Details

Time bar (total: 3.2s)

sample554.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 17.467207%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
10.0ms256×body80valid
0.0ms15×body80invalid

simplify219.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune71.0ms

Filtered
33 candidates to 52 candidates (-57.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*r*
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*r/
+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0257266
11177224
25002219

prune57.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh134
Picked011
Done011
Total47653

Merged error: 0.0b

Counts
53 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube
add-log-exp
pow1/3 associate-*r* associate-*l*
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
5.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
23.0ms
(cbrt z)
16.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

simplify124.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0198468
1747375
23777333
35001325

prune79.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh033
Picked011
Done022
Total69675

Merged error: 0.0b

Counts
75 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
1.0b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.3b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
associate-*r*
add-cube-cbrt
add-log-exp
distribute-lft-out-- difference-of-squares
pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
19.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
13.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- y 1.0))
7.0ms
(cbrt (- y 1.0))
11.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
32.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06641639
125771433
250021371

prune212.0ms

Filtered
77 candidates to 130 candidates (-68.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1291130
Fresh022
Picked011
Done033
Total1297136

Merged error: 0b

Counts
136 → 7

regimes407.0ms

Accuracy

0% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample955.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 17.467207%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
232.0ms8000×body80valid
10.0ms373×body80invalid

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