Details

Time bar (total: 10.5s)

analyze2.3s (22.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04968400
14968400
066
166
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Symmetry

(sort y z t)

(sort a b)

Compiler

Compiled 18 to 18 computations (0% saved)

sample66.0ms (0.6%)

Algorithm
intervals
Results
19.0ms256×body128valid
5.0ms103×body128invalid
Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify51.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
078825
178825

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.7b
Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.2b
(*.f64 (*.f64 y 9) z)
5.4b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite130.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64_18553 add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
12×pow-prod-down_binary64_18563 prod-exp_binary64_18541 cbrt-unprod_binary64_18525
add-log-exp_binary64_18531 associate-*r*_binary64_18432
add-cube-cbrt_binary64_18527 add-sqr-sqrt_binary64_18514 *-un-lft-identity_binary64_18492
associate-*l*_binary64_18433 *-commutative_binary64_18423
sum-log_binary64_18583 associate-+l+_binary64_18425
diff-log_binary64_18584 flip3-+_binary64_18495 flip-+_binary64_18466 associate-+l-_binary64_18427 sub-neg_binary64_18485 cancel-sign-sub-inv_binary64_18458 +-commutative_binary64_18422
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
5.0ms
(*.f64 (*.f64 y 9) z)
5.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series768.0ms (7.3%)

Error
1.9b
Counts
4 → 57
Calls

4 calls:

491.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
114.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
59.0ms
(*.f64 (*.f64 y 9) z)
56.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify96.0ms (0.9%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049821863
149821863

prune129.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1236129
Fresh000
Picked101
Done000
Total1246130
Error
0.0b
Counts
130 → 6
Compiler

Compiled 2476 to 1367 computations (44.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 a (*.f64 27 b)))
0.2b
(*.f64 a (*.f64 27 b))
0.2b
(*.f64 (*.f64 y 9) z)
5.4b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite110.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64_18553 add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
12×pow-prod-down_binary64_18563 prod-exp_binary64_18541 cbrt-unprod_binary64_18525
add-log-exp_binary64_18531
add-cube-cbrt_binary64_18527 add-sqr-sqrt_binary64_18514 *-un-lft-identity_binary64_18492 associate-*r*_binary64_18432
associate-*l*_binary64_18433
*-commutative_binary64_18423
sum-log_binary64_18583 associate-+l+_binary64_18425
diff-log_binary64_18584 flip3-+_binary64_18495 flip-+_binary64_18466 associate-+l-_binary64_18427 sub-neg_binary64_18485 cancel-sign-sub-inv_binary64_18458 +-commutative_binary64_18422
Counts
4 → 72
Calls

4 calls:

7.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 a (*.f64 27 b)))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
5.0ms
(*.f64 (*.f64 y 9) z)
5.0ms
(*.f64 a (*.f64 27 b))
Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series757.0ms (7.2%)

Error
0.0b
Counts
4 → 57
Calls

4 calls:

493.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 a (*.f64 27 b)))
114.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
58.0ms
(*.f64 (*.f64 y 9) z)
54.0ms
(*.f64 a (*.f64 27 b))
Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify77.0ms (0.7%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049541861
149541861

prune116.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh055
Picked011
Done000
Total1287135
Error
0.0b
Counts
135 → 7
Compiler

Compiled 2482 to 1366 computations (45% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.2b
(*.f64 y (*.f64 9 z))
5.4b
(*.f64 (*.f64 y (*.f64 9 z)) t)

rewrite109.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×pow1_binary64_18553 add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
12×pow-prod-down_binary64_18563 prod-exp_binary64_18541 cbrt-unprod_binary64_18525
add-log-exp_binary64_18531
add-cube-cbrt_binary64_18527 add-sqr-sqrt_binary64_18514 *-un-lft-identity_binary64_18492 associate-*r*_binary64_18432
associate-*l*_binary64_18433
*-commutative_binary64_18423
sum-log_binary64_18583 associate-+l+_binary64_18425
diff-log_binary64_18584 flip3-+_binary64_18495 flip-+_binary64_18466 associate-+l-_binary64_18427 sub-neg_binary64_18485 cancel-sign-sub-inv_binary64_18458 +-commutative_binary64_18422
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 y (*.f64 9 z)) t)
5.0ms
(*.f64 y (*.f64 9 z))
5.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series728.0ms (7%)

Error
0.0b
Counts
4 → 57
Calls

4 calls:

477.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y (*.f64 9 z)) t)) (*.f64 (*.f64 a 27) b))
115.0ms
(*.f64 (*.f64 y (*.f64 9 z)) t)
50.0ms
(*.f64 (*.f64 a 27) b)
48.0ms
(*.f64 y (*.f64 9 z))
Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify79.0ms (0.8%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049511864
149511864

prune112.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh145
Picked011
Done011
Total1297136
Error
0b
Counts
136 → 7
Compiler

Compiled 2461 to 1351 computations (45.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 b)
0.6b
(cbrt.f64 b)
0.6b
(cbrt.f64 b)
5.4b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite75.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×pow1_binary64_18553 add-exp-log_binary64_18530 add-cbrt-cube_binary64_18528
cbrt-prod_binary64_18523
add-cube-cbrt_binary64_18527 add-sqr-sqrt_binary64_18514 *-un-lft-identity_binary64_18492
pow-prod-down_binary64_18563 prod-exp_binary64_18541 cbrt-unprod_binary64_18525
add-log-exp_binary64_18531
associate-*r*_binary64_18432 pow1/3_binary64_18574
associate-*l*_binary64_18433 *-commutative_binary64_18423
Counts
4 → 54
Calls

4 calls:

7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
1.0ms
(cbrt.f64 b)
1.0ms
(cbrt.f64 b)
1.0ms
(cbrt.f64 b)
Compiler

Compiled 1570 to 809 computations (48.5% saved)

series353.0ms (3.4%)

Error
0b
Counts
4 → 18
Calls

4 calls:

118.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
76.0ms
(cbrt.f64 b)
72.0ms
(cbrt.f64 b)
69.0ms
(cbrt.f64 b)
Compiler

Compiled 1368 to 1033 computations (24.5% saved)

simplify90.0ms (0.9%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04984577
14984577

prune77.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done022
Total72779
Error
0b
Counts
79 → 7
Compiler

Compiled 1923 to 960 computations (50.1% saved)

regimes1.5s (14.4%)

Accuracy

Total 0.8b remaining (98.5%)

Threshold costs 0.8b (98.5%)

Compiler

Compiled 15043 to 14470 computations (3.8% saved)

bsearch52.0ms (0.5%)

Steps
ItersRangePoint
8
4.119139269303823e+179
1.9007165021868643e+182
1.2250996416011622e+181
Compiler

Compiled 1 to 6 computations (-500% saved)

simplify80.0ms (0.8%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
012856
112856
Remove

(sort a b)

Compiler

Compiled 228 to 186 computations (18.4% saved)

end0.0ms (0%)

sample2.5s (24%)

Algorithm
intervals
Results
409.0ms8000×body128valid
140.0ms2952×body128invalid
Compiler

Compiled 932 to 885 computations (5% saved)

Profiling

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