Details

Time bar (total: 16.2s)

sample23.0ms

Algorithm
intervals
Results
10.0ms334×body80valid

simplify841.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38815
413415
518815
623415
725115
827615
931715
1037315
1138915
1246215
1356515
1471015
1571815
done71815

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

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)
0.2b
(/ y (* z 3.0))
7.6b
(/ t (* (* z 3.0) y))

rewrite61.0ms

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:
38.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
10.0ms
(/ t (* (* z 3.0) y))

series148.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
19.0ms
(/ y (* z 3.0))
32.0ms
(/ t (* (* z 3.0) y))

simplify839.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01841873
15151735
223471473
done50001473

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite60.0ms

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:
44.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series159.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
25.0ms
(/ t (* z 3.0))
24.0ms
(/ y (* z 3.0))
33.0ms
(/ (/ t (* z 3.0)) y)

simplify837.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
02302245
15922093
223071829
done50011829

prune412.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.6b
(/ (/ t (* z 3.0)) y)

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
312×times-frac
222×add-sqr-sqrt
220×*-un-lft-identity
213×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube div-inv associate-/l*
10×cbrt-undiv div-exp
9×add-log-exp
7×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num difference-of-squares
2×frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
148.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
5.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series153.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
19.0ms
(/ (/ y z) 3.0)
36.0ms
(/ (/ t (* z 3.0)) y)

simplify634.0ms

Counts
314 → 314
Iterations

Useful iterations: done (623.0ms)

IterNodesCost
04807692
113117216
done50016100

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ y z) 3.0)
0.2b
(/ (/ 1 z) 3.0)
2.8b
(+ (- (/ (/ t (* z 3.0)) y) (/ (/ y z) 3.0)) (/ (/ y z) 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite729.0ms

Algorithm
rewrite-expression-head
Rules
3137×times-frac
1603×add-sqr-sqrt
1599×*-un-lft-identity
1582×add-cube-cbrt
1077×associate-+l+
1075×prod-diff
287×div-inv
33×associate-/l*
27×add-exp-log
23×add-cbrt-cube
14×div-exp
11×cbrt-undiv fma-def
9×associate-/r* add-log-exp
6×difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×frac-2neg frac-add clear-num associate-/l/ distribute-lft-out
2×sum-log
1×+-commutative associate-+l- sub-neg rec-exp flip3-- flip3-+ diff-log 1-exp prod-exp frac-sub flip-- cbrt-unprod flip-+
Counts
4 → 1305
Calls
4 calls:
6.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ 1 z) 3.0)
529.0ms
(+ (- (/ (/ t (* z 3.0)) y) (/ (/ y z) 3.0)) (/ (/ y z) 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series101.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (/ y z) 3.0)
22.0ms
(/ (/ 1 z) 3.0)
31.0ms
(+ (- (/ (/ t (* z 3.0)) y) (/ (/ y z) 3.0)) (/ (/ y z) 3.0))
30.0ms
(/ (/ t (* z 3.0)) y)

simplify602.0ms

Counts
1317 → 1317
Iterations

Useful iterations: done (541.0ms)

IterNodesCost
058046063
1153442671
done500042297

prune8.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes129.0ms

Accuracy

80.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch117.0ms

Steps
ItersRangePoint
10
4.6138914274165986e+49
1.0286577002489468e+63
5.460978228047663e+49
8
-2.350670412092924e+26
-2.7994419072026865e+22
-3.1361300744902736e+22

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03157
14157
done4157

end0.0ms

sample617.0ms

Algorithm
intervals
Results
351.0ms11001×body80valid