Details

Time bar (total: 20.4s)

sample81.0ms

Algorithm
intervals
Results
42.0ms426×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 6 (3.0s)

IterNodesCost
01819
13719
29319
328219
468419
5153319
6341217
done500117

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize20.0ms

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)

rewrite217.0ms

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:
61.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
17.0ms
(* (* x 9.0) y)
25.0ms
(/ (+ b (* (* x 9.0) y)) z)
108.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series504.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
23.0ms
(* (* x 9.0) y)
86.0ms
(/ (+ b (* (* x 9.0) y)) z)
185.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01821845
14441785
215671639
done50001631

prune789.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
0.2b
(* (* x 9.0) y)
3.1b
(* (+ b (* (* x 9.0) y)) (/ 1 z))
11.0b
(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)) c)

rewrite172.0ms

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×div-exp associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*l/ *-commutative flip-- flip-+ div-inv associate-/l/
1×sub-neg rec-exp frac-2neg diff-log 1-exp div-sub associate-*r/ clear-num un-div-inv
Counts
4 → 100
Calls
4 calls:
42.0ms
(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
29.0ms
(* (* x 9.0) y)
25.0ms
(* (+ b (* (* x 9.0) y)) (/ 1 z))
73.0ms
(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)) c)

series591.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
25.0ms
(* (* x 9.0) y)
102.0ms
(* (+ b (* (* x 9.0) y)) (/ 1 z))
242.0ms
(/ (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)) c)

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02122161
15481879
219871705
done50001697

prune469.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
0.2b
(* (* x 9.0) y)
3.1b
(* (+ b (* (* x 9.0) y)) (/ 1 z))
11.0b
(* (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)) (/ 1 c))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
29×associate-*r*
27×add-exp-log
23×*-un-lft-identity
22×times-frac
21×add-cube-cbrt
19×add-cbrt-cube
13×pow1
11×prod-exp
7×associate-*l* cbrt-unprod
6×add-log-exp unswap-sqr
5×pow-prod-down
4×frac-times div-exp associate-*l/
3×flip3-- *-commutative flip--
2×cbrt-undiv rec-exp flip3-+ 1-exp associate-*r/ un-div-inv flip-+ div-inv
1×sub-neg diff-log
Counts
4 → 110
Calls
4 calls:
34.0ms
(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
19.0ms
(* (* x 9.0) y)
47.0ms
(* (+ b (* (* x 9.0) y)) (/ 1 z))
133.0ms
(* (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)) (/ 1 c))

series522.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t))
37.0ms
(* (* x 9.0) y)
93.0ms
(* (+ b (* (* x 9.0) y)) (/ 1 z))
194.0ms
(* (- (* (+ b (* (* x 9.0) y)) (/ 1 z)) (* (* a 4.0) t)) (/ 1 c))

simplify1.5s

Counts
122 → 122
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02292431
16012045
221111817
done50011809

prune677.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.5b
(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))))
2.9b
(/ (+ b (* (* x 9.0) y)) z)
11.0b
(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)))

rewrite241.0ms

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×pow-flip flip3-+ associate-*l* *-commutative flip-+ inv-pow
Counts
4 → 160
Calls
4 calls:
17.0ms
(* (* x 9.0) y)
68.0ms
(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))))
44.0ms
(/ (+ b (* (* x 9.0) y)) z)
104.0ms
(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)))

series598.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* x 9.0) y)
331.0ms
(/ 1 (/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))))
89.0ms
(/ (+ b (* (* x 9.0) y)) z)
155.0ms
(/ c (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)))

simplify1.5s

Counts
172 → 172
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02824463
16384179
218233856
done50013810

prune633.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 7.9b

regimes1.0s

Accuracy

88.2% (0.9b remaining)

Error of 7.1b against oracle of 6.2b and baseline of 13.6b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
043185
157185
done57185

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.9s12799×body80valid