Details

Time bar (total: 2.8s)

analyze378.0ms (13.4%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010752
110752
033
133
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
12.5%87.4%0.1%7
25%74.9%0.1%8
31.2%64%4.8%9
31.2%42.1%26.7%10
35.9%37.1%27.1%11
38.2%32.2%29.6%12
47.8%21.6%30.6%13
50.2%19%30.8%14
Compiler

Compiled 16 to 9 computations (43.8% saved)

sample17.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0ms14×body128invalid
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04113
14113

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z z))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))

rewrite23.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64_11370
10×sum-log_binary64_11422
add-exp-log_binary64_11369 +-commutative_binary64_11261 pow1_binary64_11392 *-un-lft-identity_binary64_11331 add-cube-cbrt_binary64_11366 add-sqr-sqrt_binary64_11353 add-cbrt-cube_binary64_11367 flip3-+_binary64_11334 flip-+_binary64_11305
associate-+l+_binary64_11264
Counts
3 → 38
Calls

3 calls:

10.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z z))

series125.0ms (4.4%)

Counts
3 → 9
Calls

3 calls:

45.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))
41.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z))
40.0ms
(+.f64 (*.f64 x y) (*.f64 z z))

simplify91.0ms (3.2%)

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04868767
14868767

prune42.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh011
Picked011
Done000
Total43649
Error
0b
Counts
49 → 6
Compiler

Compiled 968 to 254 computations (73.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) 3))
0.2b
(*.f64 (*.f64 z z) 3)

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_11369 pow1_binary64_11392 add-cbrt-cube_binary64_11367
add-log-exp_binary64_11370 add-sqr-sqrt_binary64_11353
cbrt-unprod_binary64_11364 *-un-lft-identity_binary64_11331 associate-*r*_binary64_11271 add-cube-cbrt_binary64_11366 prod-exp_binary64_11380 pow-prod-down_binary64_11402
*-commutative_binary64_11262 +-commutative_binary64_11261 sum-log_binary64_11422 unswap-sqr_binary64_11299 associate-*l*_binary64_11272 flip3-+_binary64_11334 flip-+_binary64_11305
Counts
2 → 30
Calls

2 calls:

7.0ms
(*.f64 (*.f64 z z) 3)
4.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) 3))

series68.0ms (2.4%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 z z) 3))
21.0ms
(*.f64 (*.f64 z z) 3)

simplify54.0ms (1.9%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04914435
14914435

prune232.0ms (8.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh314
Picked011
Done101
Total38442
Error
0b
Counts
42 → 4
Compiler

Compiled 514 to 261 computations (49.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
0.2b
(*.f64 z (*.f64 z 3))

rewrite11.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_11369 pow1_binary64_11392 add-cbrt-cube_binary64_11367
add-log-exp_binary64_11370
cbrt-unprod_binary64_11364 *-un-lft-identity_binary64_11331 add-cube-cbrt_binary64_11366 add-sqr-sqrt_binary64_11353 prod-exp_binary64_11380 associate-*l*_binary64_11272 pow-prod-down_binary64_11402
*-commutative_binary64_11262 +-commutative_binary64_11261 sum-log_binary64_11422 associate-*r*_binary64_11271 flip3-+_binary64_11334 flip-+_binary64_11305
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 z (*.f64 z 3))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))

series65.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(+.f64 (*.f64 x y) (*.f64 z (*.f64 z 3)))
18.0ms
(*.f64 z (*.f64 z 3))

simplify97.0ms (3.4%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04926419
14926419

prune29.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done011
Total35439
Error
0b
Counts
39 → 4
Compiler

Compiled 493 to 277 computations (43.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite41.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
49×pow1_binary64_11392
33×add-exp-log_binary64_11369
27×pow-prod-down_binary64_11402
21×cbrt-unprod_binary64_11364 prod-exp_binary64_11380
20×add-cbrt-cube_binary64_11367
associate-*r*_binary64_11271
*-un-lft-identity_binary64_11331 add-log-exp_binary64_11370 add-cube-cbrt_binary64_11366 add-sqr-sqrt_binary64_11353
pow-prod-up_binary64_11401 pow-plus_binary64_11394
cbrt-prod_binary64_11362
*-commutative_binary64_11262 pow-sqr_binary64_11304 associate-*l*_binary64_11272 pow2_binary64_11412
+-commutative_binary64_11261 sum-log_binary64_11422 unswap-sqr_binary64_11299 flip3-+_binary64_11334 flip-+_binary64_11305
Counts
3 → 70
Calls

3 calls:

17.0ms
(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
13.0ms
(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series175.0ms (6.2%)

Counts
3 → 9
Calls

3 calls:

79.0ms
(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
55.0ms
(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
40.0ms
(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify87.0ms (3.1%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04960884
14960884

prune68.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done022
Total79483
Error
0b
Counts
83 → 4
Compiler

Compiled 1178 to 710 computations (39.7% saved)

regimes243.0ms (8.6%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 2604 to 1856 computations (28.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213
Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample925.0ms (32.7%)

Algorithm
intervals
Results
258.0ms8000×body128valid
17.0ms465×body128invalid
Compiler

Compiled 460 to 329 computations (28.5% saved)

Profiling

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