Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
6.0ms354×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1203
2223
3223

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
5.0b
(* x (+ 1.0 (* y y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(+ 1.0 (* y y))
15.0ms
(* x (+ 1.0 (* y y)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ 1.0 (* y y))
51.0ms
(* x (+ 1.0 (* y y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0168171
1790152
23413149
35001149

prune66.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0b
(sqrt (+ 1.0 (* y y)))
5.0b
(sqrt (+ 1.0 (* y y)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
17.0ms
(* x (sqrt (+ 1.0 (* y y))))
41.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* x (sqrt (+ 1.0 (* y y))))
46.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
40.0ms
(sqrt (+ 1.0 (* y y)))
38.0ms
(sqrt (+ 1.0 (* y y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0306681
11316604
25002594

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.0b
(sqrt (+ 1.0 (* y y)))
5.0b
(sqrt (+ 1.0 (* y y)))
5.0b
(sqrt (+ 1.0 (* y y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-div
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log flip3-+ associate-*r* add-cbrt-cube flip-+
8×associate-*r/
4×frac-times add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*l* *-commutative
Counts
4 → 77
Calls
4 calls:
51.0ms
(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
40.0ms
(sqrt (+ 1.0 (* y y)))
37.0ms
(sqrt (+ 1.0 (* y y)))
41.0ms
(sqrt (+ 1.0 (* y y)))

simplify136.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0298736
11063653
24704639
35001639

prune234.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 5.1b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 5.1b

regimes73.0ms

Accuracy

0% (0.2b remaining)

Error of 5.6b against oracle of 5.4b and baseline of 5.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
1118

end0.0ms

sample387.0ms

Algorithm
intervals
Results
173.0ms10591×body80valid