Details

Time bar (total: 1.4s)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize7.0ms

Local error

Found 1 expressions with local error:

17.7b
(/ 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))

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 (15.0ms)

IterNodesCost
0165210
1555195
21839192
35001192

prune65.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (+ (* x x) 1.0) x))
17.6b
(/ (+ (* x x) 1.0) x)

rewrite18.0ms

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:
8.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
6.0ms
(/ (+ (* x x) 1.0) x)

series130.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 1 (/ (+ (* x x) 1.0) x))
71.0ms
(/ (+ (* x x) 1.0) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0397899
11720800
25001722

prune128.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
8.0ms
(/ 1 (+ x (/ 1.0 x)))

series46.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0162231
1552207
21805187
35001185

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

1.8b
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
22.4b
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 79
Calls
2 calls:
8.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
15.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series231.0ms

Counts
2 → 6
Calls
2 calls:
125.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
105.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0427860
11887778
25003745

prune179.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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

sample210.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid