Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms343×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune6.0ms

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: 7.5b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
7.2b
(* 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)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (- x z))
43.0ms
(* t (* y (- x z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0201242
1924211
25001211

prune95.0ms

Filtered
60 candidates to 32 candidates (53.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New51960
Fresh101
Picked011
Done000
Total521062

Merged error: 0.0b

Counts
62 → 10

localize6.0ms

Local error

Found 1 expressions with local error:

8.1b
(* (* 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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* t y) (- x z))

simplify97.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177134
1820111
24326111
35002111

prune51.0ms

Filtered
29 candidates to 15 candidates (51.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New26329
Fresh268
Picked011
Done011
Total281139

Merged error: 0.0b

Counts
39 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
7.2b
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

rewrite63.0ms

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:
5.0ms
(cbrt (- x z))
5.0ms
(cbrt (- x z))
5.0ms
(cbrt (- x z))
37.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

series492.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x z))
143.0ms
(cbrt (- x z))
146.0ms
(cbrt (- x z))
57.0ms
(* t (* (* y (* (cbrt (- x z)) (cbrt (- x z)))) (cbrt (- x z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05481023
11645884
25001810

prune270.0ms

Filtered
107 candidates to 77 candidates (72.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1043107
Fresh358
Picked011
Done022
Total10711118

Merged error: 0.0b

Counts
118 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.9b
(* (* (cbrt t) (- x z)) y)
4.2b
(* (* (cbrt t) (cbrt t)) (* (* (cbrt t) (- x z)) y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r/
4×associate-*r* associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
8.0ms
(* (* (cbrt t) (- x z)) y)
17.0ms
(* (* (cbrt t) (cbrt t)) (* (* (cbrt t) (- x z)) y))

series606.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t)
171.0ms
(cbrt t)
190.0ms
(* (* (cbrt t) (- x z)) y)
70.0ms
(* (* (cbrt t) (cbrt t)) (* (* (cbrt t) (- x z)) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0329562
11557415
25001364

prune146.0ms

Filtered
84 candidates to 53 candidates (63.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh167
Picked101
Done123
Total86995

Merged error: 0.0b

Counts
95 → 9

regimes192.0ms

Accuracy

62.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 7.3b

bsearch53.0ms

Steps
ItersRangePoint
6
2.1328114102732436e-12
2.910802052541526e-11
1.1602899051058606e-11
7
-1.1194241628616399e+19
-6.359795264891544e+16
-4.575585301381938e+17

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

sample583.0ms

Algorithm
intervals
Results
326.0ms10735×body80valid