Details

Time bar (total: 1.8s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize7.0ms

Local error

Found 1 expressions with local error:

17.1b
(/ x (+ (* x x) 1.0))

rewrite7.0ms

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))

series55.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune62.0ms

Filtered
32 candidates to 26 candidates (81.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (+ (* x x) 1.0))
17.0b
(* x (/ 1 (+ (* x x) 1.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
6.0ms
(/ 1 (+ (* x x) 1.0))
17.0ms
(* x (/ 1 (+ (* x x) 1.0)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (+ (* x x) 1.0))
58.0ms
(* x (/ 1 (+ (* x x) 1.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0316470
11443410
25001374

prune102.0ms

Filtered
77 candidates to 47 candidates (61.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
17.1b
(/ (+ (* x x) 1.0) x)

rewrite23.0ms

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:
9.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
11.0ms
(/ (+ (* x x) 1.0) x)

series124.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
69.0ms
(/ (+ (* x x) 1.0) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0397899
11720800
25001722

prune128.0ms

Filtered
111 candidates to 62 candidates (55.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
0.1b
(/ 1 (pow x 3))
0.4b
(/ 1 (pow x 5))
16.9b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
4×pow1 cube-mult associate-+l+ unpow3
3×sub-neg associate-*r/ frac-add
2×cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
62.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
5.0ms
(/ 1 (pow x 3))
4.0ms
(/ 1 (pow x 5))
60.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
36.0ms
(/ 1 (pow x 3))
43.0ms
(/ 1 (pow x 5))
95.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify88.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06871931
128791646
250011645

prune280.0ms

Filtered
239 candidates to 92 candidates (38.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes45.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch52.0ms

Steps
ItersRangePoint
9
19555.519105776155
5849697155433.691
50461.05920151082
7
-4240874295.0135207
-33514344.933988083
-4182345296.2656183

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212
13212

end0.0ms

sample213.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid