Details

Time bar (total: 4.1s)

sample40.0ms

Algorithm
intervals
Results
20.0ms364×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune2.0ms

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

localize9.0ms

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))

rewrite18.0ms

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×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
6.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series142.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
72.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune168.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New531063
Fresh000
Picked101
Done000
Total541064

Merged error: 8.8b

Counts
64 → 10

localize10.0ms

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)

rewrite21.0ms

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/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series173.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify51.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune201.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New86995
Fresh459
Picked101
Done000
Total9114105

Merged error: 0.5b

Counts
105 → 14

localize14.0ms

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)

rewrite24.0ms

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×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 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series419.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a)
176.0ms
(cbrt a)
47.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
22.0ms
(/ (* x y) a)

simplify86.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0521766
12741611
25001574

prune322.0ms

Filtered
114 candidates to 86 candidates (75.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh21113
Picked101
Done000
Total11513128

Merged error: 0.0b

Counts
128 → 13

localize25.0ms

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))))

rewrite29.0ms

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 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 → 57
Calls
4 calls:
4.0ms
(/ (* x y) a)
8.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
8.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
8.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))

series286.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* x y) a)
89.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
88.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))
90.0ms
(cbrt (* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a))))

simplify73.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0208538
1752472
23257427
35001427

prune245.0ms

Filtered
69 candidates to 58 candidates (84.1%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh01212
Picked011
Done000
Total691382

Merged error: 0.0b

Counts
82 → 13

regimes872.0ms

Accuracy

89.2% (0.8b remaining)

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

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05132
15132

end0.0ms

sample765.0ms

Algorithm
intervals
Results
447.0ms11091×body80valid

Profiling

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