Details

Time bar (total: 4.3s)

sample28.0ms

Algorithm
intervals
Results
13.0ms305×body80valid

simplify15.0ms

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: 3.6b

Counts
2 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

rewrite10.0ms

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:
9.0ms
(* x (- 1.0 (* y z)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* x (- 1.0 (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune54.0ms

Filtered
27 candidates to 17 candidates (63.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New19827
Fresh000
Picked011
Done000
Total19928

Merged error: 3.5b

Counts
28 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.3b
(* (cbrt x) (- 1.0 (* y z)))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite24.0ms

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)
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
182.0ms
(cbrt x)
179.0ms
(* (cbrt x) (- 1.0 (* y z)))
70.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0298655
11298490
25001423

prune170.0ms

Filtered
94 candidates to 57 candidates (60.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92294
Fresh167
Picked011
Done011
Total9310103

Merged error: 3.4b

Counts
103 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(* (cbrt (cbrt x)) (- 1.0 (* y z)))
1.0b
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
34×distribute-rgt-in distribute-lft-in
32×pow1 add-exp-log
22×cbrt-prod
19×pow-prod-down prod-exp cbrt-unprod
17×add-sqr-sqrt
16×add-cbrt-cube
14×sub-neg associate-*l*
12×associate-*r/
11×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
1×pow1/3
Counts
4 → 121
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
7.0ms
(* (cbrt (cbrt x)) (- 1.0 (* y z)))
9.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
15.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (cbrt x))
278.0ms
(* (cbrt (cbrt x)) (- 1.0 (* y z)))
187.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
79.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04871736
120581446
250021419

prune248.0ms

Filtered
133 candidates to 76 candidates (57.1%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1312133
Fresh077
Picked011
Done022
Total13112143

Merged error: 3.4b

Counts
143 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z)))
1.0b
(* (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z)))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
72×pow1 add-exp-log
51×pow-prod-down prod-exp cbrt-unprod
34×distribute-rgt-in distribute-lft-in add-cbrt-cube
14×sub-neg
12×associate-*r/
10×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l*
5×associate-*r*
4×add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3
Counts
4 → 134
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
16.0ms
(* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z)))
24.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z))))
27.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z)))))

series775.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (cbrt x))
271.0ms
(* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z)))
181.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z))))
75.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt (cbrt (cbrt x))) (cbrt (cbrt (cbrt x)))) (cbrt (cbrt (cbrt x)))) (- 1.0 (* y z)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06083571
128632193
250011931

prune276.0ms

Filtered
146 candidates to 71 candidates (48.6%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1460146
Fresh088
Picked011
Done033
Total14612158

Merged error: 3.4b

Counts
158 → 12

regimes292.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample446.0ms

Algorithm
intervals
Results
245.0ms9564×body80valid

Profiling

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