Details

Time bar (total: 13.2s)

sample108.0ms

Algorithm
intervals
Results
20.0ms105×body320valid
16.0ms510×pre80true
16.0ms254×body80nan
13.0ms103×body160valid
4.0ms16×body640valid
2.0ms32×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.8b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite309.0ms

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:
22.0ms
(- (* b b) (* (* 3.0 a) c))
21.0ms
(* (* 3.0 a) c)
153.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
106.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series423.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 3.0 a) c))
21.0ms
(* (* 3.0 a) c)
191.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
145.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.6s

Counts
121 → 121
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02012338
15442075
231201752
done50011750

prune395.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize7.0ms

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

prune36.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.8b

localize9.0ms

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))

rewrite88.0ms

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)
20.0ms
(* -1.5 (/ (* a c) b))
46.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series113.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (* a c) b)
42.0ms
(* -1.5 (/ (* a c) b))
33.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune344.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.3b
(expm1 (log1p (/ (* a c) b)))
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
19.0ms
(/ (* a c) b)
15.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
1.0ms
(expm1 (log1p (/ (* a c) b)))
25.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series463.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* a c) b)
148.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
133.0ms
(expm1 (log1p (/ (* a c) b)))
135.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify1.6s

Counts
89 → 89
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01541143
1392967
22248797
done5001778

prune304.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.7b

regimes450.0ms

Accuracy

0% (3.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.3s3621×body320valid
736.0ms16095×pre80true
675.0ms8095×body80nan
415.0ms2912×body160valid
168.0ms520×body640valid
92.0ms947×body80valid