Details

Time bar (total: 2.1s)

sample10.0ms

Algorithm
intervals
Results
5.0ms256×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: 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))

rewrite10.0ms

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 expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
3.0ms
(+ (* x x) 1.0)
6.0ms
(/ x (+ (* x x) 1.0))

series89.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* x x) 1.0)
57.0ms
(/ x (+ (* x x) 1.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0205273
1756247
23230239
35002237

prune99.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

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))

rewrite53.0ms

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-+
9×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num hypot-def
1×associate-/l/
Counts
4 → 272
Calls
4 calls:
6.0ms
(/ x (sqrt (+ (* x x) 1.0)))
20.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
7.0ms
(sqrt (+ (* x x) 1.0))

series271.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ x (sqrt (+ (* x x) 1.0)))
59.0ms
(/ (/ x (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0)))
41.0ms
(sqrt (+ (* x x) 1.0))
47.0ms
(sqrt (+ (* x x) 1.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07933899
130513471
250013391

prune440.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1 1) (/ (fma x x 1.0) x))
13.7b
(/ (fma x x 1.0) x)

rewrite31.0ms

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
9×cbrt-undiv
4×rec-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 256
Calls
2 calls:
14.0ms
(/ (/ 1 1) (/ (fma x x 1.0) x))
2.0ms
(/ (fma x x 1.0) x)

series153.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ (/ 1 1) (/ (fma x x 1.0) x))
84.0ms
(/ (fma x x 1.0) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011942338
150011984

prune232.0ms

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) (fma 1.0 (/ 1 x) x))

rewrite10.0ms

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
1×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))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (/ 1 1) (fma 1.0 (/ 1 x) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0347601
11837528
25001446

prune69.0ms

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
093
193

end0.0ms

sample230.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid