Details

Time bar (total: 6.1s)

sample31.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
8.0ms245×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1447
2637
3707
4717
5717

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.6b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b
(+ (* x y) (* x z))
2.6b
(+ (+ (* x y) (* x z)) (* y z))
22.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×add-sqr-sqrt
5×add-cube-cbrt fma-def *-un-lft-identity
4×pow1 sum-log
3×add-exp-log expm1-log1p-u flip3-+ sqrt-prod add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative sqrt-div distribute-lft-out
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
3 → 51
Calls
3 calls:
4.0ms
(+ (* x y) (* x z))
7.0ms
(+ (+ (* x y) (* x z)) (* y z))
7.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* x y) (* x z))
22.0ms
(+ (+ (* x y) (* x z)) (* y z))
123.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify143.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
0270383
11009344
24339335
35001334

prune183.0ms

Filtered
60 candidates to 48 candidates (80.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New55560
Fresh000
Picked011
Done000
Total55661

Merged error: 23.5b

Counts
61 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
22.3b
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 sqrt-prod flip-+ distribute-lft-out
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 63
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) (* x z)))
4.0ms
(cbrt (+ (* x y) (* x z)))
4.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series817.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (+ (* x y) (* x z)))
129.0ms
(cbrt (+ (* x y) (* x z)))
128.0ms
(cbrt (+ (* x y) (* x z)))
424.0ms
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify133.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0361841
11141788
24842741
35001741

prune340.0ms

Filtered
75 candidates to 73 candidates (97.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New72375
Fresh044
Picked011
Done011
Total72981

Merged error: 23.5b

Counts
81 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b
(fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (cbrt (+ (* x y) (* x z))) (* y z))
17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
22.3b
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×sqrt-prod
2×flip3-+ pow1/3 flip-+ distribute-lft-out
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 57
Calls
4 calls:
1.0ms
(fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (cbrt (+ (* x y) (* x z))) (* y z))
4.0ms
(cbrt (+ (* x y) (* x z)))
4.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (cbrt (+ (* x y) (* x z))) (* y z))
133.0ms
(cbrt (+ (* x y) (* x z)))
138.0ms
(cbrt (+ (* x y) (* x z)))
513.0ms
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (cbrt (+ (* x y) (* x z))) (* y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04101003
11341923
25002888

prune371.0ms

Filtered
69 candidates to 66 candidates (95.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New66369
Fresh156
Picked101
Done022
Total681078

Merged error: 23.3b

Counts
78 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* x y) (* x z))
2.2b
(fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (* (cbrt x) (cbrt (+ y z))) (* y z))
17.7b
(cbrt (+ (* x y) (* x z)))
22.3b
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (* (cbrt x) (cbrt (+ y z))) (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity add-log-exp
5×pow1
4×add-exp-log cbrt-prod expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×sqrt-prod
2×cbrt-div flip3-+ flip-+ distribute-lft-out
1×+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 pow1/3 sum-log fma-udef
Counts
4 → 56
Calls
4 calls:
4.0ms
(+ (* x y) (* x z))
6.0ms
(fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (* (cbrt x) (cbrt (+ y z))) (* y z))
4.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (* (cbrt x) (cbrt (+ y z))) (* y z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* x y) (* x z))
268.0ms
(fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (* (cbrt x) (cbrt (+ y z))) (* y z))
135.0ms
(cbrt (+ (* x y) (* x z)))
571.0ms
(sqrt (fma (* (cbrt (+ (* x y) (* x z))) (* (cbrt x) (cbrt (+ y z)))) (* (cbrt x) (cbrt (+ y z))) (* y z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0442942
11553859
25002831

prune311.0ms

Filtered
68 candidates to 59 candidates (86.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New65368
Fresh077
Picked011
Done022
Total651378

Merged error: 23.2b

Counts
78 → 13

regimes443.0ms

Accuracy

0% (0.3b remaining)

Error of 19.6b against oracle of 19.3b and baseline of 19.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample827.0ms

Algorithm
intervals
Results
267.0ms8000×body80valid
239.0ms7977×body80nan