Details

Time bar (total: 2.1s)

sample29.0ms

Algorithm
intervals
Results
10.0ms350×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune7.0ms

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: 8.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.6b
(* t (* y (- x z)))

rewrite14.0ms

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)))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0201242
1924211
25001211

prune71.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 0.0b

Counts
61 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.8b
(* (* 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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* (* t y) (- x z))

simplify94.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune56.0ms

Filtered
16 candidates to 29 candidates (-81.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh167
Picked011
Done000
Total261137

Merged error: 0.0b

Counts
37 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (* t y) (- x z))
6.9b
(cbrt (* (* t y) (- x z)))
6.9b
(cbrt (* (* t y) (- x z)))
6.9b
(cbrt (* (* t y) (- x z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
7.0ms
(* (* t y) (- x z))
5.0ms
(cbrt (* (* t y) (- x z)))
5.0ms
(cbrt (* (* t y) (- x z)))
5.0ms
(cbrt (* (* t y) (- x z)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* t y) (- x z))
31.0ms
(cbrt (* (* t y) (- x z)))
31.0ms
(cbrt (* (* t y) (- x z)))
32.0ms
(cbrt (* (* t y) (- x z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0279455
11119405
25001393

prune105.0ms

Filtered
55 candidates to 71 candidates (-29.1%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New70171
Fresh099
Picked011
Done011
Total701282

Merged error: 0.0b

Counts
82 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (* t y) (- x z))
6.9b
(cbrt (* (* t y) (- x z)))
6.9b
(cbrt (* (* t y) (- x z)))
10.0b
(cbrt (* t y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r/
5×add-cube-cbrt associate-*r*
4×cbrt-div add-log-exp
3×cbrt-prod flip3-- pow1/3 pow-prod-down prod-exp flip-- cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 57
Calls
4 calls:
7.0ms
(* (* t y) (- x z))
5.0ms
(cbrt (* (* t y) (- x z)))
5.0ms
(cbrt (* (* t y) (- x z)))
2.0ms
(cbrt (* t y))

series90.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (* t y) (- x z))
34.0ms
(cbrt (* (* t y) (- x z)))
31.0ms
(cbrt (* (* t y) (- x z)))
13.0ms
(cbrt (* t y))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0322405
11227359
25001336

prune70.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New68169
Fresh099
Picked011
Done022
Total681381

Merged error: 0.0b

Counts
81 → 13

regimes403.0ms

Accuracy

60.6% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.8b

bsearch45.0ms

Steps
ItersRangePoint
8
5.004497051593286e-22
1.3372843063071854e-19
7.248098652400455e-20
10
-8.875980576167433e-22
-2.674592287567937e-33
-6.8509266604995755e-22

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0319
1399
2439
3439

end0.0ms

sample819.0ms

Algorithm
intervals
Results
334.0ms10578×body80valid

Profiling

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