Details

Time bar (total: 6.0s)

sample53.0ms

Algorithm
intervals
Results
13.0ms157×body160valid
10.0ms506×pre80true
8.0ms250×body80nan
5.0ms52×body320valid
2.0ms47×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12217
24216
38216
410016
510816
done10816

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
40.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite79.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
44.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
22.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series253.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
105.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
79.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify982.0ms

Counts
121 → 121
Iterations

Useful iterations: done (978.0ms)

IterNodesCost
02012338
14922065
217901747
done50001728

prune275.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune37.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.8b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
8.0ms
(* -1.5 (/ (* a c) b))
3.0ms
(/ (* a c) b)
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series70.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* -1.5 (/ (* a c) b))
23.0ms
(/ (* a c) b)
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify763.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (196.0ms)

IterNodesCost
01291138
13831097
21883813
done5001813

prune192.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.8b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:
0.0ms
(expm1 (log1p (/ (* a c) b)))
3.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
3.0ms
(/ (* a c) b)
4.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series302.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(expm1 (log1p (/ (* a c) b)))
103.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
19.0ms
(/ (* a c) b)
88.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify600.0ms

Counts
89 → 89
Iterations

Useful iterations: done (598.0ms)

IterNodesCost
01541143
1379967
21603783
done5001780

prune194.0ms

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 4.8b

regimes586.0ms

Accuracy

13% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.0b

bsearch14.0ms

Steps
ItersRangePoint
2
0.00025188901510240987
0.00029118470560064225
0.0002568009764146889

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02138
12438
done2438

end0.0ms

sample1.4s

Algorithm
intervals
Results
316.0ms4807×body160valid
303.0ms16374×pre80true
262.0ms8374×body80nan
135.0ms1408×body320valid
57.0ms1785×body80valid