Details

Time bar (total: 18.5s)

sample106.0ms

Algorithm
intervals
Results
60.0ms426×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 6 (3.7s)

IterNodesCost
01819
13719
29319
328219
468419
5153319
6341217
done500117

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
0.2b
(* (* x 9.0) y)
2.9b
(/ (+ b (* (* x 9.0) y)) z)
11.0b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
74.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
24.0ms
(* (* x 9.0) y)
26.0ms
(/ (+ b (* (* x 9.0) y)) z)
137.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series580.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
30.0ms
(* (* x 9.0) y)
105.0ms
(/ (+ b (* (* x 9.0) y)) z)
241.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.5s

Counts
101 → 101
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01821845
14441785
215671639
done50001631

prune540.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.2b
(/ 1 (/ z (+ b (* (* x 9.0) y))))
3.1b
(/ z (+ b (* (* x 9.0) y)))
11.0b
(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* a 4.0) t)) c)

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
65×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×add-exp-log
21×associate-/r*
18×add-cbrt-cube
11×associate-/r/
10×pow1
9×div-exp associate-/l*
7×div-inv
5×cbrt-undiv flip3-+ flip-+
4×add-log-exp
3×frac-2neg associate-*r* pow-prod-down prod-exp clear-num cbrt-unprod
2×rec-exp 1-exp associate-/l/
1×flip3-- pow-flip div-sub associate-*l* *-commutative flip-- inv-pow
Counts
4 → 161
Calls
4 calls:
21.0ms
(* (* x 9.0) y)
20.0ms
(/ 1 (/ z (+ b (* (* x 9.0) y))))
19.0ms
(/ z (+ b (* (* x 9.0) y)))
193.0ms
(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* a 4.0) t)) c)

series508.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* x 9.0) y)
109.0ms
(/ 1 (/ z (+ b (* (* x 9.0) y))))
76.0ms
(/ z (+ b (* (* x 9.0) y)))
280.0ms
(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* a 4.0) t)) c)

simplify1.5s

Counts
173 → 173
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02863439
16573163
219152782
done50002752

prune625.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
0.2b
(* (* x 9.0) y)
2.9b
(/ (+ b (* (* x 9.0) y)) z)
11.0b
(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

rewrite375.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×add-exp-log times-frac
16×associate-*r* add-cbrt-cube
11×pow1
7×prod-exp
6×add-log-exp
5×cbrt-unprod
4×associate-*l* pow-prod-down
3×flip3-- div-exp associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times associate-*l/ *-commutative div-inv associate-/l/
1×sub-neg rec-exp frac-2neg flip3-+ diff-log 1-exp associate-*r/ clear-num un-div-inv flip-+
Counts
4 → 99
Calls
4 calls:
80.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
34.0ms
(* (* x 9.0) y)
48.0ms
(/ (+ b (* (* x 9.0) y)) z)
209.0ms
(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

series584.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
28.0ms
(* (* x 9.0) y)
94.0ms
(/ (+ b (* (* x 9.0) y)) z)
229.0ms
(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.9s

Counts
111 → 111
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02072097
15081951
217291751
done50001743

prune669.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ b (pow (* 9.0 (* x y)) 1)) z) (* (* a 4.0) t))
0.2b
(* 9.0 (* x y))
2.9b
(/ (+ b (pow (* 9.0 (* x y)) 1)) z)
11.0b
(* (- (/ (+ b (pow (* 9.0 (* x y)) 1)) z) (* (* a 4.0) t)) (/ 1 c))

rewrite543.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
29×add-sqr-sqrt
23×times-frac
22×add-cube-cbrt
20×add-exp-log
16×add-cbrt-cube
14×associate-*r*
11×pow1
7×prod-exp
6×associate-*l* add-log-exp
5×cbrt-unprod
4×pow-prod-down distribute-lft-out associate-/l*
3×flip3-- div-exp associate-/r* flip-- unswap-sqr
2×cbrt-undiv frac-times associate-*l/ *-commutative div-inv associate-/l/
1×sub-neg rec-exp frac-2neg flip3-+ diff-log 1-exp associate-*r/ clear-num un-div-inv flip-+
Counts
4 → 103
Calls
4 calls:
140.0ms
(- (/ (+ b (pow (* 9.0 (* x y)) 1)) z) (* (* a 4.0) t))
22.0ms
(* 9.0 (* x y))
37.0ms
(/ (+ b (pow (* 9.0 (* x y)) 1)) z)
337.0ms
(* (- (/ (+ b (pow (* 9.0 (* x y)) 1)) z) (* (* a 4.0) t)) (/ 1 c))

series639.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(- (/ (+ b (pow (* 9.0 (* x y)) 1)) z) (* (* a 4.0) t))
38.0ms
(* 9.0 (* x y))
86.0ms
(/ (+ b (pow (* 9.0 (* x y)) 1)) z)
265.0ms
(* (- (/ (+ b (pow (* 9.0 (* x y)) 1)) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.3s

Counts
115 → 115
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02052386
15021996
216431800
done50001792

prune496.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.2b

regimes18.0ms