Details

Time bar (total: 5.5s)

analyze656.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.467207%

Guaranteed chance to sample good point: 85.578201%

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms12×body80invalid

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 3.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×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
1×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)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
15.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune75.0ms

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)))
4.2b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-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))

series22.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
9.0ms
(* (* x z) (- y 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune67.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh044
Picked011
Done011
Total45853

Merged error: 0.0b

Counts
53 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.3b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
3.0b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
11.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
20.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
10.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
12.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
30.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify96.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07891993
133251768
250011670

prune314.0ms

Filtered
95 candidates to 171 candidates (-80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1701171
Fresh055
Picked101
Done022
Total1718179

Merged error: 0.0b

Counts
179 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.3b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))
3.0b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
1224×cbrt-div
580×frac-times
423×flip3-- flip--
382×associate-*r/
194×associate-*l/
71×pow1
61×add-exp-log
56×cbrt-prod
52×add-sqr-sqrt
48×*-un-lft-identity
43×pow-prod-down
41×prod-exp cbrt-unprod
35×add-cbrt-cube
20×add-cube-cbrt swap-sqr
18×associate-*r* associate-*l*
12×pow1/3 distribute-lft-out--
8×difference-of-squares unswap-sqr
4×pow-sqr *-commutative pow-prod-up add-log-exp
2×pow2 pow-plus
Counts
4 → 424
Calls
4 calls:
11.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
11.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
37.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
10.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
13.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))
30.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify134.0ms

Algorithm
egg-herbie
Counts
436 → 436
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0237012185
1500111861

prune1.7s

Filtered
229 candidates to 436 candidates (-90.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4360436
Fresh055
Picked011
Done022
Total4368444

Merged error: 0.0b

Counts
444 → 8

regimes701.0ms

Accuracy

87.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

analyze543.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.467207%

Guaranteed chance to sample good point: 85.578201%

sample413.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
10.0ms359×body80invalid

Profiling

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