Details

Time bar (total: 14.3s)

sample23.0ms

Algorithm
intervals
Results
11.0ms334×body80valid

simplify145.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38715
413315
517915
619215
720915
823415
925215
done25215

prune3.0ms

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))
9.0ms
(/ t (* (* z 3.0) y))

series149.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
22.0ms
(/ y (* z 3.0))
28.0ms
(/ t (* (* z 3.0) y))

simplify911.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (327.0ms)

IterNodesCost
01841873
15011735
221471473
done50011473

prune356.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite61.0ms

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)

series145.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms
(/ t (* z 3.0))
19.0ms
(/ y (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify868.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (347.0ms)

IterNodesCost
02302245
15792093
219471829
done50001829

prune454.0ms

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
3092×times-frac
1576×add-sqr-sqrt
1561×*-un-lft-identity
1555×add-cube-cbrt
1075×prod-diff
287×div-inv
25×fma-neg
23×add-exp-log add-cbrt-cube associate-/l*
10×cbrt-undiv div-exp
7×associate-/r*
6×add-log-exp difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×prod-exp cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 1268
Calls
4 calls:
93.0ms
(- (/ (/ t (* z 3.0)) y) (/ (/ y z) 3.0))
3.0ms
(/ t (* z 3.0))
5.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series149.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (/ (/ t (* z 3.0)) y) (/ (/ y z) 3.0))
18.0ms
(/ t (* z 3.0))
18.0ms
(/ (/ y z) 3.0)
37.0ms
(/ (/ t (* z 3.0)) y)

simplify1.0s

Counts
1280 → 1280
Iterations

Useful iterations: done (927.0ms)

IterNodesCost
0154475709
1327869818
done500069743

prune5.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* 0.3333333333333333 (/ t z)) y) (/ (/ y z) 3.0))
0.2b
(* 0.3333333333333333 (/ t z))
0.2b
(/ (/ y z) 3.0)
4.7b
(/ (* 0.3333333333333333 (/ t z)) y)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
685×times-frac
403×add-sqr-sqrt
391×*-un-lft-identity
389×add-cube-cbrt
301×prod-diff
79×div-inv
23×add-exp-log add-cbrt-cube
14×associate-/l*
13×associate-*r*
8×cbrt-undiv div-exp
7×fma-neg
6×pow1 associate-/r* add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×associate-*l* difference-of-squares
2×frac-2neg associate-*r/ clear-num associate-/l/ unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- distribute-lft-out--
Counts
4 → 459
Calls
4 calls:
41.0ms
(- (/ (* 0.3333333333333333 (/ t z)) y) (/ (/ y z) 3.0))
7.0ms
(* 0.3333333333333333 (/ t z))
6.0ms
(/ (/ y z) 3.0)
5.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

series156.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (/ (* 0.3333333333333333 (/ t z)) y) (/ (/ y z) 3.0))
26.0ms
(* 0.3333333333333333 (/ t z))
20.0ms
(/ (/ y z) 3.0)
31.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

simplify809.0ms

Counts
471 → 471
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
074521516
1181219867
done500017213

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes136.0ms

Accuracy

80.7% (0.3b remaining)

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

bsearch146.0ms

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

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03359
14457
24657
done4657

end0.0ms

sample688.0ms

Algorithm
intervals
Results
397.0ms11001×body80valid