Details

Time bar (total: 21.6s)

sample148.0ms

Algorithm
intervals
Results
42.0ms123×body320valid
26.0ms486×pre80true
24.0ms230×body80nan
19.0ms83×body160valid
9.0ms20×body640valid
4.0ms30×body80valid

simplify155.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 3 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
25.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite203.0ms

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 insert-posit16
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 → 79
Calls
4 calls:
14.0ms
(- (* b b) (* (* 3 a) c))
91.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms
(* (* 3 a) c)
63.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series382.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* b b) (* (* 3 a) c))
139.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
24.0ms
(* (* 3 a) c)
137.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2121
32121
21457
1423
0158

prune960.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.3b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune54.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite69.0ms

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* insert-posit16 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 → 81
Calls
3 calls:
17.0ms
(/ (* a c) b)
25.0ms
(* -3/2 (/ (* a c) b))
24.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series101.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
42.0ms
(* -3/2 (/ (* a c) b))
37.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify867.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune829.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ -27/8 (* a (* a a))) (/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27))
0.3b
(/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27)
0.5b
(* (/ (* a c) b) (/ (* a c) b))
0.7b
(cbrt (* (/ -27/8 (* a (* a a))) (/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27)))

rewrite681.0ms

Algorithm
rewrite-expression-head
Rules
1379×add-cbrt-cube add-exp-log
664×prod-exp cbrt-unprod
543×cbrt-undiv div-exp
22×add-sqr-sqrt
21×times-frac
18×*-un-lft-identity add-cube-cbrt
14×associate-*r* associate-*l*
13×pow1
8×frac-times associate-*r/
7×swap-sqr div-inv associate-/l/
6×associate-*l/
4×insert-posit16 add-log-exp
3×cbrt-div associate-/r*
2×pow-prod-down *-commutative unswap-sqr
1×cbrt-prod pow2 clear-num frac-2neg pow-plus pow1/3 pow-sqr pow-prod-up associate-/l*
Counts
4 → 441
Calls
4 calls:
286.0ms
(* (/ -27/8 (* a (* a a))) (/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27))
93.0ms
(/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27)
34.0ms
(* (/ (* a c) b) (/ (* a c) b))
233.0ms
(cbrt (* (/ -27/8 (* a (* a a))) (/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (/ -27/8 (* a (* a a))) (/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27))
146.0ms
(/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27)
90.0ms
(* (/ (* a c) b) (/ (* a c) b))
104.0ms
(cbrt (* (/ -27/8 (* a (* a a))) (/ (* (/ (* a c) b) (* (/ (* a c) b) (/ (* a c) b))) 27)))

simplify3.5s

Counts
453 → 453
Iterations
IterNodes
done2000
12000
0601

prune5.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.3b

regimes505.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.8s16124×pre80true
1.5s3651×body320valid
1.0s8124×body80nan
775.0ms2897×body160valid
400.0ms529×body640valid
163.0ms923×body80valid