Details

Time bar (total: 2.3s)

sample27.0ms

Algorithm
intervals
Results
10.0ms342×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 7.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.1b
(* 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)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- x z))
10.0ms
(* t (* y (- x z)))

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0201242
1924211
25001211

prune74.0ms

Filtered
32 candidates to 60 candidates (-87.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New52860
Fresh000
Picked011
Done000
Total52961

Merged error: 0.1b

Counts
61 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b
(* (* 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))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (* t y) (- x z))

simplify96.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune54.0ms

Filtered
15 candidates to 29 candidates (-93.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New26329
Fresh167
Picked011
Done011
Total271138

Merged error: 0.1b

Counts
38 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.1b
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
4.5b
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
19.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
14.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- x z))
25.0ms
(cbrt (- x z))
13.0ms
(* (* (* t y) (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z)))
26.0ms
(* (* t y) (* (cbrt (- x z)) (cbrt (- x z))))

simplify65.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05661501
121151297
250011203

prune155.0ms

Filtered
76 candidates to 130 candidates (-71.1%)
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1246130
Fresh178
Picked011
Done022
Total12516141

Merged error: 0.0b

Counts
141 → 16

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.1b
(* (* t (* y (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
4.2b
(* 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))
3.0ms
(cbrt (- x z))
21.0ms
(* (* t (* y (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
15.0ms
(* t (* y (* (cbrt (- x z)) (cbrt (- x z)))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- x z))
25.0ms
(cbrt (- x z))
11.0ms
(* (* t (* y (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
26.0ms
(* t (* y (* (cbrt (- x z)) (cbrt (- x z)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05751461
120331290
250011204

prune106.0ms

Filtered
76 candidates to 126 candidates (-65.8%)
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1260126
Fresh01212
Picked011
Done033
Total12616142

Merged error: 0.0b

Counts
142 → 16

regimes462.0ms

Accuracy

61.2% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 6.7b

bsearch42.0ms

Steps
ItersRangePoint
8
1.5258029315016124e-07
6.872908877045804e-05
1.8759431042222842e-07
9
-1.2860044766625187e+40
-1.1480979018064418e+32
-1.467287627307236e+38

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample754.0ms

Algorithm
intervals
Results
316.0ms10698×body80valid

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