Details

Time bar (total: 13.3s)

sample89.0ms

Algorithm
intervals
Results
30.0ms258×body80nan
15.0ms158×body160valid
13.0ms514×pre80true
5.0ms98×body80valid

simplify141.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite252.0ms

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:
9.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
147.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
71.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series349.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* b b) (* (* 3.0 a) c))
36.0ms
(* (* 3.0 a) c)
139.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
111.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.8s

Counts
121 → 121
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02012338
15442075
231201752
done50011750

prune463.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.2b

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

prune75.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 9.2b

localize18.0ms

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))

rewrite87.0ms

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:
15.0ms
(/ (* a c) b)
21.0ms
(* -1.5 (/ (* a c) b))
45.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series99.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
40.0ms
(* -1.5 (/ (* a c) b))
37.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune349.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
42×times-frac
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 134
Calls
4 calls:
43.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
19.0ms
(/ (* a c) b)
42.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
24.0ms
(* -1.5 (/ (* a c) b))

series148.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
26.0ms
(/ (* a c) b)
40.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
34.0ms
(* -1.5 (/ (* a c) b))

simplify1.8s

Counts
146 → 146
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02001928
15411860
233041608
done50021596

prune384.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.1b

regimes922.0ms

Accuracy

45.1% (7.7b remaining)

Error of 16.5b against oracle of 8.9b and baseline of 22.8b

bsearch30.0ms

Steps
ItersRangePoint
2
226.92574334621128
255.61310276743285
230.51166327386397

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02038
12438
done2438

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.1s16622×pre80true
815.0ms4450×body160valid
735.0ms8622×body80nan
266.0ms3550×body80valid