Details

Time bar (total: 11.0s)

sample14.0ms

Algorithm
intervals
Results
6.0ms356×body80valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2317
3617
4867
5927
6967
done967

prune3.0ms

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))

rewrite16.0ms

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:
14.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify2.7s

Counts
49 → 49
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0110883
1292712
2954570
33956528
done5000528

prune59.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- (pow (cbrt 1.0) 3) y))
0.1b
(* y (* x (- (pow (cbrt 1.0) 3) y)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
324×prod-diff
280×distribute-rgt-in distribute-lft-in
216×add-sqr-sqrt
205×*-un-lft-identity
203×add-cube-cbrt
110×cbrt-prod unpow-prod-down cube-prod
19×sqr-pow
18×cube-mult unpow3
11×associate-*r*
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*l* difference-of-squares
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- unswap-sqr
Counts
2 → 387
Calls
2 calls:
57.0ms
(* x (- (pow (cbrt 1.0) 3) y))
73.0ms
(* y (* x (- (pow (cbrt 1.0) 3) y)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- (pow (cbrt 1.0) 3) y))
45.0ms
(* y (* x (- (pow (cbrt 1.0) 3) y)))

simplify1.3s

Counts
393 → 393
Iterations

Useful iterations: done (1.3s)

IterNodesCost
039912405
18486808
215594956
done50004632

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) y)
5.0b
(* x (* (- 1.0 y) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- 1.0 y) y)
12.0ms
(* x (* (- 1.0 y) y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- 1.0 y) y)
47.0ms
(* x (* (- 1.0 y) y))

simplify2.5s

Counts
52 → 52
Iterations

Useful iterations: 3 (767.0ms)

IterNodesCost
077461
1183451
2639387
33092375
done5001375

prune93.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* 1.0 y))
0.7b
(* (* x y) (- (pow 1.0 3) (pow y 3)))
10.5b
(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
288×prod-diff
174×add-sqr-sqrt
160×*-un-lft-identity
156×unpow-prod-down cube-prod
150×add-cube-cbrt
146×distribute-rgt-in distribute-lft-in
56×sqr-pow
48×cube-mult unpow3
25×associate-*r*
17×add-exp-log add-cbrt-cube
16×difference-of-squares
8×pow1
6×prod-exp cbrt-unprod
5×distribute-lft-out-- add-log-exp
4×associate-*r/
3×cbrt-undiv expm1-log1p-u times-frac div-exp pow-prod-down associate-/r* log1p-expm1-u
2×sub-neg flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×difference-cubes +-commutative distribute-rgt-out fma-def frac-2neg associate-*l* clear-num sum-log *-commutative div-inv associate-/l*
Counts
3 → 380
Calls
3 calls:
3.0ms
(+ (* y y) (* 1.0 y))
69.0ms
(* (* x y) (- (pow 1.0 3) (pow y 3)))
91.0ms
(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series333.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (* y y) (* 1.0 y))
105.0ms
(* (* x y) (- (pow 1.0 3) (pow y 3)))
173.0ms
(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify2.3s

Counts
389 → 389
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
048114832
113618980
244857121
done50007121

prune284.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01318
11818
done1818

end0.0ms

sample336.0ms

Algorithm
intervals
Results
179.0ms10676×body80valid