Details

Time bar (total: 3.1s)

sample44.0ms

Algorithm
intervals
Results
15.0ms367×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.3b
(* (* a z) b)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 45
Calls
3 calls:
4.0ms
(+ (+ x (* y z)) (* t a))
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms
(* (* a z) b)

series45.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (+ x (* y z)) (* t a))
24.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms
(* (* a z) b)

simplify40.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0281329
11444298
25001297

prune67.0ms

Filtered
54 candidates to 39 candidates (27.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh011
Picked011
Done000
Total51556

Merged error: 0.0b

Counts
56 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.5b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.9b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*r*
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
11.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
8.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt b)
21.0ms
(cbrt b)
8.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
24.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0308573
11316444
25001385

prune98.0ms

Filtered
86 candidates to 50 candidates (41.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New81586
Fresh123
Picked101
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.7b
(* (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (cbrt b)))
1.1b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b))))
4.9b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1 add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
31×add-cbrt-cube
14×associate-*r*
13×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*l* *-commutative
1×pow1/3
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt b)
15.0ms
(* (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (cbrt b)))
11.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b))))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt b)
9.0ms
(* (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b)))) (cbrt (cbrt b)))
38.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt (* (cbrt b) (cbrt b))))
26.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify68.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04861188
12231999
25001971

prune101.0ms

Filtered
109 candidates to 58 candidates (46.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh246
Picked011
Done011
Total1107117

Merged error: 0.0b

Counts
117 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.7b
(* (* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b)))
1.1b
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (cbrt (cbrt b))))
4.9b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
110×pow1 add-exp-log
81×pow-prod-down prod-exp cbrt-unprod
59×add-cbrt-cube
12×cbrt-prod
11×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×associate-*l* *-commutative
1×pow1/3
Counts
4 → 124
Calls
4 calls:
1.0ms
(cbrt b)
22.0ms
(* (* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b)))
16.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (cbrt (cbrt b))))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt b)
9.0ms
(* (* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (cbrt (cbrt b)))) (cbrt (cbrt b)))
38.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (cbrt b)) (cbrt (cbrt b))))
27.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify80.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05691780
124981260
250021060

prune74.0ms

Filtered
136 candidates to 54 candidates (60.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh044
Picked011
Done022
Total1367143

Merged error: 0.0b

Counts
143 → 7

regimes627.0ms

Accuracy

75.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.0b

bsearch60.0ms

Steps
ItersRangePoint
8
1.1744703490451061e+76
1.2482194301773566e+80
1.2635447136488269e+78
8
-1.7881706930132236e+100
-2.3057457248122676e+96
-3.9867509752587316e+99

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03514
13514

end0.0ms

sample1.2s

Algorithm
intervals
Results
536.0ms11822×body80valid

Profiling

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