063433

prune75.0ms (2.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New47350
Fresh134
Picked011
Done033
Total481058

Merged error: 0.0b

Counts
58 → 10
Compiler

Compiled 1827 to 540 computations (70.4% saved)

regimes59.0ms (1.8%)

Compiler

Compiled 515 to 298 computations (42.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample452.0ms (14.1%)

Algorithm
intervals
Results
155.0ms8000×body128valid
3.0ms184×body128invalid
Compiler

Compiled 178 to 105 computations (41% saved)

Profiling

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