Details

Time bar (total: 6.7s)

sample135.0ms

Algorithm
intervals
Results
13.0ms322×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
3195
done195

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
76.0ms
(* (+ x y) z)

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (+ x y) z)

simplify655.0ms

Counts
26 → 26
Iterations

Useful iterations: done (653.0ms)

IterNodesCost
047190
1115185
2533165
done5000163

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
11×add-sqr-sqrt *-un-lft-identity
10×associate-*l/
pow1 add-exp-log sqrt-prod add-cbrt-cube
add-cube-cbrt flip3-+ flip-+
frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u associate-*r/ *-commutative log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 59
Calls
2 calls:
34.0ms
(* (sqrt (+ x y)) z)
82.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series140.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (sqrt (+ x y)) z)
64.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify897.0ms

Counts
65 → 65
Iterations

Useful iterations: done (894.0ms)

IterNodesCost
0110869
1283797
21088587
done5000579

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.8b
(fma x x (* y (- y 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) (fma x x (* y (- y x))))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
13×add-sqr-sqrt
12×fma-def
11×add-exp-log add-cube-cbrt unpow-prod-down cube-prod add-cbrt-cube
10×distribute-lft-out
associate-*l*
pow1 add-log-exp
expm1-log1p-u associate-*l/ log1p-expm1-u
flip3-+ times-frac associate-*r* associate-/r* flip-+
cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
+-commutative cube-mult frac-2neg unpow3 pow-prod-down clear-num sum-log *-commutative fma-udef div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 94
Calls
4 calls:
0.0ms
(fma x x (* y (- y x)))
27.0ms
(+ (pow x 3) (pow y 3))
136.0ms
(* (+ (pow x 3) (pow y 3)) z)
56.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (fma x x (* y (- y x))))

series357.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma x x (* y (- y x)))
80.0ms
(+ (pow x 3) (pow y 3))
85.0ms
(* (+ (pow x 3) (pow y 3)) z)
155.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (fma x x (* y (- y x))))

simplify1.6s

Counts
106 → 106
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01181381
12911321
217991143
done50011135

prune684.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes288.0ms

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

sample906.0ms

Algorithm
intervals
Results
398.0ms10007×body80valid