Details

Time bar (total: 14.6s)

sample112.0ms

Algorithm
intervals
Results
26.0ms175×body160valid
20.0ms289×body80nan
18.0ms545×pre80true
7.0ms29×body320valid
4.0ms52×body80valid

simplify134.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
38.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite266.0ms

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))
19.0ms
(* (* 3.0 a) c)
150.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
82.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series391.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(* (* 3.0 a) c)
178.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
108.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.5s

Counts
121 → 121
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02012338
15442075
231201752
done50011750

prune359.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.0b

localize4.0ms

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

prune42.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.0b

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))

rewrite83.0ms

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:
20.0ms
(/ (* a c) b)
26.0ms
(* -1.5 (/ (* a c) b))
30.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series85.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
32.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune343.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(* -1.5 (/ a (/ b c)))
0.4b
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
49×add-exp-log add-cbrt-cube
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
5×pow1
4×associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 172
Calls
3 calls:
18.0ms
(/ a (/ b c))
41.0ms
(* -1.5 (/ a (/ b c)))
34.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series138.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ a (/ b c))
51.0ms
(* -1.5 (/ a (/ b c)))
47.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify2.6s

Counts
181 → 181
Iterations

Useful iterations: 2 (888.0ms)

IterNodesCost
02722294
18132169
248781889
done50001889

prune621.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 5.8b

regimes703.0ms

Accuracy

0% (6.9b remaining)

Error of 12.0b against oracle of 5.0b and baseline of 12.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.0s15980×pre80true
760.0ms4834×body160valid
592.0ms7980×body80nan
288.0ms1365×body320valid
105.0ms1801×body80valid