Details

Time bar (total: 11.1s)

sample28.0ms

Algorithm
intervals
Results
14.0ms324×body80valid

simplify178.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5447
6497
7587
8757
9917
101027
111047
121087
131097
done1097

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.0b
(/ (- y x) z)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
32.0ms
(+ x (/ (- y x) z))
27.0ms
(/ (- y x) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (/ (- y x) z))
65.0ms
(/ (- y x) z)

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: 2 (206.0ms)

IterNodesCost
098616
1231570
2617546
32187546
done5000546

prune188.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- (/ y z) (/ x z)))
0.0b
(- (/ y z) (/ x z))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
487×times-frac
389×*-un-lft-identity
388×add-sqr-sqrt
376×add-cube-cbrt
338×prod-diff
171×associate-+r+
55×div-inv
13×fma-neg
9×add-log-exp
5×distribute-lft-out--
4×difference-of-squares
3×fma-def
2×pow1 add-exp-log expm1-log1p-u sub-neg diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out
1×+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 398
Calls
2 calls:
130.0ms
(+ x (- (/ y z) (/ x z)))
59.0ms
(- (/ y z) (/ x z))

series78.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (- (/ y z) (/ x z)))
37.0ms
(- (/ y z) (/ x z))

simplify2.6s

Counts
404 → 404
Iterations

Useful iterations: done (2.6s)

IterNodesCost
050312252
1105110829
221768274
done50006448

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.7b
(- (pow y 3) (pow x 3))
1.8b
(fma y y (* x (+ y x)))
1.9b
(* (fma y y (* x (+ y x))) z)
38.6b
(/ (- (pow y 3) (pow x 3)) (* (fma y y (* x (+ y x))) z))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
157×add-sqr-sqrt
144×prod-diff
113×*-un-lft-identity
111×unpow-prod-down cube-prod
83×add-cube-cbrt
49×sqr-pow
48×difference-of-squares
25×cube-mult times-frac unpow3 associate-/l*
15×distribute-lft-out--
12×fma-neg
11×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×difference-cubes associate-*r* associate-*l*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×sub-neg frac-2neg diff-log div-sub pow-prod-down clear-num associate-/r* *-commutative fma-udef div-inv unswap-sqr
Counts
4 → 292
Calls
4 calls:
33.0ms
(- (pow y 3) (pow x 3))
1.0ms
(fma y y (* x (+ y x)))
14.0ms
(* (fma y y (* x (+ y x))) z)
167.0ms
(/ (- (pow y 3) (pow x 3)) (* (fma y y (* x (+ y x))) z))

series345.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (pow y 3) (pow x 3))
33.0ms
(fma y y (* x (+ y x)))
62.0ms
(* (fma y y (* x (+ y x))) z)
152.0ms
(/ (- (pow y 3) (pow x 3)) (* (fma y y (* x (+ y x))) z))

simplify1.9s

Counts
304 → 304
Iterations

Useful iterations: 2 (735.0ms)

IterNodesCost
03068100
16655169
220974152
done50004152

prune647.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
done89

end0.0ms

sample1.3s

Algorithm
intervals
Results
889.0ms10181×body80valid