Details

Time bar (total: 12.0s)

sample97.0ms

Algorithm
intervals
Results
19.0ms154×body160valid
16.0ms284×body80nan
15.0ms540×pre80true
7.0ms40×body320valid
4.0ms62×body80valid

simplify142.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
37.6b
(- (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-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:
11.0ms
(- (* b b) (* (* 3.0 a) c))
29.0ms
(* (* 3.0 a) c)
153.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
69.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series362.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(* (* 3.0 a) c)
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
107.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.6s

Counts
121 → 121
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02012338
15442075
231701752
done50001750

prune666.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.4b

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

prune76.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

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:
16.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
42.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series120.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (* a c) b)
50.0ms
(* -1.5 (/ (* a c) b))
23.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01291138
14011097
22851877
done5001829

prune441.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))
0.3b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* times-frac log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×clear-num frac-2neg div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
13.0ms
(/ (* a c) b)
0.0ms
(expm1 (log1p (/ (* a c) b)))
11.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
25.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series429.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* a c) b)
105.0ms
(expm1 (log1p (/ (* a c) b)))
143.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
158.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify846.0ms

Counts
89 → 89
Iterations

Useful iterations: done (843.0ms)

IterNodesCost
01541143
1392967
22240797
done5002774

prune396.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.4b

regimes845.0ms

Accuracy

14.4% (5.9b remaining)

Error of 10.8b against oracle of 4.9b and baseline of 11.8b

bsearch46.0ms

Steps
ItersRangePoint
4
0.03505168480040674
0.0561216462382886
0.035710121095340545

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02038
12438
done2438

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.1s16308×pre80true
714.0ms4822×body160valid
650.0ms8308×body80nan
348.0ms1408×body320valid
162.0ms1770×body80valid