Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms319×body80valid

simplify29.0ms

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

prune2.0ms

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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ (* x y) (* (- 1.0 x) z))
6.0ms
(* (- 1.0 x) z)

series58.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* x y) (* (- 1.0 x) z))
29.0ms
(* (- 1.0 x) z)

simplify100.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune69.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0b

Counts
40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series696.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt z) (cbrt z))
168.0ms
(cbrt z)
171.0ms
(cbrt z)
169.0ms
(cbrt z)

simplify95.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune180.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.3b
(* (- (* 1.0 1.0) (* x x)) z)
6.9b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
6.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
6.0ms
(* (- (* 1.0 1.0) (* x x)) z)
12.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series148.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
44.0ms
(* (- (* 1.0 1.0) (* x x)) z)
54.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify51.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0368530
11781465
25002456

prune118.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done022
Total68573

Merged error: 0b

Counts
73 → 5

localize20.0ms

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)))
2.8b
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
40.2b
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

rewrite50.0ms

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:
3.0ms
(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))
23.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (* x y) 3)
108.0ms
(+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y)))
152.0ms
(+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3))
271.0ms
(/ (+ (pow (* x y) 3) (pow (* (- 1.0 x) z) 3)) (+ (* (* (- 1.0 x) z) (- (* (- 1.0 x) z) (* x y))) (* (* x y) (* x y))))

simplify108.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
04481632
124131490
250011485

prune419.0ms

Filtered
101 candidates to 71 candidates (70.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done033
Total1015106

Merged error: 0b

Counts
106 → 5

regimes85.0ms

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

sample506.0ms

Algorithm
intervals
Results
291.0ms10148×body80valid

Profiling

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