Details

Time bar (total: 1.7s)

analyze60.0ms (3.6%)

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
25%74.9%0.1%5
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify97.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03510
13510

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
10.0b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 x 3) x)
9.6b
(*.f64 (*.f64 (*.f64 x 3) x) y)

rewrite18.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_20235 add-cbrt-cube_binary64_20233 pow1_binary64_20258
9×cbrt-unprod_binary64_20230 prod-exp_binary64_20246 pow-prod-down_binary64_20268
6×associate-*r*_binary64_20137
4×add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197 add-cube-cbrt_binary64_20232
2×add-log-exp_binary64_20236 *-commutative_binary64_20128 associate-*l*_binary64_20138
Counts
2 → 39
Calls

2 calls:

10.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)
5.0ms
(*.f64 (*.f64 x 3) x)

series36.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

18.0ms
(*.f64 (*.f64 x 3) x)
18.0ms
(*.f64 (*.f64 (*.f64 x 3) x) y)

simplify64.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05053442

prune42.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New36945
Fresh000
Picked011
Done000
Total361046
Error
0.1b
Counts
46 → 10
Compiler

Compiled 573 to 385 computations (32.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 (*.f64 x 3) (*.f64 x y))

rewrite8.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
13×add-exp-log_binary64_20235 add-cbrt-cube_binary64_20233 pow1_binary64_20258
8×cbrt-unprod_binary64_20230 prod-exp_binary64_20246 pow-prod-down_binary64_20268
1×add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197 add-log-exp_binary64_20236 add-cube-cbrt_binary64_20232 *-commutative_binary64_20128 associate-*l*_binary64_20138 associate-*r*_binary64_20137
Counts
1 → 22
Calls

1 calls:

6.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

series18.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

18.0ms
(*.f64 (*.f64 x 3) (*.f64 x y))

simplify67.0ms (4%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04952283
14952283

prune25.0ms (1.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh448
Picked011
Done011
Total26935
Error
0.0b
Counts
35 → 9
Compiler

Compiled 358 to 217 computations (39.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (*.f64 3 (*.f64 x y)))
0.2b
(*.f64 3 (*.f64 x y))

rewrite14.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_20235 add-cbrt-cube_binary64_20233 pow1_binary64_20258
9×cbrt-unprod_binary64_20230 prod-exp_binary64_20246 pow-prod-down_binary64_20268
6×associate-*l*_binary64_20138
4×add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197 add-cube-cbrt_binary64_20232
2×add-log-exp_binary64_20236 *-commutative_binary64_20128 associate-*r*_binary64_20137
Counts
2 → 39
Calls

2 calls:

6.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))
5.0ms
(*.f64 3 (*.f64 x y))

series35.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

18.0ms
(*.f64 3 (*.f64 x y))
17.0ms
(*.f64 x (*.f64 3 (*.f64 x y)))

simplify61.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05208449

prune39.0ms (2.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New42345
Fresh246
Picked011
Done022
Total441054
Error
0.0b
Counts
54 → 10
Compiler

Compiled 550 to 326 computations (40.7% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3))))
0.2b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3)))
0.4b
(*.f64 (*.f64 x y) (cbrt.f64 3))

rewrite40.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
58×add-exp-log_binary64_20235 pow1_binary64_20258
40×cbrt-unprod_binary64_20230 prod-exp_binary64_20246 pow-prod-down_binary64_20268
36×add-cbrt-cube_binary64_20233
8×associate-*r*_binary64_20137
6×add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197 add-cube-cbrt_binary64_20232
5×associate-*l*_binary64_20138
3×cbrt-prod_binary64_20228 add-log-exp_binary64_20236 *-commutative_binary64_20128
Counts
3 → 82
Calls

3 calls:

15.0ms
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3))))
12.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3)))
6.0ms
(*.f64 (*.f64 x y) (cbrt.f64 3))

series134.0ms (8%)

Counts
3 → 9
Calls

3 calls:

55.0ms
(*.f64 x (*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3))))
53.0ms
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x y) (cbrt.f64 3)))
27.0ms
(*.f64 (*.f64 x y) (cbrt.f64 3))

simplify73.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04963950
14963950

prune62.0ms (3.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New91091
Fresh066
Picked011
Done033
Total9110101
Error
0.0b
Counts
101 → 10
Compiler

Compiled 1124 to 728 computations (35.2% saved)

regimes119.0ms (7.1%)

Accuracy

Total 0.2b remaining (93.5%)

Threshold costs 0.2b (93.5%)

Compiler

Compiled 1060 to 830 computations (21.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample621.0ms (37.1%)

Algorithm
1×intervals
Results
190.0ms8000×body128valid
2.0ms103×body128invalid
Compiler

Compiled 280 to 221 computations (21.1% saved)

Profiling

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