Details

Time bar (total: 3.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms340×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: 6.8b

localize4.0ms

Local error

Found 1 expressions with local error:

6.4b
(* x (+ 1.0 (* y y)))

rewrite15.0ms

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:
15.0ms
(* x (+ 1.0 (* y y)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (+ 1.0 (* y y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0148123
1742103
23453100
35001100

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.6b

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))))
6.4b
(sqrt (+ 1.0 (* y y)))
6.4b
(sqrt (+ 1.0 (* y y)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×sqrt-div
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×expm1-log1p-u frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative hypot-def unswap-sqr
Counts
4 → 93
Calls
4 calls:
17.0ms
(* x (sqrt (+ 1.0 (* y y))))
42.0ms
(* (* 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)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (sqrt (+ 1.0 (* y y))))
48.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
36.0ms
(sqrt (+ 1.0 (* y y)))
40.0ms
(sqrt (+ 1.0 (* y y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0318722
11367620
25002595

prune236.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sqrt (sqrt (+ 1.0 (* y y)))))
0.2b
(* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))
6.4b
(sqrt (+ 1.0 (* y y)))
6.4b
(sqrt (+ 1.0 (* y y)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-div
27×sqrt-prod
23×add-sqr-sqrt
18×associate-*r*
17×pow1
15×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
10×associate-*r/
9×flip3-+ flip-+
8×associate-*l/
7×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×unswap-sqr
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative hypot-def
Counts
4 → 103
Calls
4 calls:
21.0ms
(* x (sqrt (sqrt (+ 1.0 (* y y)))))
150.0ms
(* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))
5.0ms
(sqrt (+ 1.0 (* y y)))
8.0ms
(sqrt (+ 1.0 (* y y)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* x (sqrt (sqrt (+ 1.0 (* y y)))))
245.0ms
(* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))
37.0ms
(sqrt (+ 1.0 (* y y)))
40.0ms
(sqrt (+ 1.0 (* y y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04711136
121991052
25001943

prune329.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot (sqrt 1.0) y)
0.0b
(hypot (sqrt 1.0) y)
0.0b
(* x (hypot (sqrt 1.0) y))
0.1b
(* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×hypot-udef *-commutative
1×unswap-sqr
Counts
4 → 60
Calls
4 calls:
0.0ms
(hypot (sqrt 1.0) y)
0.0ms
(hypot (sqrt 1.0) y)
9.0ms
(* x (hypot (sqrt 1.0) y))
16.0ms
(* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(hypot (sqrt 1.0) y)
91.0ms
(hypot (sqrt 1.0) y)
154.0ms
(* x (hypot (sqrt 1.0) y))
177.0ms
(* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0213439
1803361
23698352
35003344

prune176.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

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
0136
1136

end0.0ms

sample371.0ms

Algorithm
intervals
Results
169.0ms10679×body80valid