Details

Time bar (total: 12.5s)

sample27.0ms

Algorithm
intervals
Results
13.0ms291×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
144468
131561
12595
11277
10170
9166
8148
7120
686
574
460
345
230
119
08

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (+ 1.0 (/ x y)) (/ (+ 1.0 x) x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
122×*-un-lft-identity
58×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
16×associate-/r*
6×add-cbrt-cube add-exp-log div-inv
4×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×expm1-log1p-u pow1 clear-num frac-2neg flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
Counts
1 → 103
Calls
1 calls:
40.0ms
(/ (+ 1.0 (/ x y)) (/ (+ 1.0 x) x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ 1.0 (/ x y)) (/ (+ 1.0 x) x))

simplify957.0ms

Counts
106 → 106
Iterations
IterNodes
done5001
22516
1481
0175

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1 x) (+ 1.0 x))
0.1b
(* (+ 1.0 (/ x y)) (/ (* 1 x) (+ 1.0 x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
16×add-cbrt-cube
15×*-un-lft-identity
10×associate-*r*
9×add-sqr-sqrt
8×times-frac prod-exp
7×add-cube-cbrt
6×div-exp
5×cbrt-unprod
4×pow1 cbrt-undiv associate-/r* flip3-+ associate-*l* associate-/r/ flip-+ distribute-lft-out
2×expm1-log1p-u frac-times 1-exp associate-*l/ log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l* unswap-sqr
Counts
2 → 66
Calls
2 calls:
13.0ms
(/ (* 1 x) (+ 1.0 x))
75.0ms
(* (+ 1.0 (/ x y)) (/ (* 1 x) (+ 1.0 x)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (* 1 x) (+ 1.0 x))
68.0ms
(* (+ 1.0 (/ x y)) (/ (* 1 x) (+ 1.0 x)))

simplify1.3s

Counts
72 → 72
Iterations
IterNodes
done5000
22513
1417
0133

prune385.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (+ 1.0 x) x)) (cbrt (/ (+ 1.0 x) x)))
0.3b
(cbrt (/ (+ 1.0 x) x))
0.3b
(cbrt (/ (+ 1.0 x) x))
0.3b
(cbrt (/ (+ 1.0 x) x))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×distribute-lft-out
25×swap-sqr
19×associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 176
Calls
4 calls:
83.0ms
(* (cbrt (/ (+ 1.0 x) x)) (cbrt (/ (+ 1.0 x) x)))
8.0ms
(cbrt (/ (+ 1.0 x) x))
4.0ms
(cbrt (/ (+ 1.0 x) x))
5.0ms
(cbrt (/ (+ 1.0 x) x))

series736.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt (/ (+ 1.0 x) x)) (cbrt (/ (+ 1.0 x) x)))
152.0ms
(cbrt (/ (+ 1.0 x) x))
177.0ms
(cbrt (/ (+ 1.0 x) x))
187.0ms
(cbrt (/ (+ 1.0 x) x))

simplify1.1s

Counts
188 → 188
Iterations
IterNodes
done5000
21859
1403
0194

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (- (/ x y) 1.0) (/ x y) (* 1.0 1.0))
0.3b
(pow (/ x y) 3)
1.0b
(* (+ (pow (/ x y) 3) (pow 1.0 3)) x)
16.5b
(/ (* (+ (pow (/ x y) 3) (pow 1.0 3)) x) (* (fma (- (/ x y) 1.0) (/ x y) (* 1.0 1.0)) (+ 1.0 x)))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
23×add-sqr-sqrt
21×add-cbrt-cube add-exp-log add-cube-cbrt
19×times-frac
17×unpow-prod-down cube-prod
9×associate-*l*
7×pow1
5×cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×pow-unpow flip3-+ associate-*r* flip-+ div-inv
2×pow-exp associate-*r/ associate-/r/ rem-cube-cbrt associate-/l/
1×cube-div cube-mult pow-to-exp clear-num associate-/r* pow-pow frac-2neg unpow3 pow-prod-down sum-cubes *-commutative fma-udef associate-/l* unswap-sqr sqr-pow
Counts
4 → 113
Calls
4 calls:
0.0ms
(fma (- (/ x y) 1.0) (/ x y) (* 1.0 1.0))
6.0ms
(pow (/ x y) 3)
191.0ms
(* (+ (pow (/ x y) 3) (pow 1.0 3)) x)
79.0ms
(/ (* (+ (pow (/ x y) 3) (pow 1.0 3)) x) (* (fma (- (/ x y) 1.0) (/ x y) (* 1.0 1.0)) (+ 1.0 x)))

series307.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma (- (/ x y) 1.0) (/ x y) (* 1.0 1.0))
42.0ms
(pow (/ x y) 3)
120.0ms
(* (+ (pow (/ x y) 3) (pow 1.0 3)) x)
113.0ms
(/ (* (+ (pow (/ x y) 3) (pow 1.0 3)) x) (* (fma (- (/ x y) 1.0) (/ x y) (* 1.0 1.0)) (+ 1.0 x)))

simplify1.9s

Counts
125 → 125
Iterations
IterNodes
done5000
24613
1742
0200

prune574.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
217
116
010

end0.0ms

sample1.2s

Algorithm
intervals
Results
923.0ms9153×body80valid