Details

Time bar (total: 2.0s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
13.7b
(/ x (+ (* x x) 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ (* x x) 1.0)
6.0ms
(/ x (+ (* x x) 1.0))

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* x x) 1.0)
55.0ms
(/ x (+ (* x x) 1.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0194267
1717245
23053242
35001242

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (+ (* x x) 1.0)))
0.0b
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
13.6b
(sqrt (+ (* x x) 1.0))
13.6b
(sqrt (+ (* x x) 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 262
Calls
4 calls:
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
21.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series274.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ x (sqrt (+ (* x x) 1.0)))
55.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
45.0ms
(sqrt (+ (* x x) 1.0))
48.0ms
(sqrt (+ (* x x) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07743880
129563482
250013411

prune404.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) 1.0)
0.1b
(/ (/ 1 1) (/ (+ (* x x) 1.0) x))
13.7b
(/ (+ (* x x) 1.0) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
207×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
38×add-exp-log
30×div-exp div-inv
17×add-cbrt-cube
16×associate-/r* associate-/l*
10×1-exp
9×cbrt-undiv
5×add-log-exp
4×rec-exp
3×pow1 associate-/l/
2×frac-2neg flip3-+ clear-num flip-+
1×+-commutative sum-log associate-/r/
Counts
3 → 265
Calls
3 calls:
3.0ms
(+ (* x x) 1.0)
14.0ms
(/ (/ 1 1) (/ (+ (* x x) 1.0) x))
9.0ms
(/ (+ (* x x) 1.0) x)

series165.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* x x) 1.0)
61.0ms
(/ (/ 1 1) (/ (+ (* x x) 1.0) x))
67.0ms
(/ (+ (* x x) 1.0) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012642824
150012454

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1 1) (+ x (* 1.0 (/ 1 x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log
13×associate-/l*
11×div-exp
6×add-cbrt-cube
5×1-exp div-inv
3×cbrt-undiv associate-/r*
2×rec-exp associate-/r/
1×pow1 frac-2neg flip3-+ clear-num flip-+ associate-/l/ add-log-exp
Counts
1 → 77
Calls
1 calls:
8.0ms
(/ (/ 1 1) (+ x (* 1.0 (/ 1 x))))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ (/ 1 1) (+ x (* 1.0 (/ 1 x))))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0391767
12095657
25001559

prune61.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

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
0124
1124

end0.0ms

sample214.0ms

Algorithm
intervals
Results
127.0ms8000×body80valid