Details

Time bar (total: 2.7s)

sample26.0ms

Algorithm
intervals
Results
8.0ms311×body80valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0111100
139288
2173388
3500188

prune24.0ms

Filtered
14 candidates to 10 candidates (28.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
46.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
45.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03081289
110301210
250011108

prune220.0ms

Filtered
99 candidates to 75 candidates (24.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh011
Picked101
Done011
Total993102

Merged error: 0.0b

Counts
102 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b
(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
46.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))
43.0ms
(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0174692
1495648
22119616
35001604

prune244.0ms

Filtered
64 candidates to 56 candidates (12.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done011
Total64367

Merged error: 0.0b

Counts
67 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (* x y) 3)
0.8b
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
2.6b
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
36.8b
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ flip-+
3×pow-unpow associate-/r*
2×+-commutative distribute-rgt-in sub-neg pow-pow distribute-lft-in pow-exp sum-log associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod div-exp pow-prod-down prod-exp clear-num cbrt-unprod div-inv sqr-pow
Counts
4 → 89
Calls
4 calls:
4.0ms
(pow (* x y) 3)
15.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
24.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(pow (* x y) 3)
31.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
40.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
105.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify105.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
04481632
124131490
250011485

prune379.0ms

Filtered
101 candidates to 71 candidates (29.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh000
Picked101
Done022
Total1013104

Merged error: 0b

Counts
104 → 3

regimes185.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample590.0ms

Algorithm
intervals
Results
261.0ms10098×body80valid

Profiling

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