Details

Time bar (total: 3.1s)

sample32.0ms

Algorithm
intervals
Results
11.0ms342×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02319
12319

prune15.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
7.0b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
6.0ms
(* y (- z t))
4.0ms
(- x (/ (* y (- z t)) a))
7.0ms
(/ (* y (- z t)) a)

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* y (- z t))
14.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(/ (* y (- z t)) a)

simplify35.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05221627

prune82.0ms

Filtered
47 candidates to 72 candidates (-53.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh011
Picked011
Done000
Total68674

Merged error: 0.0b

Counts
74 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.6b
(/ (* (/ y (* (cbrt a) (cbrt a))) (- z t)) (cbrt a))
4.4b
(* (/ y (* (cbrt a) (cbrt a))) (- z t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-sqr-sqrt add-cbrt-cube
15×*-un-lft-identity
13×add-cube-cbrt
12×cbrt-prod
10×times-frac
8×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 associate-/r*
5×associate-*r* associate-/l/
4×frac-times flip3-- associate-*r/ flip-- add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3 associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
12.0ms
(/ (* (/ y (* (cbrt a) (cbrt a))) (- z t)) (cbrt a))
11.0ms
(* (/ y (* (cbrt a) (cbrt a))) (- z t))

series117.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
21.0ms
(cbrt a)
17.0ms
(/ (* (/ y (* (cbrt a) (cbrt a))) (- z t)) (cbrt a))
57.0ms
(* (/ y (* (cbrt a) (cbrt a))) (- z t))

simplify66.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050521010

prune127.0ms

Filtered
75 candidates to 108 candidates (-44.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh134
Picked011
Done011
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×flip3-- flip--
2×frac-times associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg diff-log associate-*r/ div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
3.0ms
(- x (* (- z t) (/ y a)))
9.0ms
(* (- z t) (/ y a))

series28.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- x (* (- z t) (/ y a)))
11.0ms
(* (- z t) (/ y a))

simplify78.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05101573

prune67.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh044
Picked011
Done022
Total55863

Merged error: 0b

Counts
63 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
1.6b
(/ (* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) (cbrt a))
4.1b
(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
240×cbrt-div
180×frac-times
120×flip3-- flip--
107×add-exp-log
88×associate-*r/
69×associate-*l/
54×prod-exp
53×associate-/l/
44×times-frac
43×add-sqr-sqrt
38×associate-*l*
34×*-un-lft-identity
32×add-cube-cbrt
31×add-cbrt-cube
28×div-exp cbrt-unprod
24×cbrt-prod
20×unpow-prod-down
18×pow1
12×cbrt-undiv
9×associate-*r* pow-prod-down
6×pow-to-exp pow-exp associate-/r* unswap-sqr
4×unpow2 add-log-exp sqr-pow
2×*-commutative div-inv
1×frac-2neg pow1/3 clear-num associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 273
Calls
4 calls:
1.0ms
(cbrt a)
23.0ms
(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
31.0ms
(/ (* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) (cbrt a))
19.0ms
(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t))))

series148.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt a)
56.0ms
(* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
17.0ms
(/ (* (* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) (cbrt a))
53.0ms
(* (/ y (pow (cbrt a) 2)) (* (cbrt (- z t)) (cbrt (- z t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
285 → 285
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049755597
149755597

prune344.0ms

Filtered
192 candidates to 285 candidates (-48.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2850285
Fresh044
Picked011
Done033
Total2858293

Merged error: 0b

Counts
293 → 8

regimes779.0ms

Accuracy

84% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02347
12347

end0.0ms

sample896.0ms

Algorithm
intervals
Results
343.0ms10689×body80valid

Profiling

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