Details

Time bar (total: 7.6s)

sample28.0ms

Algorithm
intervals
Results
15.0ms334×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
50.0ms
(* (* x y) (- 1.0 y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (* x y) (- 1.0 y))

simplify787.0ms

Counts
29 → 29
Iterations

Useful iterations: done (786.0ms)

IterNodesCost
060303
1175294
21142254
done5000242

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

1.5b
(* x (* y (- 1.0 y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
8×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
4×sub-neg associate-*r/
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×flip3-- associate-*r* *-commutative flip-- add-log-exp
Counts
1 → 28
Calls
1 calls:
31.0ms
(* x (* y (- 1.0 y)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (* y (- 1.0 y)))

simplify464.0ms

Counts
31 → 31
Iterations

Useful iterations: done (463.0ms)

IterNodesCost
064328
1160323
2726275
done5000271

prune54.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (- (* 1.0 1.0) (* y y)) (* x y))
2.9b
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×*-un-lft-identity
7×pow1
6×prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt
4×times-frac associate-*l* associate-*l/ associate-/r*
3×cbrt-undiv div-exp pow-prod-down
2×flip3-- associate-/r/ flip-- associate-/l/ distribute-lft-out add-log-exp
1×frac-2neg flip3-+ associate-*r* clear-num *-commutative flip-+ div-inv associate-/l* difference-of-squares
Counts
2 → 50
Calls
2 calls:
45.0ms
(* (- (* 1.0 1.0) (* y y)) (* x y))
40.0ms
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y))

series185.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (- (* 1.0 1.0) (* y y)) (* x y))
98.0ms
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y))

simplify1.5s

Counts
56 → 56
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01041000
1348969
22277787
done5001773

prune194.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
0.3b
(* (- (* 1.0 1.0) (* y y)) (* x y))
0.6b
(/ (/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y)))
2.4b
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
122×cbrt-div
100×times-frac
91×*-un-lft-identity
80×cbrt-prod
74×associate-/r/
61×add-exp-log flip3-+ flip-+
57×add-sqr-sqrt
49×add-cube-cbrt
40×frac-times add-cbrt-cube
24×associate-*l/
22×prod-exp cbrt-unprod
20×associate-*r/ distribute-lft-out
19×cbrt-undiv div-exp
16×pow1
14×associate-/l*
11×associate-*l*
10×div-inv
9×swap-sqr
8×associate-*r* associate-/r*
6×pow1/3
5×pow-prod-down
4×add-log-exp unswap-sqr
3×associate-/l/
2×flip3-- frac-2neg clear-num pow-sqr *-commutative pow-prod-up flip--
1×pow2 pow-plus difference-of-squares
Counts
4 → 247
Calls
4 calls:
74.0ms
(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
53.0ms
(* (- (* 1.0 1.0) (* y y)) (* x y))
89.0ms
(/ (/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y)))
68.0ms
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))
56.0ms
(* (- (* 1.0 1.0) (* y y)) (* x y))
121.0ms
(/ (/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (cbrt (+ 1.0 y)))
664.0ms
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y))))

simplify736.0ms

Counts
259 → 259
Iterations

Useful iterations: done (716.0ms)

IterNodesCost
03798324
111227916
done50007059

prune1.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample872.0ms

Algorithm
intervals
Results
445.0ms10675×body80valid