Details

Time bar (total: 5.2s)

sample32.0ms

Algorithm
intervals
Results
15.0ms364×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.7b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
8.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
4.0ms
(- (* x y) (* (* z 9.0) t))
10.0ms
(* (* z 9.0) t)
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series171.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (* x y) (* (* z 9.0) t))
22.0ms
(* (* z 9.0) t)
80.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0346438
11623375
25002375

prune229.0ms

Filtered
71 candidates to 52 candidates (73.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New611071
Fresh000
Picked101
Done000
Total621072

Merged error: 8.8b

Counts
72 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
6.3b
(/ (* x y) a)
6.6b
(/ (* t z) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series226.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
34.0ms
(* 4.5 (/ (* t z) a))
25.0ms
(/ (* x y) a)
25.0ms
(/ (* t z) a)

simplify75.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0405538
12002467
25001467

prune304.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New969105
Fresh459
Picked101
Done000
Total10114115

Merged error: 0.5b

Counts
115 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
5.2b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.3b
(/ (* x y) a)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 110
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
16.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.0ms
(/ (* x y) a)

series522.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt a)
211.0ms
(cbrt a)
61.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
29.0ms
(/ (* x y) a)

simplify91.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0527796
12748641
25001604

prune469.0ms

Filtered
122 candidates to 94 candidates (77.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh21113
Picked101
Done000
Total12313136

Merged error: 0.0b

Counts
136 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

6.3b
(/ (* x y) a)
11.8b
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
11.8b
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
11.8b
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-div add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod frac-times times-frac pow1/3 associate-*r/ associate-*l/ associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 65
Calls
4 calls:
5.0ms
(/ (* x y) a)
10.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
11.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
11.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* x y) a)
114.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
107.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
110.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))

simplify105.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0212598
1756532
23269487
35001487

prune334.0ms

Filtered
77 candidates to 66 candidates (85.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh01212
Picked011
Done000
Total771390

Merged error: 0.0b

Counts
90 → 13

regimes1.0s

Accuracy

89.2% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.9b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05132
15132

end0.0ms

sample817.0ms

Algorithm
intervals
Results
474.0ms11091×body80valid

Profiling

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