Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 3.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.9b
(* x (- 1.0 (* y z)))

rewrite8.0ms

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)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- 1.0 (* y z))
51.0ms
(* x (- 1.0 (* y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0143187
1560166
22091166
35003166

prune75.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New33942
Fresh000
Picked101
Done000
Total34943

Merged error: 3.0b

Counts
43 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
6.4b
(* x (- (* 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:
3.0ms
(+ (* x 1.0) (* x (- (* y z))))
4.0ms
(* x (- (* y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* x 1.0) (* x (- (* y z))))
25.0ms
(* x (- (* y z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0181204
11018178
25001174

prune76.0ms

Filtered
42 candidates to 33 candidates (78.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh448
Picked011
Done000
Total45651

Merged error: 0.0b

Counts
51 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (- y)) z))
4.0b
(* (* x (- y)) z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
1×+-commutative flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x (- y)) z))
5.0ms
(* (* x (- y)) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x 1.0) (* (* x (- y)) z))
25.0ms
(* (* x (- y)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0203197
1955172
25001160

prune65.0ms

Filtered
38 candidates to 28 candidates (73.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New36238
Fresh134
Picked011
Done011
Total37744

Merged error: 0b

Counts
44 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.8b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 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:
10.0ms
(* x (* (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)))

series776.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
224.0ms
(cbrt (- 1.0 (* y z)))
231.0ms
(cbrt (- 1.0 (* y z)))
225.0ms
(cbrt (- 1.0 (* y z)))

simplify109.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0340830
11061774
24437756
35002756

prune206.0ms

Filtered
78 candidates to 66 candidates (84.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done022
Total78785

Merged error: 0b

Counts
85 → 7

regimes266.0ms

Accuracy

94.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample415.0ms

Algorithm
intervals
Results
231.0ms9658×body80valid

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