Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
7.0ms
(* x (+ 1.0 (* y y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* x (+ 1.0 (* y y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0144115
1712101
23303100
35003100

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.1b

localize6.0ms

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)))

rewrite37.0ms

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:
8.0ms
(* x (sqrt (+ 1.0 (* y y))))
19.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* x (sqrt (+ 1.0 (* y y))))
54.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
46.0ms
(sqrt (+ 1.0 (* y y)))
41.0ms
(sqrt (+ 1.0 (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0306681
11316604
25002594

prune193.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (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)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×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:
20.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))
5.0ms
(sqrt (+ 1.0 (* y y)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))
43.0ms
(sqrt (+ 1.0 (* y y)))
43.0ms
(sqrt (+ 1.0 (* y y)))
40.0ms
(sqrt (+ 1.0 (* y y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0326750
11334711
25002684

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 4 expressions with local error:

5.0b
(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)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(sqrt (+ 1.0 (* y y)))
40.0ms
(sqrt (+ 1.0 (* y y)))
43.0ms
(sqrt (+ 1.0 (* y y)))
41.0ms
(sqrt (+ 1.0 (* y y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0135416
1448408
21981400
35001396

prune216.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 5.1b

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 5.5b against oracle of 5.3b and baseline of 5.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample572.0ms

Algorithm
intervals
Results
407.0ms10768×body80valid