Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
10.0ms319×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

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: 2.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.4b
(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- 1.0 (* y z))
48.0ms
(* x (- 1.0 (* y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune77.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New34842
Fresh000
Picked101
Done000
Total35843

Merged error: 2.5b

Counts
43 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (neg (* y z))))
6.4b
(* x (neg (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* x (neg (* y z))))
5.0ms
(* x (neg (* y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* x (neg (* y z))))
26.0ms
(* x (neg (* y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0181204
11018178
25001174

prune75.0ms

Filtered
42 candidates to 32 candidates (76.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh347
Picked011
Done000
Total42850

Merged error: 0.0b

Counts
50 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

2.4b
(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
17.0ms
(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series715.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
224.0ms
(cbrt (- 1.0 (* y z)))
223.0ms
(cbrt (- 1.0 (* y z)))
222.0ms
(cbrt (- 1.0 (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04471303
113171199
250011122

prune238.0ms

Filtered
98 candidates to 74 candidates (75.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh066
Picked011
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (cbrt x) (- 1.0 (* y z)))
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series648.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
186.0ms
(cbrt x)
219.0ms
(* (cbrt x) (- 1.0 (* y z)))
68.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0298655
11298490
25001423

prune157.0ms

Filtered
94 candidates to 60 candidates (63.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New93194
Fresh055
Picked011
Done022
Total939102

Merged error: 0.0b

Counts
102 → 9

regimes217.0ms

Accuracy

75.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample422.0ms

Algorithm
intervals
Results
232.0ms9664×body80valid

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