Details

Time bar (total: 2.7s)

analyze297.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms18×body80invalid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune3.0ms

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 2 expressions with local error:

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

rewrite10.0ms

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:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- x 1.0) z)
7.0ms
(+ (* x y) (* (- x 1.0) z))

simplify95.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune50.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:
9.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
5.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
41.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
41.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03111298
110351219
250011117

prune213.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh022
Picked011
Done011
Total985103

Merged error: 0b

Counts
103 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
41.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
41.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0174704
1495660
22124628
35001616

prune287.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done022
Total64569

Merged error: 0b

Counts
69 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
0.1b
(* (- (sqrt x) (sqrt 1.0)) z)
0.1b
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity associate-*l*
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×sqrt-prod
6×add-cube-cbrt
5×add-log-exp
4×frac-times flip3-- flip3-+ associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative sum-log unswap-sqr
Counts
3 → 65
Calls
3 calls:
6.0ms
(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
8.0ms
(* (- (sqrt x) (sqrt 1.0)) z)
14.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

series51.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (* x y) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z)))
9.0ms
(* (- (sqrt x) (sqrt 1.0)) z)
26.0ms
(* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0485732
12346593
25002578

prune109.0ms

Filtered
56 candidates to 74 candidates (-32.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh011
Picked011
Done033
Total74579

Merged error: 0b

Counts
79 → 5

regimes224.0ms

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

analyze291.0ms

Algorithm
search

sample392.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
22.0ms651×body80invalid

Profiling

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