Details

Time bar (total: 2.6s)

sample20.0ms

Algorithm
intervals
Results
11.0ms463×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:
17.0ms
(* (+ x y) (+ x y))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ x y) (+ x y))

simplify38.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0194221
1953194
25002180

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:
9.0ms
(* x (+ x y))
9.0ms
(* y (+ x y))
6.0ms
(+ (* x (+ x y)) (* y (+ x y)))

series77.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* x (+ x y))
26.0ms
(* y (+ x y))
25.0ms
(+ (* x (+ x y)) (* y (+ x y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0371403
12121342
25002336

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
19.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series558.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
125.0ms
(cbrt (+ x y))
130.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))

simplify147.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0255701
1926660
24357610
35001610

prune258.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ x y))
0.1b
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
11.4b
(sqrt (* x (+ x y)))
11.4b
(sqrt (* x (+ x y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*r* add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 114
Calls
4 calls:
9.0ms
(* y (+ x y))
28.0ms
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
4.0ms
(sqrt (* x (+ x y)))
4.0ms
(sqrt (* x (+ x y)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* y (+ x y))
30.0ms
(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
50.0ms
(sqrt (* x (+ x y)))
54.0ms
(sqrt (* x (+ x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0292565
11507501
25001483

prune213.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053
153

end0.0ms

sample556.0ms

Algorithm
intervals
Results
341.0ms14314×body80valid