Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
12.0ms335×body80valid

simplify232.0ms

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

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: 4.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.9b
(* 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)))

series77.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- 1.0 y) z)
45.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune78.0ms

Filtered
52 candidates to 33 candidates (63.5%)
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
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))

series118.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
50.0ms
(* (* x z) (- y 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0257266
11177224
25002219

prune74.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh134
Picked011
Done011
Total46753

Merged error: 0.0b

Counts
53 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.8b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite61.0ms

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))
15.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
21.0ms
(* (* (* 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))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (- y 1.0))
129.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
67.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
167.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify108.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07871899
133051673
250021575

prune355.0ms

Filtered
171 candidates to 95 candidates (55.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1683171
Fresh134
Picked101
Done022
Total1708178

Merged error: 0b

Counts
178 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
4.1b
(cbrt (- 1.0 (* (- 1.0 y) z)))
4.1b
(cbrt (- 1.0 (* (- 1.0 y) z)))
4.1b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
11.0ms
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
95.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
94.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))
97.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0388959
11083887
24152842
35001842

prune223.0ms

Filtered
78 candidates to 66 candidates (84.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh055
Picked011
Done022
Total78886

Merged error: 0b

Counts
86 → 8

regimes328.0ms

Accuracy

94.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample479.0ms

Algorithm
intervals
Results
284.0ms10120×body80valid

Profiling

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