Details

Time bar (total: 6.4s)

sample49.0ms

Algorithm
intervals
Results
10.0ms157×body160valid
9.0ms500×pre80true
8.0ms244×body80nan
5.0ms46×body320valid
2.0ms53×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12217
24216
38316
410216
511016
done11016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.0b

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
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite62.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(* (* 3.0 a) c)
35.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(* (* 3.0 a) c)
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify622.0ms

Counts
105 → 105
Iterations

Useful iterations: done (619.0ms)

IterNodesCost
01671559
14581478
219221247
done50011246

prune265.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.6b

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

prune29.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.6b

localize11.0ms

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))

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

series70.0ms

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

simplify771.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (138.0ms)

IterNodesCost
01291138
13941097
22297813
done5000813

prune179.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
457×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
111×associate-/r*
76×div-inv
52×add-exp-log add-cbrt-cube
30×cbrt-undiv div-exp
14×associate-/l*
6×associate-/r/
4×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 543
Calls
4 calls:
3.0ms
(/ (* a c) b)
6.0ms
(/ (/ (* a c) b) a)
27.0ms
(/ -1.5 (/ 3.0 (/ (/ (* a c) b) a)))
10.0ms
(/ 3.0 (/ (/ (* a c) b) a))

series64.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* a c) b)
7.0ms
(/ (/ (* a c) b) a)
20.0ms
(/ -1.5 (/ 3.0 (/ (/ (* a c) b) a)))
19.0ms
(/ 3.0 (/ (/ (* a c) b) a))

simplify590.0ms

Counts
555 → 555
Iterations

Useful iterations: done (565.0ms)

IterNodesCost
089311463
1213210679
done500010659

prune1.4s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 4.5b

regimes440.0ms

Accuracy

0% (7.0b remaining)

Error of 12.1b against oracle of 5.1b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample1.4s

Algorithm
intervals
Results
328.0ms4838×body160valid
305.0ms16235×pre80true
260.0ms8235×body80nan
137.0ms1366×body320valid
64.0ms1796×body80valid