Details

Time bar (total: 3.8s)

sample31.0ms

Algorithm
intervals
Results
14.0ms349×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

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: 11.4b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
10.7b
(/ (- (* 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:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series135.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* z 9.0) t)
54.0ms
(- (* x y) (* (* z 9.0) t))
63.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune177.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New501363
Fresh000
Picked101
Done000
Total511364

Merged error: 11.0b

Counts
64 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* 9.0 (* t z))
0.4b
(- (* x y) (* 9.0 (* t z)))
10.7b
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite17.0ms

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

series139.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* 9.0 (* t z))
53.0ms
(- (* x y) (* 9.0 (* t z)))
66.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311398
11209340
25002340

prune133.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh01212
Picked011
Done000
Total631376

Merged error: 11.0b

Counts
76 → 13

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))
6.8b
(/ (* x y) a)
7.7b
(/ (* t z) a)

rewrite24.0ms

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)
7.0ms
(/ (* t z) a)

series172.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune195.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh8311
Picked101
Done101
Total9810108

Merged error: 0.5b

Counts
108 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.2b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
6.8b
(/ (* x y) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×prod-exp cbrt-unprod
15×cbrt-prod
10×cbrt-undiv div-exp
9×pow1
4×add-log-exp
3×associate-*r/ pow-prod-down associate-/r*
2×pow1/3 div-inv
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series422.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
172.0ms
(cbrt a)
59.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
19.0ms
(/ (* x y) a)

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0541758
13024564
25002539

prune268.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh369
Picked011
Done000
Total1089117

Merged error: 0.0b

Counts
117 → 9

regimes859.0ms

Accuracy

87.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04627
14627

end0.0ms

sample822.0ms

Algorithm
intervals
Results
455.0ms11272×body80valid