Details

Time bar (total: 14.5s)

sample109.0ms

Algorithm
intervals
Results
22.0ms122×body80valid
18.0ms134×body160valid
16.0ms254×body80nan
16.0ms510×pre80true

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite258.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
159.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
64.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series395.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(* (* 3.0 a) c)
150.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
131.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.2s

Counts
121 → 121
Iterations

Useful iterations: done (3.2s)

IterNodesCost
02012338
15442075
231201752
done50011750

prune497.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.7b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune82.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.7b

localize11.0ms

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))

rewrite85.0ms

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:
17.0ms
(/ (* a c) b)
38.0ms
(* -1.5 (/ (* a c) b))
26.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* a c) b)
53.0ms
(* -1.5 (/ (* a c) b))
32.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune419.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
158×add-exp-log
92×add-cbrt-cube
70×div-exp
53×prod-exp
37×cbrt-undiv
29×times-frac cbrt-unprod
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
10×associate-/r*
9×rec-exp 1-exp
8×div-inv
7×pow1 associate-*r*
6×associate-*r/ associate-/r/
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 162
Calls
4 calls:
74.0ms
(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
26.0ms
(/ (* a c) b)
19.0ms
(* -1.5 (/ (* a c) b))
23.0ms
(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
30.0ms
(/ (* a c) b)
35.0ms
(* -1.5 (/ (* a c) b))
33.0ms
(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify2.4s

Counts
174 → 174
Iterations

Useful iterations: 2 (630.0ms)

IterNodesCost
02212726
16642475
245912077
done50002077

prune534.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 8.6b

regimes1.0s

Accuracy

45.3% (7.5b remaining)

Error of 16.5b against oracle of 8.9b and baseline of 22.7b

bsearch3.0ms

Steps
ItersRangePoint
0
179.50531543185843
186.86338126885656
183.18434835035748

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02038
12438
done2438

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s4477×body160valid
644.0ms8259×body80nan
633.0ms16259×pre80true
347.0ms3523×body80valid