Details

Time bar (total: 2.4s)

sample27.0ms

Algorithm
intervals
Results
8.0ms322×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
05499
15499

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.3b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify27.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05090288

prune59.0ms

Filtered
20 candidates to 27 candidates (-35.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New20727
Fresh000
Picked011
Done000
Total20828

Merged error: 2.2b

Counts
28 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0))))))
2.4b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.4b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.4b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
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×flip3-- associate-*r* *-commutative flip-- unswap-sqr
Counts
4 → 66
Calls
4 calls:
12.0ms
(* x (* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0))))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0))))))
18.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
18.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
18.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
053521347

prune201.0ms

Filtered
64 candidates to 78 candidates (-21.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New75378
Fresh066
Picked101
Done011
Total761086

Merged error: 2.2b

Counts
86 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.4b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.4b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.4b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite10.0ms

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 pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+
1×flip3-- flip--
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
20.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
19.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
18.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05675937

prune256.0ms

Filtered
58 candidates to 64 candidates (-10.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh088
Picked011
Done011
Total641074

Merged error: 2.2b

Counts
74 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (+ 1.0 (* z (- y 1.0)))))
2.2b
(* x (+ 1.0 (* z (- y 1.0))))
2.2b
(* x (+ 1.0 (* z (- y 1.0))))
2.2b
(* x (+ 1.0 (* z (- y 1.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
4×flip3-+ flip-+ add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 77
Calls
4 calls:
4.0ms
(cbrt (* x (+ 1.0 (* z (- y 1.0)))))
5.0ms
(* x (+ 1.0 (* z (- y 1.0))))
6.0ms
(* x (+ 1.0 (* z (- y 1.0))))
5.0ms
(* x (+ 1.0 (* z (- y 1.0))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (* x (+ 1.0 (* z (- y 1.0)))))
10.0ms
(* x (+ 1.0 (* z (- y 1.0))))
11.0ms
(* x (+ 1.0 (* z (- y 1.0))))
11.0ms
(* x (+ 1.0 (* z (- y 1.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050211046

prune162.0ms

Filtered
64 candidates to 89 candidates (-39.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh077
Picked011
Done022
Total891099

Merged error: 2.2b

Counts
99 → 10

regimes507.0ms

Accuracy

0% (0.2b remaining)

Error of 3.5b against oracle of 3.3b and baseline of 3.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
1109

end0.0ms

sample608.0ms

Algorithm
intervals
Results
274.0ms10129×body80valid

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