Details

Time bar (total: 5.7s)

analyze1.1s

Algorithm
search

sample30.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms78×body80invalid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.7b
(- (* x y) (* (* z 9.0) t))
7.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite15.0ms

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:
4.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series33.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
18.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune128.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 7.8b

Counts
64 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.3b
(* 4.5 (/ (* t z) a))
6.1b
(/ (* x y) a)
6.5b
(/ (* t z) a)

rewrite22.0ms

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)

series37.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
5.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0381486
11921419
25001419

prune141.0ms

Filtered
62 candidates to 95 candidates (-53.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh6410
Picked101
Done000
Total9511106

Merged error: 1.4b

Counts
106 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.3b
(* 4.5 (/ t (/ a z)))
5.4b
(/ t (/ a z))
6.1b
(/ (* x y) a)

rewrite40.0ms

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:
6.0ms
(* 0.5 (/ (* x y) a))
14.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
4.0ms
(/ (* x y) a)

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(* 4.5 (/ t (/ a z)))
5.0ms
(/ t (/ a z))
5.0ms
(/ (* x y) a)

simplify85.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07151056
13690965
25001965

prune219.0ms

Filtered
150 candidates to 196 candidates (-30.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1933196
Fresh3710
Picked101
Done000
Total19710207

Merged error: 0.0b

Counts
207 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.9b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.4b
(/ t (/ a z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-*l* div-inv
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.0ms
(/ t (/ a z))

series61.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
22.0ms
(cbrt a)
13.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.0ms
(/ t (/ a z))

simplify79.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07541157
135231046
25001993

prune148.0ms

Filtered
125 candidates to 163 candidates (-30.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1621163
Fresh189
Picked101
Done000
Total1649173

Merged error: 0.0b

Counts
173 → 9

regimes1.3s

Accuracy

93.7% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
04851
15151
25730
36030
46630
57730
68430
78530
88530

end0.0ms

analyze1.1s

Algorithm
search

sample849.0ms

Algorithm
intervals
Results
356.0ms8000×body80valid
134.0ms3241×body80invalid

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