Details

Time bar (total: 2.3s)

sample13.0ms

Algorithm
intervals
Results
6.0ms330×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1233
2303
3313
4313

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize4.0ms

Local error

Found 1 expressions with local error:

4.8b
(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (+ 1.0 (* y y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (+ 1.0 (* y y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0148123
1742103
23453100
35001100

prune60.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
9.4b
(* x (* y y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (* y y)))
6.0ms
(* x (* y y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x 1.0) (* x (* y y)))
28.0ms
(* x (* y y))

simplify82.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0177177
1681146
22809143
35001142

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x y) y))
0.2b
(* (* x y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x y) y))
6.0ms
(* (* x y) y)

series90.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* x 1.0) (* (* x y) y))
28.0ms
(* (* x y) y)

simplify128.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0184173
1862149
24478140
35001139

prune79.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series710.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
172.0ms
(cbrt y)
165.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune214.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample348.0ms

Algorithm
intervals
Results
192.0ms10659×body80valid