Details

Time bar (total: 14.4s)

sample97.0ms

Algorithm
intervals
Results
28.0ms171×body160valid
17.0ms269×body80nan
17.0ms525×pre80true
6.0ms33×body320valid
3.0ms52×body80valid

simplify121.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
012324
122324
242284
383284
4112284
5120284
done120284

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* 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))
42.5b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite240.0ms

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-cbrt-cube add-exp-log
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×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
13.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(* (* 3.0 a) c)
116.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
78.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series402.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* b b) (* (* 3.0 a) c))
35.0ms
(* (* 3.0 a) c)
181.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
104.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.3s

Counts
121 → 121
Iterations

Useful iterations: done (2.3s)

IterNodesCost
020141813
154437326
2317033217
done500033167

prune772.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.6b

localize5.0ms

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

prune86.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.6b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 84
Calls
3 calls:
19.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
34.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (* a c) b)
51.0ms
(* -1.5 (/ (* a c) b))
39.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.9s

Counts
93 → 93
Iterations

Useful iterations: done (1.9s)

IterNodesCost
012922055
140119651
2285119251
done500117731

prune417.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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×*-un-lft-identity add-cube-cbrt
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×clear-num frac-2neg associate-*l*
1×pow-prod-down *-commutative pow-flip inv-pow unswap-sqr
Counts
4 → 162
Calls
4 calls:
7.0ms
(/ (* a c) b)
17.0ms
(* -1.5 (/ (* a c) b))
29.0ms
(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
17.0ms
(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* a c) b)
49.0ms
(* -1.5 (/ (* a c) b))
23.0ms
(/ 1 (/ (* 3.0 a) (* -1.5 (/ (* a c) b))))
30.0ms
(/ (* 3.0 a) (* -1.5 (/ (* a c) b)))

simplify2.5s

Counts
174 → 174
Iterations

Useful iterations: done (2.5s)

IterNodesCost
022156239
166145189
2409043708
done500241905

prune569.0ms

Pruning

29 alts after pruning (27 fresh and 2 done)

Merged error: 5.6b

regimes893.0ms

Accuracy

0% (6.7b remaining)

Error of 11.9b against oracle of 5.1b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1683
done683

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s8141×body80nan
731.0ms4835×body160valid
549.0ms16141×pre80true
384.0ms1387×body320valid
171.0ms1778×body80valid