Details

Time bar (total: 18.5s)

sample34.0ms

Algorithm
intervals
Results
15.0ms354×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
25415
39315
414515
530015
679115
7264215
done500015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.3b
(/ y (* z 3.0))
7.8b
(/ t (* (* z 3.0) y))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
113.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
26.0ms
(* (* z 3.0) y)
24.0ms
(/ y (* z 3.0))
37.0ms
(/ t (* (* z 3.0) y))

series288.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
52.0ms
(* (* z 3.0) y)
38.0ms
(/ y (* z 3.0))
46.0ms
(/ t (* (* z 3.0) y))

simplify2.5s

Counts
127 → 127
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01841873
15111735
231841479
done50011464

prune609.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.3b
(/ y (* z 3.0))
0.3b
(/ t (* z 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
173.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
10.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* z 3.0))
36.0ms
(/ (/ t (* z 3.0)) y)

series244.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
43.0ms
(/ y (* z 3.0))
36.0ms
(/ t (* z 3.0))
50.0ms
(/ (/ t (* z 3.0)) y)

simplify2.1s

Counts
155 → 155
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02302245
15982093
229991844
done50001829

prune793.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
0.3b
(/ t (* z 3.0))
0.3b
(* (/ y 3.0) (/ 1 z))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
54×add-sqr-sqrt
41×*-un-lft-identity
40×add-exp-log
37×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
8×div-inv
6×pow1 cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×+-commutative frac-times associate-+l+ associate-+r+ flip3-+ associate-*r/ pow-prod-down associate-*l/ sum-log un-div-inv *-commutative flip-+ associate-/l/ distribute-lft-out
Counts
4 → 151
Calls
4 calls:
15.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
19.0ms
(/ t (* z 3.0))
58.0ms
(* (/ y 3.0) (/ 1 z))
18.0ms
(/ (/ t (* z 3.0)) y)

series362.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
43.0ms
(/ t (* z 3.0))
45.0ms
(* (/ y 3.0) (/ 1 z))
60.0ms
(/ (/ t (* z 3.0)) y)

simplify2.6s

Counts
163 → 163
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02682264
17542146
240711747
done50011735

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1 x (- (/ (/ y z) 3.0))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
0.3b
(/ (/ y z) 3.0)
0.3b
(/ t (* z 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
67×*-un-lft-identity
65×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
7×associate-/r*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×fma-def frac-2neg clear-num
2×prod-exp cbrt-unprod fma-udef associate-/l/
1×+-commutative associate-+l+ associate-+r+ flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 164
Calls
4 calls:
12.0ms
(+ (fma 1 x (- (/ (/ y z) 3.0))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
24.0ms
(/ (/ y z) 3.0)
16.0ms
(/ t (* z 3.0))
26.0ms
(/ (/ t (* z 3.0)) y)

series288.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(+ (fma 1 x (- (/ (/ y z) 3.0))) (fma (/ 1 z) (+ (- (/ y 3.0)) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
29.0ms
(/ (/ y z) 3.0)
30.0ms
(/ t (* z 3.0))
37.0ms
(/ (/ t (* z 3.0)) y)

simplify1.9s

Counts
176 → 176
Iterations

Useful iterations: 2 (714.0ms)

IterNodesCost
03002443
17342344
235192108
done50022108

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes389.0ms

Accuracy

67% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03573
14973
25073
done5073

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s11046×body80valid