Details

Time bar (total: 19.4s)

sample86.0ms

Algorithm
intervals
Results
43.0ms426×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 6 (3.0s)

IterNodesCost
01819
13719
29319
328219
468419
5153319
6341217
done500117

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize18.0ms

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)

rewrite234.0ms

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:
65.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
28.0ms
(* (* x 9.0) y)
36.0ms
(/ (+ b (* (* x 9.0) y)) z)
102.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series421.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
21.0ms
(* (* x 9.0) y)
66.0ms
(/ (+ b (* (* x 9.0) y)) z)
164.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.4s

Counts
101 → 101
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01821845
14441785
215671639
done50001631

prune503.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.9b

localize29.0ms

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)

rewrite289.0ms

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:
26.0ms
(* (* x 9.0) y)
21.0ms
(/ 1 (/ z (+ b (* (* x 9.0) y))))
14.0ms
(/ z (+ b (* (* x 9.0) y)))
221.0ms
(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* a 4.0) t)) c)

series441.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* x 9.0) y)
92.0ms
(/ 1 (/ z (+ b (* (* x 9.0) y))))
67.0ms
(/ z (+ b (* (* x 9.0) y)))
257.0ms
(/ (- (/ 1 (/ z (+ b (* (* x 9.0) y)))) (* (* a 4.0) t)) c)

simplify1.2s

Counts
173 → 173
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02863439
16573163
219152782
done50002752

prune603.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize35.0ms

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))

rewrite342.0ms

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:
65.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
17.0ms
(* (* x 9.0) y)
29.0ms
(/ (+ b (* (* x 9.0) y)) z)
226.0ms
(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

series480.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
25.0ms
(* (* x 9.0) y)
64.0ms
(/ (+ b (* (* x 9.0) y)) z)
231.0ms
(* (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.2s

Counts
111 → 111
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02072097
15081951
217291751
done50001743

prune497.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×add-exp-log times-frac
16×add-cbrt-cube
14×associate-*r*
11×pow1
7×prod-exp
6×associate-*l* add-log-exp
5×cbrt-unprod
4×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×+-commutative rec-exp frac-2neg 1-exp associate-*r/ clear-num sum-log un-div-inv
Counts
4 → 98
Calls
4 calls:
15.0ms
(+ b (* 9.0 (* x y)))
19.0ms
(* 9.0 (* x y))
24.0ms
(/ (+ b (* 9.0 (* x y))) z)
153.0ms
(* (- (/ (+ b (* 9.0 (* x y))) z) (* (* a 4.0) t)) (/ 1 c))

series421.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ b (* 9.0 (* x y)))
45.0ms
(* 9.0 (* x y))
99.0ms
(/ (+ b (* 9.0 (* x y))) z)
210.0ms
(* (- (/ (+ b (* 9.0 (* x y))) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.4s

Counts
110 → 110
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02031916
15031762
215921588
done50001584

prune543.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

regimes1.4s

Accuracy

78.5% (1.7b remaining)

Error of 7.5b against oracle of 5.9b and baseline of 13.7b

bsearch5.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
042172
152172
done52172

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s12799×body80valid