Details

Time bar (total: 4.6s)

sample59.0ms

Algorithm
intervals
Results
30.0ms391×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune8.0ms

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: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.7b
(* (* a z) b)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
2.0ms
(+ x (* y z))
5.0ms
(+ (+ x (* y z)) (* t a))
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms
(* (* a z) b)

series176.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (* y z))
45.0ms
(+ (+ x (* y z)) (* t a))
80.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms
(* (* a z) b)

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0335378
11670347
25002342

prune153.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh011
Picked101
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize14.0ms

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))
3.5b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt b)
1.0ms
(cbrt b)
12.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt b)
167.0ms
(cbrt b)
46.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
99.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0258535
11318385
25001337

prune393.0ms

Filtered
86 candidates to 55 candidates (64.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New85186
Fresh044
Picked101
Done000
Total86591

Merged error: 0.0b

Counts
91 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt (* (cbrt b) (cbrt b)))
1.5b
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
3.5b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1 add-exp-log
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod add-log-exp
pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt b)
4.0ms
(cbrt (* (cbrt b) (cbrt b)))
15.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt b)
256.0ms
(cbrt (* (cbrt b) (cbrt b)))
66.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (cbrt b))))
104.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0351991
11635713
25002658

prune211.0ms

Filtered
94 candidates to 51 candidates (54.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh044
Picked011
Done000
Total93699

Merged error: 0.0b

Counts
99 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt (* (cbrt b) (cbrt b)))
1.5b
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))))
3.5b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1 add-exp-log
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod add-log-exp
pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt b)
4.0ms
(cbrt (* (cbrt b) (cbrt b)))
17.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt b)
266.0ms
(cbrt (* (cbrt b) (cbrt b)))
47.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (* (cbrt (* (cbrt b) (cbrt b))) (cbrt (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))))
106.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify62.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
03611348
11736963
25001727

prune250.0ms

Filtered
94 candidates to 50 candidates (53.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done011
Total946100

Merged error: 0.0b

Counts
100 → 6

regimes222.0ms

Accuracy

79.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.1b

bsearch106.0ms

Steps
ItersRangePoint
6
2536442329289888.5
11439518742290894.0
8790332393993859.0
9
-7.741954554095759e+49
-9.414885098726964e+41
-2.616812082338468e+45

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05449
15449

end0.0ms

sample895.0ms

Algorithm
intervals
Results
520.0ms11758×body80valid

Profiling

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