Details

Time bar (total: 1.9s)

sample10.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize4.0ms

Local error

Found 1 expressions with local error:

16.0b
(/ 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))

series62.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ x (+ (* x x) 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0165210
1555195
21839192
35001190

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sqrt (+ (* x x) 1.0)))
0.0b
(/ x (sqrt (+ (* x x) 1.0)))
15.9b
(sqrt (+ (* x x) 1.0))
15.9b
(sqrt (+ (* x x) 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity times-frac
30×sqrt-prod
12×associate-/r*
10×add-exp-log
8×pow1 sqrt-div add-cbrt-cube
6×associate-/l*
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 118
Calls
4 calls:
7.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
7.0ms
(/ x (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
6.0ms
(sqrt (+ (* x x) 1.0))

series288.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
122.0ms
(/ x (sqrt (+ (* x x) 1.0)))
46.0ms
(sqrt (+ (* x x) 1.0))
44.0ms
(sqrt (+ (* x x) 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0388970
11519893
25001855

prune236.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (pow x 3)) (/ 1 x))
0.2b
(/ 1.0 (pow x 5))
0.2b
(/ 1.0 (pow x 3))
16.4b
(- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
87×times-frac
70×*-un-lft-identity
45×add-cube-cbrt
28×unpow-prod-down
19×associate-/r* difference-of-squares
15×cube-prod
14×add-exp-log
12×sqr-pow
11×add-log-exp
10×distribute-lft-out--
8×add-cbrt-cube
6×div-exp associate-/l*
5×frac-sub
4×pow1 cube-mult diff-log unpow3 div-inv
3×sub-neg flip3-- flip--
2×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num associate--r+
1×associate--r-
Counts
4 → 168
Calls
4 calls:
45.0ms
(- (/ 1.0 (pow x 3)) (/ 1 x))
3.0ms
(/ 1.0 (pow x 5))
6.0ms
(/ 1.0 (pow x 3))
134.0ms
(- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (/ 1.0 (pow x 3)) (/ 1 x))
51.0ms
(/ 1.0 (pow x 5))
38.0ms
(/ 1.0 (pow x 3))
47.0ms
(- (/ 1.0 (pow x 5)) (- (/ 1.0 (pow x 3)) (/ 1 x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05481211
123651169
250021168

prune341.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch52.0ms

Steps
ItersRangePoint
10
4.555257425893614e-05
47183757994.54101
5758.003582251651
6
-513705451564942.06
-128069472595720.98
-491659454900747.94

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample229.0ms

Algorithm
intervals
Results
137.0ms8000×body80valid