Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
16.0ms363×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1233
2303
3313
4313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 1 expressions with local error:

5.7b
(* 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)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (+ 1.0 (* y y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0148123
1742103
23453100
35001100

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.9b

localize9.0ms

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))))
5.7b
(sqrt (+ 1.0 (* y y)))
5.7b
(sqrt (+ 1.0 (* y y)))

rewrite35.0ms

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:
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)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (sqrt (+ 1.0 (* y y))))
54.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
42.0ms
(sqrt (+ 1.0 (* y y)))
47.0ms
(sqrt (+ 1.0 (* y y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0318724
11362620
25001595

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sqrt (sqrt (+ 1.0 (* y y)))))
0.1b
(* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))
5.7b
(sqrt (+ 1.0 (* y y)))
5.7b
(sqrt (+ 1.0 (* y y)))

rewrite96.0ms

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:
11.0ms
(* x (sqrt (sqrt (+ 1.0 (* y y)))))
77.0ms
(* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(* x (sqrt (sqrt (+ 1.0 (* y y)))))
275.0ms
(* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (hypot (sqrt 1.0) y)) (sqrt (sqrt (+ 1.0 (* y y)))))
41.0ms
(sqrt (+ 1.0 (* y y)))
45.0ms
(sqrt (+ 1.0 (* y y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04711136
121991052
25001943

prune330.0ms

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)))

rewrite13.0ms

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)
3.0ms
(* x (hypot (sqrt 1.0) y))
6.0ms
(* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(hypot (sqrt 1.0) y)
91.0ms
(hypot (sqrt 1.0) y)
174.0ms
(* x (hypot (sqrt 1.0) y))
191.0ms
(* (hypot (sqrt 1.0) y) (* x (hypot (sqrt 1.0) y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0213439
1803361
23698352
35003344

prune188.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

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

sample655.0ms

Algorithm
intervals
Results
482.0ms10695×body80valid