Details

Time bar (total: 11.3s)

sample108.0ms

Algorithm
intervals
Results
23.0ms67×body80valid
17.0ms145×body160valid
15.0ms278×body80nan
15.0ms534×pre80true
8.0ms44×body320valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
39.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
15×sqrt-prod
14×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×flip3-- associate-*r* pow-prod-down flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
11.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
118.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
63.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series350.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (* b b) (* (* 3.0 a) c))
32.0ms
(* (* 3.0 a) c)
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
100.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.8s

Counts
121 → 121
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02012338
14952065
216681747
done50001676

prune374.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.5b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune43.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.5b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
15.0ms
(/ (* a c) b)
19.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* a c) b)
40.0ms
(* -1.5 (/ (* a c) b))
31.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
01291138
13531097
21740813
done5000813

prune297.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ b (* a c))
0.3b
(* -1.5 (/ 1 (/ b (* a c))))
0.3b
(/ 1 (/ b (* a c)))
0.4b
(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
161×add-exp-log
77×add-cbrt-cube
72×div-exp
69×times-frac
54×prod-exp
44×add-sqr-sqrt
38×*-un-lft-identity
37×add-cube-cbrt
32×cbrt-undiv
26×associate-*r*
22×cbrt-unprod
12×rec-exp 1-exp
11×div-inv
9×associate-/r*
7×pow1 associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num unswap-sqr
2×associate-*r/ associate-/r/ un-div-inv associate-/l/
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
4 → 189
Calls
4 calls:
11.0ms
(/ b (* a c))
61.0ms
(* -1.5 (/ 1 (/ b (* a c))))
16.0ms
(/ 1 (/ b (* a c)))
44.0ms
(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

series122.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ b (* a c))
38.0ms
(* -1.5 (/ 1 (/ b (* a c))))
31.0ms
(/ 1 (/ b (* a c)))
24.0ms
(/ (* -1.5 (/ 1 (/ b (* a c)))) (* 3.0 a))

simplify1.8s

Counts
201 → 201
Iterations

Useful iterations: 2 (464.0ms)

IterNodesCost
02462699
16082209
221681703
done50001703

prune351.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.5b

regimes578.0ms

Accuracy

10.7% (6.4b remaining)

Error of 11.5b against oracle of 5.0b and baseline of 12.2b

bsearch40.0ms

Steps
ItersRangePoint
4
0.3765543169386318
0.509031623797797
0.4445338611362734

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02038
12438
done2438

end0.0ms

sample3.8s

Algorithm
intervals
Results
782.0ms16430×pre80true
765.0ms1363×body320valid
677.0ms4767×body160valid
662.0ms8430×body80nan
120.0ms1870×body80valid