Details

Time bar (total: 12.8s)

sample33.0ms

Algorithm
intervals
Results
14.0ms335×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
33.0ms
(* x (- 1.0 (* x y)))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* x (- 1.0 (* x y)))

simplify2.7s

Counts
27 → 27
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
051273
1133270
2569244
34576238
done5001238

prune59.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x y))
0.3b
(* (* x y) (* x y))
0.7b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
6.4b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-plus div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-2neg swap-sqr clear-num sum-log div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
5.0ms
(+ 1.0 (* x y))
29.0ms
(* (* x y) (* x y))
42.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
48.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ 1.0 (* x y))
35.0ms
(* (* x y) (* x y))
99.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
109.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify1.4s

Counts
107 → 107
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01401589
14311456
225341210
done50001206

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x y))
0.1b
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
0.3b
(* (* x y) (* x y))
3.9b
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
64×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
43×pow1
23×add-exp-log add-cbrt-cube
22×associate-/r*
17×pow-prod-down
16×difference-of-squares
11×associate-/r/
8×prod-exp cbrt-unprod
6×div-inv associate-/l* add-log-exp
5×flip3-- flip--
4×cbrt-undiv div-exp pow-sqr pow-prod-up
2×frac-2neg flip3-+ pow-plus clear-num flip-+ associate-/l/
1×+-commutative pow2 swap-sqr associate-*r* associate-*l* sum-log *-commutative
Counts
4 → 170
Calls
4 calls:
11.0ms
(+ 1.0 (* x y))
53.0ms
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
54.0ms
(* (* x y) (* x y))
55.0ms
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ 1.0 (* x y))
97.0ms
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
56.0ms
(* (* x y) (* x y))
132.0ms
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify2.5s

Counts
182 → 182
Iterations

Useful iterations: 2 (907.0ms)

IterNodesCost
02774601
17744322
249154002
done50014002

prune656.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 (* x y)))
0.3b
(* (* x y) (* x y))
1.9b
(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
2.0b
(/ (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
43×pow1
42×cbrt-prod
36×associate-/r*
30×add-exp-log
23×add-cbrt-cube
20×cbrt-div
19×difference-of-squares
17×pow-prod-down
10×flip3-+ prod-exp cbrt-unprod flip-+ associate-/l/
7×cbrt-undiv div-exp associate-/r/
5×associate-/l*
4×frac-times pow-sqr pow-prod-up div-inv add-log-exp
2×frac-2neg pow-plus associate-*r/ associate-*l/ clear-num
1×pow2 flip3-- pow1/3 div-sub swap-sqr associate-*r* associate-*l* *-commutative flip--
Counts
4 → 186
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 (* x y)))
52.0ms
(* (* x y) (* x y))
31.0ms
(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
50.0ms
(/ (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt (+ 1.0 (* x y)))
46.0ms
(* (* x y) (* x y))
374.0ms
(/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y))))
130.0ms
(/ (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))) (/ (- (* 1.0 1.0) (* (* x y) (* x y))) (cbrt (+ 1.0 (* x y)))))

simplify677.0ms

Counts
198 → 198
Iterations

Useful iterations: done (667.0ms)

IterNodesCost
03286040
110085763
done50015393

prune965.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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

sample1.2s

Algorithm
intervals
Results
418.0ms10697×body80valid