Details

Time bar (total: 6.4s)

sample153.0ms

Algorithm
intervals
Results
14.0ms322×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
done155

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
62.0ms
(* (+ x y) z)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (+ x y) z)

simplify496.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
045178
1111175
2499151
done5000151

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
11×add-sqr-sqrt *-un-lft-identity
10×associate-*l/
9×pow1 add-exp-log sqrt-prod add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
41.0ms
(* (sqrt (+ x y)) z)
82.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series159.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (sqrt (+ x y)) z)
54.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify852.0ms

Counts
61 → 61
Iterations

Useful iterations: done (849.0ms)

IterNodesCost
0106831
1271763
21058567
done5001559

prune282.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* y (- y x)) (* x x))
2.1b
(+ (pow x 3) (pow y 3))
5.3b
(* (+ (pow x 3) (pow y 3)) z)
34.5b
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* y (- y x)) (* x x)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt distribute-lft-out
9×associate-*l*
8×add-cube-cbrt unpow-prod-down cube-prod add-log-exp
6×pow1
5×flip3-+ flip-+
4×associate-+l+ associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv +-commutative distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp sum-log associate-/r/ sum-cubes cbrt-unprod associate-/l/
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
15.0ms
(+ (* y (- y x)) (* x x))
28.0ms
(+ (pow x 3) (pow y 3))
124.0ms
(* (+ (pow x 3) (pow y 3)) z)
70.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* y (- y x)) (* x x)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* y (- y x)) (* x x))
76.0ms
(+ (pow x 3) (pow y 3))
85.0ms
(* (+ (pow x 3) (pow y 3)) z)
127.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* y (- y x)) (* x x)))

simplify1.8s

Counts
95 → 95
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01301494
13671434
222231238
done50001230

prune518.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes279.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample855.0ms

Algorithm
intervals
Results
346.0ms10007×body80valid