Details

Time bar (total: 4.7s)

sample49.0ms

Algorithm
intervals
Results
25.0ms419×body80valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

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: 20.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* x 9.0) y)
0.7b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.9b
(* (* (* z 4.0) t) a)
16.5b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series326.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 9.0) y)
77.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms
(* (* (* z 4.0) t) a)
200.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify73.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune250.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 6.9b

Counts
90 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ b (* z c))
7.4b
(/ (* a t) c)
9.4b
(/ (* x y) (* z c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series109.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
22.0ms
(/ (* a t) c)
28.0ms
(/ (* x y) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0420503
12365384
25002384

prune259.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New959104
Fresh8412
Picked101
Done000
Total10413117

Merged error: 0.0b

Counts
117 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.7b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.1b
(/ b (* z c))
9.4b
(/ (* x y) (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt c)
14.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series277.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt c)
51.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
20.0ms
(/ b (* z c))
31.0ms
(/ (* x y) (* z c))

simplify77.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0635852
13415669
25002634

prune413.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh01212
Picked011
Done000
Total12413137

Merged error: 0.0b

Counts
137 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ b (* z c))
6.5b
(/ a (/ c t))
9.4b
(/ (* x y) (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
6.0ms
(/ a (/ c t))
6.0ms
(/ (* x y) (* z c))

series116.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
21.0ms
(/ a (/ c t))
32.0ms
(/ (* x y) (* z c))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0634870
13152746
25001746

prune380.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh2911
Picked011
Done011
Total15412166

Merged error: 0.0b

Counts
166 → 12

regimes693.0ms

Accuracy

28.3% (7.2b remaining)

Error of 7.6b against oracle of 0.3b and baseline of 10.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05942
15942

end0.0ms

sample1.3s

Algorithm
intervals
Results
743.0ms12827×body80valid