Details

Time bar (total: 17.7s)

sample60.0ms

Algorithm
intervals
Results
26.0ms332×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25415
39315
414515
530015
679115
7264215
done500015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
5.7b
(/ t (* (* z 3.0) y))

rewrite269.0ms

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:
169.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
17.0ms
(/ y (* z 3.0))
38.0ms
(* (* z 3.0) y)
38.0ms
(/ t (* (* z 3.0) y))

series284.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
33.0ms
(/ y (* z 3.0))
45.0ms
(* (* z 3.0) y)
65.0ms
(/ t (* (* z 3.0) y))

simplify2.6s

Counts
127 → 127
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01841873
15111735
232451491
done50001464

prune544.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
5.6b
(/ (/ t (* z 3.0)) y)

rewrite192.0ms

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:
128.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
24.0ms
(/ y (* z 3.0))
11.0ms
(/ t (* z 3.0))
16.0ms
(/ (/ t (* z 3.0)) y)

series280.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
41.0ms
(/ y (* z 3.0))
44.0ms
(/ t (* z 3.0))
44.0ms
(/ (/ t (* z 3.0)) y)

simplify1.9s

Counts
155 → 155
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02302245
15982093
229991844
done50001829

prune632.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
0.2b
(/ y (* z 3.0))
0.2b
(* z (* 3.0 y))
5.7b
(/ t (* z (* 3.0 y)))

rewrite157.0ms

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-*l* 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-*r* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
102.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
8.0ms
(/ y (* z 3.0))
17.0ms
(* z (* 3.0 y))
25.0ms
(/ t (* z (* 3.0 y)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
25.0ms
(/ y (* z 3.0))
25.0ms
(* z (* 3.0 y))
37.0ms
(/ t (* z (* 3.0 y)))

simplify2.2s

Counts
127 → 127
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01901868
15141732
226031476
done50001461

prune537.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(* (/ 1 z) (/ y 3.0))
5.7b
(/ t (* (* z 3.0) y))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-sqr-sqrt
30×add-cbrt-cube
28×times-frac
27×*-un-lft-identity
23×add-cube-cbrt
16×associate-*r*
14×associate-*l* prod-exp
11×pow1 div-exp
10×cbrt-unprod
9×add-log-exp
7×cbrt-undiv
6×unswap-sqr
5×associate-+l+
4×expm1-log1p-u pow-prod-down log1p-expm1-u
3×fma-def prod-diff div-inv associate-/l*
2×rec-exp 1-exp frac-add sum-log *-commutative
1×+-commutative frac-times associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ associate-*l/ clear-num associate-/r* flip-- flip-+ distribute-lft-out
Counts
4 → 129
Calls
4 calls:
67.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
34.0ms
(* (* z 3.0) y)
43.0ms
(* (/ 1 z) (/ y 3.0))
25.0ms
(/ t (* (* z 3.0) y))

series255.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
29.0ms
(* (* z 3.0) y)
28.0ms
(* (/ 1 z) (/ y 3.0))
56.0ms
(/ t (* (* z 3.0) y))

simplify3.0s

Counts
141 → 141
Iterations

Useful iterations: 2 (859.0ms)

IterNodesCost
02361812
17231694
247491380
done50001380

prune526.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes239.0ms

Accuracy

80.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.4b

bsearch154.0ms

Steps
ItersRangePoint
6
5.657564454157724e-27
3.4928798111313496e-26
1.0497913167492214e-26
9
-4.199445419447907e+114
-9.919097862511533e+107
-1.1307665269915508e+108

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03057
14157
done4157

end0.0ms

sample1.5s

Algorithm
intervals
Results
928.0ms11090×body80valid