Details

Time bar (total: 1.0s)

sample18.0ms

Algorithm
intervals
Results
6.0ms443×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
33.0ms
(* (+ x y) (+ x y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ x y) (+ x y))

simplify37.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0194221
1953194
25002180

prune49.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (+ x y))
0.0b
(+ (* x (+ x y)) (* y (+ x y)))
0.0b
(* x (+ x y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
3×expm1-log1p-u log1p-expm1-u
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out fma-def sum-log
Counts
3 → 73
Calls
3 calls:
21.0ms
(* y (+ x y))
14.0ms
(+ (* x (+ x y)) (* y (+ x y)))
19.0ms
(* x (+ x y))

series72.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* y (+ x y))
22.0ms
(+ (* x (+ x y)) (* y (+ x y)))
25.0ms
(* x (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0371403
12121342
25001336

prune143.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample528.0ms

Algorithm
intervals
Results
211.0ms14166×body80valid