Details

Time bar (total: 1.7s)

sample12.0ms

Algorithm
intervals
Results
7.0ms256×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: 14.8b

localize4.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ 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))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ x (+ (* x x) 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0165210
1555195
21833192
35001192

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

4.2b
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
21.3b
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite51.0ms

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:
11.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
37.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series240.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
108.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0427860
11887778
25003745

prune185.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 5))
0.3b
(/ 1 (pow x 3))
17.6b
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
21×add-exp-log
19×associate-/r*
12×cube-prod div-exp
8×frac-sub add-log-exp sqr-pow
7×add-cbrt-cube
6×pow-to-exp rec-exp 1-exp associate-*r/ pow-exp un-div-inv associate-/l*
4×cube-mult unpow3 frac-add
3×pow1
2×cbrt-undiv pow-flip frac-2neg flip3-+ diff-log clear-num flip-+ div-inv inv-pow
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 148
Calls
3 calls:
4.0ms
(/ 1 (pow x 5))
4.0ms
(/ 1 (pow x 3))
77.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (pow x 5))
32.0ms
(/ 1 (pow x 3))
48.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify80.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0495975
12740787
25002779

prune198.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.2b

bsearch67.0ms

Steps
ItersRangePoint
6
257763.20554958374
2982023.6024327357
261301.49671835295
10
-772.3369502403921
-4.163765984402517e-10
-599.2763266259171

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04217
14217

end0.0ms

sample317.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid