Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
15.0ms330×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 9.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
8.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

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:
3.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series130.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (* x y) (* (* z 9.0) t))
16.0ms
(* (* z 9.0) t)
63.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326399
11408341
25002341

prune153.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New511263
Fresh000
Picked101
Done000
Total521264

Merged error: 8.5b

Counts
64 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.4b
(- (* x y) (* z (* 9.0 t)))
8.4b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite20.0ms

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-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* z (* 9.0 t))
3.0ms
(- (* x y) (* z (* 9.0 t)))
10.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* z (* 9.0 t))
53.0ms
(- (* x y) (* z (* 9.0 t)))
62.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0318398
11325340
25002340

prune125.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh01111
Picked011
Done000
Total631275

Merged error: 8.5b

Counts
75 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ (* t z) a))
5.9b
(/ (* x y) a)
8.3b
(/ (* t z) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 96
Calls
4 calls:
7.0ms
(* 0.5 (/ (* x y) a))
7.0ms
(* 4.5 (/ (* t z) a))
7.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series96.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 0.5 (/ (* x y) a))
26.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0380456
12036370
25002370

prune215.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1017108
Fresh4610
Picked101
Done101
Total10713120

Merged error: 0.8b

Counts
120 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ t (/ a z)))
5.9b
(/ (* x y) a)
7.2b
(/ t (/ a z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
51×associate-*r*
32×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l*
4×associate-/l* add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
4 → 184
Calls
4 calls:
7.0ms
(* 0.5 (/ (* x y) a))
15.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ (* x y) a)
6.0ms
(/ t (/ a z))

series97.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.5 (/ (* x y) a))
26.0ms
(* 4.5 (/ t (/ a z)))
23.0ms
(/ (* x y) a)
21.0ms
(/ t (/ a z))

simplify92.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07151056
13690965
25001965

prune456.0ms

Filtered
196 candidates to 150 candidates (76.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1924196
Fresh5712
Picked101
Done000
Total19811209

Merged error: 0b

Counts
209 → 11

regimes616.0ms

Accuracy

86.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04230
14230

end0.0ms

sample807.0ms

Algorithm
intervals
Results
465.0ms11058×body80valid

Profiling

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