Details

Time bar (total: 3.5s)

sample18.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify37.0ms

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

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

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))

series62.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- x 1.0) z)
30.0ms
(+ (* x y) (* (- x 1.0) z))

simplify99.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune60.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0.0b

Counts
40 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b
(* (- x 1.0) (sqrt z))
0.3b
(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
4.0ms
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms
(* (- x 1.0) (sqrt z))
9.0ms
(* (* (- x 1.0) (sqrt z)) (sqrt z))

series126.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
43.0ms
(* (- x 1.0) (sqrt z))
41.0ms
(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0321434
11326366
25002355

prune108.0ms

Filtered
69 candidates to 46 candidates (66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done011
Total69372

Merged error: 0.0b

Counts
72 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.1b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.1b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.2b
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* (- x 1.0) z))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series225.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* x y) (* (- x 1.0) z))
83.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
81.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
32.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0264946
1991850
25002818

prune167.0ms

Filtered
110 candidates to 63 candidates (57.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done022
Total1094113

Merged error: 0.0b

Counts
113 → 4

localize16.0ms

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:
10.0ms
(* (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)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series729.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
159.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
161.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
163.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03171282
110361201
250011093

prune1.0s

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done033
Total994103

Merged error: 0.0b

Counts
103 → 4

regimes77.0ms

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

sample488.0ms

Algorithm
intervals
Results
283.0ms10186×body80valid

Profiling

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