Details

Time bar (total: 5.2s)

analyze398.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
26.5%73.3%0.1%8
33.5%66.3%0.1%9
49.1%50.7%0.1%10
56.9%42.9%0.1%11
60.8%39%0.1%12
69%30.9%0.1%13
72.5%27.3%0.1%14

sample43.0ms

Algorithm
intervals
Results
13.0ms71×body1280valid
6.0ms51×body640valid
5.0ms24×body2560valid
3.0ms34×body320valid
2.0ms65×body80valid
1.0ms11×body160valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050417
150417

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 46.2b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (+.f64 (*.f64 x y) z))
0.0b
(+.f64 (*.f64 x y) z)
9.8b
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64_539
10×*-un-lft-identity_binary64_574
7×sum-log_binary64_489
5×add-sqr-sqrt_binary64_559
3×add-cube-cbrt_binary64_545 pow1_binary64_520 add-cbrt-cube_binary64_546 diff-log_binary64_490 add-exp-log_binary64_538
2×+-commutative_binary64_641 flip3-+_binary64_572 flip-+_binary64_599 distribute-lft-out--_binary64_619 distribute-lft-out_binary64_618
1×flip3--_binary64_573 associate-+r+_binary64_625 sub-neg_binary64_578 associate--r+_binary64_629 flip--_binary64_600 difference-of-squares_binary64_603
Counts
3 → 42
Calls
3 calls:
6.0ms
(+.f64 1 (+.f64 (*.f64 x y) z))
4.0ms
(+.f64 (*.f64 x y) z)
9.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

series88.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+.f64 1 (+.f64 (*.f64 x y) z))
18.0ms
(+.f64 (*.f64 x y) z)
49.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04994870
14994870

prune151.0ms

Filtered
35 candidates to 51 candidates (-45.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New44751
Fresh000
Picked011
Done000
Total44852

Merged error: 45.6b

Counts
52 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
32.6b
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity_binary64_574 cbrt-prod_binary64_541 add-sqr-sqrt_binary64_559 add-log-exp_binary64_539
7×add-cube-cbrt_binary64_545
6×cbrt-div_binary64_542
4×pow1_binary64_520 add-cbrt-cube_binary64_546 add-exp-log_binary64_538
3×pow1/3_binary64_512 flip3-+_binary64_572 flip-+_binary64_599
2×diff-log_binary64_490
1×flip3--_binary64_573 distribute-lft-out--_binary64_619 sub-neg_binary64_578 associate--r+_binary64_629 flip--_binary64_600 difference-of-squares_binary64_603 sum-log_binary64_489
Counts
4 → 54
Calls
4 calls:
3.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
5.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
110.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
113.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
41.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

simplify76.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051591268

prune294.0ms

Filtered
58 candidates to 66 candidates (-13.8%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New541266
Fresh156
Picked011
Done011
Total551974

Merged error: 45.4b

Counts
74 → 19

localize34.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
32.1b
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity_binary64_574 cbrt-prod_binary64_541 add-sqr-sqrt_binary64_559 add-log-exp_binary64_539
7×add-cube-cbrt_binary64_545
6×cbrt-div_binary64_542
4×pow1_binary64_520 add-cbrt-cube_binary64_546 add-exp-log_binary64_538
3×pow1/3_binary64_512 flip3-+_binary64_572 flip-+_binary64_599
2×diff-log_binary64_490
1×flip3--_binary64_573 distribute-lft-out--_binary64_619 sub-neg_binary64_578 associate--r+_binary64_629 flip--_binary64_600 difference-of-squares_binary64_603 sum-log_binary64_489
Counts
4 → 54
Calls
4 calls:
3.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
6.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
107.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
110.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
50.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050302277

prune384.0ms

Filtered
59 candidates to 66 candidates (-11.9%)
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New531366
Fresh51116
Picked011
Done022
Total582785

Merged error: 45.4b

Counts
85 → 27

localize47.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt.f64 (+.f64 z (*.f64 x y)))
32.1b
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
32.1b
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
32.1b
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp_binary64_539
11×*-un-lft-identity_binary64_574 add-sqr-sqrt_binary64_559
6×diff-log_binary64_490
5×add-cube-cbrt_binary64_545
4×pow1_binary64_520 add-cbrt-cube_binary64_546 add-exp-log_binary64_538
3×flip3--_binary64_573 cbrt-prod_binary64_541 distribute-lft-out--_binary64_619 sub-neg_binary64_578 associate--r+_binary64_629 flip--_binary64_600 difference-of-squares_binary64_603 sum-log_binary64_489
2×cbrt-div_binary64_542
1×pow1/3_binary64_512 flip3-+_binary64_572 flip-+_binary64_599
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
6.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
6.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
6.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt.f64 (+.f64 z (*.f64 x y)))
53.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
51.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
50.0ms
(-.f64 (fma.f64 x y z) (+.f64 1 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) (cbrt.f64 (+.f64 z (*.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051344599

prune299.0ms

Filtered
54 candidates to 70 candidates (-29.6%)
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New68270
Fresh12223
Picked011
Done033
Total692897

Merged error: 45.4b

Counts
97 → 28

regimes947.0ms

Accuracy

0% (0.7b remaining)

Error of 44.9b against oracle of 44.2b and baseline of 44.9b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09517
19517

end0.0ms

sample1.1s

Algorithm
intervals
Results
411.0ms2645×body1280valid
190.0ms1527×body640valid
110.0ms605×body2560valid
76.0ms2139×body80valid
73.0ms741×body320valid
22.0ms343×body160valid

Profiling

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