Details

Time bar (total: 13.9s)

sample126.0ms

Algorithm
intervals
Results
26.0ms530×pre80true
26.0ms112×body320valid
20.0ms274×body80nan
15.0ms95×body160valid
4.0ms13×body640valid
3.0ms36×body80valid

simplify72.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
26.8b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
127.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
24.0ms
(* (* 3.0 a) c)
72.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series334.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
158.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
22.0ms
(* (* 3.0 a) c)
105.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.1s

Counts
87 → 87
Iterations
IterNodes
done5000
22514
1426
0155

prune595.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune65.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 78
Calls
3 calls:
21.0ms
(* -1.5 (/ (* a c) b))
8.0ms
(/ (* a c) b)
18.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series123.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* -1.5 (/ (* a c) b))
34.0ms
(/ (* a c) b)
45.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
87 → 87
Iterations
IterNodes
done5000
22793
1391
0123

prune493.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.4b

localize74.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))
0.4b
(* (* (* a a) a) (* (* c c) c))
0.4b
(/ (* -1.5 (cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))) (* 3.0 a))
0.6b
(cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
223×add-exp-log
221×add-cbrt-cube
142×prod-exp cbrt-unprod
128×pow1
52×pow-prod-down
40×pow-plus pow-prod-up
34×cbrt-undiv div-exp
8×pow2 pow-sqr
5×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×times-frac div-inv
2×cbrt-div clear-num associate-/r* frac-2neg pow3 associate-/l*
1×pow1/3 associate-*r* associate-*l* associate-*r/ *-commutative associate-/l/
Counts
4 → 171
Calls
4 calls:
118.0ms
(/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))
132.0ms
(* (* (* a a) a) (* (* c c) c))
13.0ms
(/ (* -1.5 (cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))) (* 3.0 a))
108.0ms
(cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))
113.0ms
(* (* (* a a) a) (* (* c c) c))
53.0ms
(/ (* -1.5 (cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))) (* 3.0 a))
53.0ms
(cbrt (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))

simplify1.5s

Counts
183 → 183
Iterations
IterNodes
done5001
1727
0200

prune497.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.4b

regimes861.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.3s3545×body320valid
840.0ms3048×body160valid
667.0ms8109×body80nan
606.0ms16109×pre80true
253.0ms516×body640valid
58.0ms891×body80valid