Details

Time bar (total: 8.9s)

sample144.0ms

Algorithm
intervals
Results
58.0ms563×pre80true
24.0ms150×body160valid
23.0ms307×body80nan
9.0ms106×body80valid

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
30.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
18×sqrt-prod
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×fma-neg
6×times-frac associate-/l* difference-of-squares
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 106
Calls
4 calls:
22.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.0ms
(- (* b b) (* (* 4.0 a) c))
146.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
87.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series491.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
80.0ms
(- (* b b) (* (* 4.0 a) c))
167.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
126.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01952476
14802169
214441861
done50011789

prune891.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

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

prune86.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 55
Calls
2 calls:
28.0ms
(/ (* a c) b)
43.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series60.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
38.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
0111818
1314787
21621559
done5001559

prune251.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
125×add-exp-log
69×prod-exp
61×add-cbrt-cube
32×div-exp
29×cbrt-unprod
16×cbrt-undiv
8×rec-exp 1-exp
7×pow1 associate-*r*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-*r/ pow-prod-down associate-/r*
2×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 87
Calls
2 calls:
20.0ms
(/ (* a c) b)
109.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* a c) b)
28.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

simplify3.0s

Counts
93 → 93
Iterations

Useful iterations: 2 (463.0ms)

IterNodesCost
01621507
14191281
21712923
done5000923

prune141.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.1b

regimes579.0ms

bsearch3.0ms