Details

Time bar (total: 3.5s)

sample274.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) 10.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×distribute-lft-out associate-/l*
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
10.0ms
(/ (+ x y) 10.0)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ (+ x y) 10.0)

simplify84.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0137168
1405158
21074158
33557157
45002157

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
0.3b
(/ (+ x y) (sqrt 10.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
88×times-frac
79×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×associate-*r*
26×add-exp-log
22×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
13×distribute-lft-out
9×div-exp
8×prod-exp
6×associate-/r*
5×cbrt-undiv
4×pow1 cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l/ add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 141
Calls
2 calls:
34.0ms
(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
9.0ms
(/ (+ x y) (sqrt 10.0))

series230.0ms

Counts
2 → 6
Calls
2 calls:
141.0ms
(* (/ 1 (sqrt 10.0)) (/ (+ x y) (sqrt 10.0)))
88.0ms
(/ (+ x y) (sqrt 10.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04731199
129281050
25001873

prune200.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (+ x y) (sqrt (sqrt 10.0)))
0.2b
(* (/ 1 (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0))))
0.3b
(* (/ 1 (sqrt 10.0)) (* (/ 1 (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0)))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
171×add-sqr-sqrt
164×add-exp-log
162×times-frac sqrt-prod
132×*-un-lft-identity
82×add-cube-cbrt
76×prod-exp
59×div-exp
58×add-cbrt-cube
53×associate-*l*
41×associate-*r*
28×unswap-sqr
22×cbrt-unprod
19×rec-exp 1-exp distribute-lft-out
18×cbrt-undiv
10×pow1
9×associate-/r*
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv associate-/l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative associate-/l/
1×frac-2neg flip3-+ clear-num flip-+
Counts
3 → 278
Calls
3 calls:
10.0ms
(/ (+ x y) (sqrt (sqrt 10.0)))
52.0ms
(* (/ 1 (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0))))
58.0ms
(* (/ 1 (sqrt 10.0)) (* (/ 1 (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0)))))

series401.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(/ (+ x y) (sqrt (sqrt 10.0)))
91.0ms
(* (/ 1 (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0))))
154.0ms
(* (/ 1 (sqrt 10.0)) (* (/ 1 (sqrt (sqrt 10.0))) (/ (+ x y) (sqrt (sqrt 10.0)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09093309
150022701

prune379.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (sqrt 10.0)) (/ y (sqrt 10.0)))
0.3b
(* (/ 1 (sqrt 10.0)) (+ (/ x (sqrt 10.0)) (/ y (sqrt 10.0))))
0.4b
(/ x (sqrt 10.0))
0.4b
(/ y (sqrt 10.0))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
107×*-un-lft-identity
89×add-sqr-sqrt
69×add-cube-cbrt
60×sqrt-prod
22×fma-def associate-*l*
18×distribute-lft-out
17×add-exp-log
13×associate-*r* add-cbrt-cube
12×associate-/r*
8×div-inv
6×pow1 associate-/l* add-log-exp
5×unswap-sqr
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×cbrt-undiv frac-times flip3-+ associate-*r/ frac-add flip-+
2×distribute-rgt-out frac-2neg clear-num cbrt-unprod
1×+-commutative distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down associate-*l/ sum-log *-commutative
Counts
4 → 194
Calls
4 calls:
35.0ms
(+ (/ x (sqrt 10.0)) (/ y (sqrt 10.0)))
128.0ms
(* (/ 1 (sqrt 10.0)) (+ (/ x (sqrt 10.0)) (/ y (sqrt 10.0))))
3.0ms
(/ x (sqrt 10.0))
3.0ms
(/ y (sqrt 10.0))

series425.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(+ (/ x (sqrt 10.0)) (/ y (sqrt 10.0)))
201.0ms
(* (/ 1 (sqrt 10.0)) (+ (/ x (sqrt 10.0)) (/ y (sqrt 10.0))))
56.0ms
(/ x (sqrt 10.0))
52.0ms
(/ y (sqrt 10.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05921316
128331191
250011086

prune381.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample407.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid