Details

Time bar (total: 3.1s)

sample30.0ms

Algorithm
intervals
Results
14.0ms344×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.3b
(* t (* y (- x z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
6.0ms
(* y (- x z))
7.0ms
(* t (* y (- x z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* y (- x z))
43.0ms
(* t (* y (- x z)))

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune91.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New501060
Fresh101
Picked011
Done000
Total511162

Merged error: 0.0b

Counts
62 → 11

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b
(* (* t y) (- x z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* t y) (- x z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (* t y) (- x z))

simplify104.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune52.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New25429
Fresh459
Picked011
Done011
Total291140

Merged error: 0.0b

Counts
40 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
6.3b
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
58×associate-*r/
30×flip3-- flip--
28×frac-times
18×pow1 add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity associate-*l/
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
20.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

series515.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- x z))
161.0ms
(cbrt (- x z))
166.0ms
(cbrt (- x z))
44.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05481023
11645884
25001810

prune264.0ms

Filtered
107 candidates to 77 candidates (72.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh178
Picked101
Done022
Total10711118

Merged error: 0.0b

Counts
118 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
2.8b
(* (* t (* y (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
3.6b
(* t (* y (* (cbrt (- x z)) (cbrt (- x z)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*r/
70×cbrt-div
35×flip3-- flip--
32×frac-times
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down associate-*l/ prod-exp cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt associate-*r*
4×associate-*l* add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- x z))
7.0ms
(cbrt (- x z))
20.0ms
(* (* t (* y (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
14.0ms
(* t (* y (* (cbrt (- x z)) (cbrt (- x z)))))

series463.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (- x z))
162.0ms
(cbrt (- x z))
53.0ms
(* (* t (* y (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
80.0ms
(* t (* y (* (cbrt (- x z)) (cbrt (- x z)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05601443
120111272
250011200

prune270.0ms

Filtered
126 candidates to 77 candidates (61.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh088
Picked011
Done022
Total12611137

Merged error: 0.0b

Counts
137 → 11

regimes210.0ms

Accuracy

59.4% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 6.8b

bsearch38.0ms

Steps
ItersRangePoint
7
4.765655068104091e-105
3.6685162187832383e-103
3.993817860268477e-104
3
-5.4987240076437046e-09
-4.524607791815137e-09
-5.437841744154419e-09

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample642.0ms

Algorithm
intervals
Results
352.0ms10715×body80valid

Profiling

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