Details

Time bar (total: 16.4s)

sample326.0ms

Algorithm
intervals
Results
98.0ms112×body320valid
45.0ms306×body80nan
36.0ms562×pre80true
28.0ms91×body160valid
11.0ms16×body640valid
6.0ms37×body80valid

simplify162.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.7b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
24.7b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* c a) 4)))
14.0ms
(- (* b b) (* (* c a) 4))
69.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
39.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series467.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(sqrt (- (* b b) (* (* c a) 4)))
81.0ms
(- (* b b) (* (* c a) 4))
127.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
152.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
33594
21093
1398
0161

prune676.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune47.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
9.0ms
(/ (* a c) b)
20.0ms
(/ (* -2 (/ (* a c) b)) a)

series61.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (* a c) b)
25.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify3.1s

Counts
55 → 55
Iterations
IterNodes
36821
21066
1263
099

prune300.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* -2 (cbrt (* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b))))) a)
0.3b
(* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b)))
0.5b
(* (/ (* c a) b) (/ (* c a) b))
0.7b
(cbrt (* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b))))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
216×add-exp-log
215×add-cbrt-cube
101×prod-exp cbrt-unprod
70×cbrt-undiv div-exp
25×pow1
23×associate-*r/
19×add-sqr-sqrt
18×times-frac
16×frac-times *-un-lft-identity add-cube-cbrt
14×cbrt-div associate-*l*
10×associate-*l/
8×associate-*r*
7×swap-sqr associate-/l/
6×pow-prod-up div-inv
4×pow-prod-down insert-posit16 add-log-exp
3×associate-/r*
2×pow2 pow-plus cube-unmult pow-sqr *-commutative unswap-sqr
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube associate-/l*
Counts
4 → 196
Calls
4 calls:
26.0ms
(/ (* -2 (cbrt (* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b))))) a)
96.0ms
(* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b)))
45.0ms
(* (/ (* c a) b) (/ (* c a) b))
109.0ms
(cbrt (* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (* -2 (cbrt (* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b))))) a)
133.0ms
(* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b)))
61.0ms
(* (/ (* c a) b) (/ (* c a) b))
57.0ms
(cbrt (* (/ (* c a) b) (* (/ (* c a) b) (/ (* c a) b))))

simplify925.0ms

Counts
208 → 208
Iterations
IterNodes
22609
1719
0261

prune732.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.1b

regimes512.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
28
18
07

end0.0ms

sample6.5s

Algorithm
intervals
Results
2.1s3649×body320valid
1.5s16269×pre80true
1.2s8269×body80nan
784.0ms2924×body160valid
275.0ms497×body640valid
124.0ms930×body80valid