Details

Time bar (total: 14.2s)

sample29.0ms

Algorithm
intervals
Results
7.0ms190×body80valid
4.0ms26×body640valid
2.0ms13×body1280valid
2.0ms15×body320valid
1.0ms12×body160valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (41.0ms)

IterNodesCost
0811
11611
23511
37611
416110
546610
6186810
done500010

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x 1.0) (+ y 1.0))
15.4b
(fma (/ (- x 1.0) (+ y 1.0)) y 1.0)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
23×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×add-exp-log associate-/r* add-cbrt-cube
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ fma-udef div-inv
Counts
2 → 58
Calls
2 calls:
26.0ms
(/ (- x 1.0) (+ y 1.0))
1.0ms
(fma (/ (- x 1.0) (+ y 1.0)) y 1.0)

series144.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- x 1.0) (+ y 1.0))
92.0ms
(fma (/ (- x 1.0) (+ y 1.0)) y 1.0)

simplify975.0ms

Counts
64 → 64
Iterations

Useful iterations: done (972.0ms)

IterNodesCost
0114834
1282799
21133747
done5002743

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) y)
3.0b
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
4.2b
(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
30×add-sqr-sqrt prod-diff
24×add-cube-cbrt
16×times-frac
10×add-exp-log add-cbrt-cube
8×associate-/r/
5×pow1 associate-*l* distribute-lft-out add-log-exp
4×flip3-+ associate-*l/ associate-/r* flip-+ div-inv
3×expm1-log1p-u flip3-- fma-neg associate-*r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 102
Calls
3 calls:
24.0ms
(* (- 1.0 x) y)
30.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
24.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

series251.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* (- 1.0 x) y)
120.0ms
(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
72.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))

simplify2.6s

Counts
111 → 111
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02022757
15532332
231951872
done50011827

prune316.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(/ y (+ y 1.0))
3.0b
(fma (- (- 1.0 x)) (/ y (+ y 1.0)) (pow (cbrt 1.0) 3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
8×associate-/r* distribute-lft-out
7×add-exp-log add-cbrt-cube
6×associate-/l*
4×associate-/r/
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×fma-udef
Counts
3 → 80
Calls
3 calls:
19.0ms
(/ y (+ y 1.0))
12.0ms
(/ y (+ y 1.0))
0.0ms
(fma (- (- 1.0 x)) (/ y (+ y 1.0)) (pow (cbrt 1.0) 3))

series219.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ y 1.0))
61.0ms
(/ y (+ y 1.0))
116.0ms
(fma (- (- 1.0 x)) (/ y (+ y 1.0)) (pow (cbrt 1.0) 3))

simplify785.0ms

Counts
89 → 89
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
097983
1228900
2931828
done5001822

prune432.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

3.0b
(- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3))
4.2b
(/ (* (- 1.0 x) y) (+ y 1.0))
4.2b
(/ (* (- 1.0 x) y) (+ y 1.0))
11.8b
(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (fma (fma (/ (- 1.0 x) (+ y 1.0)) y 1.0) (/ (* (- 1.0 x) y) (+ y 1.0)) (* 1.0 1.0)))

rewrite591.0ms

Algorithm
rewrite-expression-head
Rules
312×prod-diff
299×add-sqr-sqrt
285×*-un-lft-identity
261×unpow-prod-down cube-prod
179×add-cube-cbrt times-frac
80×difference-of-squares
79×sqr-pow
52×associate-/r/
39×cube-mult unpow3
28×distribute-lft-out
27×div-inv associate-/l*
26×flip3-+ flip-+
25×distribute-lft-out--
16×add-exp-log add-cbrt-cube
12×fma-neg
11×associate-/r*
6×associate-/l/ add-log-exp
5×difference-cubes cbrt-undiv div-exp
4×pow1 expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
3×frac-2neg clear-num
2×prod-exp cbrt-unprod
1×sub-neg diff-log div-sub
Counts
4 → 538
Calls
4 calls:
145.0ms
(- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3))
40.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
36.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
318.0ms
(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (fma (fma (/ (- 1.0 x) (+ y 1.0)) y 1.0) (/ (* (- 1.0 x) y) (+ y 1.0)) (* 1.0 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
257.0ms
(- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3))
68.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
56.0ms
(/ (* (- 1.0 x) y) (+ y 1.0))
843.0ms
(/ (- (pow 1.0 3) (pow (/ (* (- 1.0 x) y) (+ y 1.0)) 3)) (fma (fma (/ (- 1.0 x) (+ y 1.0)) y 1.0) (/ (* (- 1.0 x) y) (+ y 1.0)) (* 1.0 1.0)))

simplify1.0s

Counts
550 → 550
Iterations

Useful iterations: done (987.0ms)

IterNodesCost
049434819
1127826838
done500021776

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes136.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 14.7b

bsearch158.0ms

Steps
ItersRangePoint
9
388.37859194422595
403275480.5297131
181304849.28239116
9
-7479483537821808.0
-2823503834.9923654
-2868269604.961125

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02557
13448
done3448

end0.0ms

sample1.1s

Algorithm
intervals
Results
289.0ms6045×body80valid
175.0ms398×body1280valid
170.0ms765×body640valid
168.0ms505×body320valid
24.0ms287×body160valid