Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize4.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
6.0ms
(/ x (+ (* x x) 1.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ x (+ (* x x) 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune58.0ms

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)))
12.8b
(sqrt (+ (* x x) 1.0))
12.8b
(sqrt (+ (* x x) 1.0))

rewrite51.0ms

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)))
22.0ms
(/ (/ 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))

series265.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(/ x (sqrt (+ (* x x) 1.0)))
58.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
42.0ms
(sqrt (+ (* x x) 1.0))
47.0ms
(sqrt (+ (* x x) 1.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
07743878
129623482
250023411

prune398.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
12.9b
(/ (+ (* x x) 1.0) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 105
Calls
2 calls:
11.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
9.0ms
(/ (+ (* x x) 1.0) x)

series127.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
72.0ms
(/ (+ (* x x) 1.0) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0397899
11720800
25001722

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
5×add-exp-log
4×associate-/r* distribute-lft-out
3×add-cbrt-cube associate-/l*
2×pow1 div-exp associate-/r/
1×cbrt-undiv rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ div-inv inv-pow add-log-exp
Counts
1 → 37
Calls
1 calls:
12.0ms
(/ 1 (+ x (/ 1.0 x)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ 1 (+ x (/ 1.0 x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0162231
1552207
21805187
35001185

prune41.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes9.0ms

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
093
193

end0.0ms

sample446.0ms

Algorithm
intervals
Results
360.0ms8000×body80valid