Details

Time bar (total: 16.3s)

sample133.0ms

Algorithm
intervals
Results
46.0ms147×body160valid
19.0ms268×body80nan
18.0ms524×pre80true
8.0ms109×body80valid

simplify126.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12217
24216
38316
411216
512016
done12016

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
15.0ms
(- (* b b) (* (* 3.0 a) c))
31.0ms
(* (* 3.0 a) c)
129.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* b b) (* (* 3.0 a) c))
31.0ms
(* (* 3.0 a) c)
184.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
129.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.5s

Counts
105 → 105
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01671559
14721480
227811251
done50011244

prune820.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune127.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.4b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:
21.0ms
(/ (* a c) b)
38.0ms
(* -1.5 (/ (* a c) b))
53.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series135.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ (* a c) b)
50.0ms
(* -1.5 (/ (* a c) b))
51.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.1s

Counts
93 → 93
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01291138
14011097
22851877
done5001853

prune712.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 9.3b

localize28.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* a c) b) a)
0.3b
(/ (* a c) b)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
34.0ms
(/ (/ (* a c) b) a)
21.0ms
(/ (* a c) b)

series57.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (/ (* a c) b) a)
40.0ms
(/ (* a c) b)

simplify1.4s

Counts
79 → 79
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0121831
1310794
21619722
done5001712

prune478.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 9.3b

regimes2.0s

Accuracy

47.7% (7.1b remaining)

Error of 16.2b against oracle of 9.1b and baseline of 22.6b

bsearch22.0ms

Steps
ItersRangePoint
1
2072.9094558881025
2318.0727950651285
2134.2002906823586

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02442
12942
done2942

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.4s16620×pre80true
1.1s4506×body160valid
855.0ms8620×body80nan
424.0ms3494×body80valid