Details

Time bar (total: 7.5s)

sample143.0ms

Algorithm
intervals
Results
37.0ms272×body80nan
30.0ms121×body320valid
22.0ms528×pre80true
14.0ms85×body160valid
6.0ms18×body640valid
3.0ms32×body80valid

simplify136.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
25.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite285.0ms

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:
14.0ms
(- (* b b) (* (* 3.0 a) c))
145.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
36.0ms
(* (* 3.0 a) c)
86.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series386.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (* b b) (* (* 3.0 a) c))
163.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
30.0ms
(* (* 3.0 a) c)
111.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.9s

Counts
121 → 121
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02012338
14952065
216751747
done50001676

prune373.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

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

prune40.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.6b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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:
20.0ms
(/ (* a c) b)
21.0ms
(* -1.5 (/ (* a c) b))
44.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series118.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
54.0ms
(* -1.5 (/ (* a c) b))
41.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 2 (799.0ms)

IterNodesCost
01291138
13531097
21740813
done5000813

prune283.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:
10.0ms
(/ (* a c) b)
19.0ms
(/ (/ (* a c) b) a)

series37.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* a c) b)
13.0ms
(/ (/ (* a c) b) a)

simplify1.7s

Counts
79 → 79
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0121831
1285794
2907708
done5000632

prune245.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 2.6b

regimes10.0ms