Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
11.0ms341×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0231226
11033189
25002189

prune70.0ms

Filtered
55 candidates to 35 candidates (36.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50555
Fresh000
Picked011
Done000
Total50656

Merged error: 0.0b

Counts
56 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
22.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt a)
22.0ms
(cbrt a)
22.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0500954
12500845
25001783

prune119.0ms

Filtered
116 candidates to 84 candidates (27.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh134
Picked011
Done011
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt a))
0.6b
(cbrt (cbrt a))
0.7b
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
3.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
135×cbrt-prod
128×prod-exp cbrt-unprod
127×add-cbrt-cube
82×cbrt-undiv div-exp
81×associate-*r*
80×times-frac
78×add-sqr-sqrt
72×*-un-lft-identity
54×add-cube-cbrt
11×pow1
9×distribute-lft-out-- difference-of-squares
8×associate-*l*
6×frac-times associate-*l/
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 244
Calls
4 calls:
2.0ms
(cbrt (cbrt a))
2.0ms
(cbrt (cbrt a))
40.0ms
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt a))
32.0ms
(cbrt (cbrt a))
19.0ms
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
79.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014335965
150014679

prune230.0ms

Filtered
256 candidates to 164 candidates (35.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2551256
Fresh033
Picked011
Done022
Total2557262

Merged error: 0b

Counts
262 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt (cbrt a))
0.6b
(pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
516×cbrt-prod
341×add-sqr-sqrt
331×times-frac
255×*-un-lft-identity
183×add-cube-cbrt
166×unpow-prod-down cube-prod
158×associate-*r*
43×add-exp-log
36×distribute-lft-out-- difference-of-squares
32×unswap-sqr
16×prod-exp
12×div-exp add-cbrt-cube
8×pow-exp
7×associate-*l*
5×pow1 div-inv
4×pow-to-exp cbrt-unprod add-log-exp sqr-pow
3×cbrt-undiv cube-div pow-unpow
2×cube-mult pow1/3 unpow3 rem-cube-cbrt
1×frac-times pow-pow associate-*r/ associate-*l/ *-commutative
Counts
4 → 420
Calls
4 calls:
1.0ms
(cbrt a)
2.0ms
(cbrt (cbrt a))
18.0ms
(pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3)
55.0ms
(* (/ y (* (cbrt a) (cbrt a))) (pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3))

series148.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
32.0ms
(cbrt (cbrt a))
68.0ms
(pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3)
26.0ms
(* (/ y (* (cbrt a) (cbrt a))) (pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3))

simplify84.0ms

Algorithm
egg-herbie
Counts
432 → 432
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015055948
150025108

prune231.0ms

Filtered
432 candidates to 147 candidates (66.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4320432
Fresh033
Picked011
Done033
Total4327439

Merged error: 0b

Counts
439 → 7

regimes785.0ms

Accuracy

41.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03637
13637

end0.0ms

sample930.0ms

Algorithm
intervals
Results
343.0ms10692×body80valid

Profiling

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