Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

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
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
6.0ms
(/ x (+ (* x x) 1.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ x (+ (* x x) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune76.0ms

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))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
166×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-+
div-inv
pow1
cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num hypot-def
associate-/l/
Counts
4 → 272
Calls
4 calls:
6.0ms
(/ 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))
5.0ms
(sqrt (+ (* x x) 1.0))

series296.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(/ x (sqrt (+ (* x x) 1.0)))
64.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
45.0ms
(sqrt (+ (* x x) 1.0))
51.0ms
(sqrt (+ (* x x) 1.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07933897
130573471
250013391

prune455.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1 1) (/ (fma x x 1.0) x))
12.9b
(/ (fma x x 1.0) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×add-exp-log
30×div-exp div-inv
16×associate-/r* add-cbrt-cube associate-/l*
10×1-exp
cbrt-undiv
rec-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/r/ associate-/l/
Counts
2 → 256
Calls
2 calls:
11.0ms
(/ (/ 1 1) (/ (fma x x 1.0) x))
2.0ms
(/ (fma x x 1.0) x)

series169.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (/ 1 1) (/ (fma x x 1.0) x))
93.0ms
(/ (fma x x 1.0) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011982397
150021993

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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
add-cbrt-cube
1-exp div-inv
cbrt-undiv associate-/r*
rec-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 77
Calls
1 calls:
6.0ms
(/ (/ 1 1) (fma 1.0 (/ 1 x) x))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (/ 1 1) (fma 1.0 (/ 1 x) x))

simplify38.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0347601
11837528
25001446

prune65.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

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

sample445.0ms

Algorithm
intervals
Results
354.0ms8000×body80valid