Details

Time bar (total: 13.3s)

sample117.0ms

Algorithm
intervals
Results
24.0ms151×body160valid
24.0ms554×pre80true
23.0ms298×body80nan
15.0ms105×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01217
12117
24116
37516
48816
59616
done9616

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.4b

localize26.0ms

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))
30.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(* (* 3.0 a) c)
119.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
48.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* b b) (* (* 3.0 a) c))
39.0ms
(* (* 3.0 a) c)
149.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
113.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.7s

Counts
85 → 85
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01541437
14101361
215471139
done50001125

prune328.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
17.0ms
(* 3.0 (* a c))
75.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
134.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series565.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 3.0 a) c)
41.0ms
(* 3.0 (* a c))
247.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
239.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.9s

Counts
169 → 169
Iterations

Useful iterations: 2 (808.0ms)

IterNodesCost
02434718
16034240
225933862
done50023862

prune554.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
38.0ms
(* (* 3.0 a) c)
21.0ms
(* (* 3.0 a) c)
91.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
117.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series603.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
299.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
244.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.5s

Counts
169 → 169
Iterations

Useful iterations: 2 (581.0ms)

IterNodesCost
02234721
15494241
223373863
done50003863

prune553.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
12×prod-exp cbrt-unprod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down
8×distribute-rgt-in distribute-lft-in associate-*r/
7×associate-*l*
5×associate-*r*
4×sub-neg add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
18.0ms
(* (* 3.0 a) c)
18.0ms
(* 3.0 (* a c))
134.0ms
(* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
171.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (* 3.0 a) c)
32.0ms
(* 3.0 (* a c))
177.0ms
(* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
206.0ms
(/ (+ 0 (* 3.0 (* a c))) (* a (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify2.0s

Counts
103 → 103
Iterations

Useful iterations: 2 (511.0ms)

IterNodesCost
01791951
14741821
223351465
done50021465

prune332.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes13.0ms