Details

Time bar (total: 9.2s)

sample31.0ms

Algorithm
intervals
Results
15.0ms334×body80valid

simplify113.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3747
41347
51707
61937
done1937

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
41.0ms
(* (* x y) (- 1.0 y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (* x y) (- 1.0 y))

simplify2.1s

Counts
49 → 49
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0110883
1336718
22285586
done5001562

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×associate-*l/
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u add-log-exp
Counts
1 → 22
Calls
1 calls:
44.0ms
(* (* (- 1.0 y) y) x)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (* (- 1.0 y) y) x)

simplify685.0ms

Counts
25 → 25
Iterations

Useful iterations: done (684.0ms)

IterNodesCost
057259
1152252
2901216
done5000206

prune65.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (* (cbrt x) (cbrt x)) (* (- 1.0 y) y))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×flip3-- associate-*r* associate-*l* *-commutative flip--
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
111.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 y) y))

series1.2s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
293.0ms
(cbrt x)
304.0ms
(cbrt x)
332.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 y) y))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
091683
1256653
21317502
done5000478

prune334.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite131.0ms

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×expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u 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 → 54
Calls
2 calls:
62.0ms
(* (- (* 1.0 1.0) (* y y)) (* x y))
66.0ms
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y))

series198.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (- (* 1.0 1.0) (* y y)) (* x y))
116.0ms
(/ (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y))

simplify1.7s

Counts
60 → 60
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01081056
13611022
22304840
done5000826

prune214.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes71.0ms

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

sample777.0ms

Algorithm
intervals
Results
395.0ms10675×body80valid