Details

Time bar (total: 1.7s)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) 1.0)
13.8b
(/ x (+ (* x x) 1.0))

rewrite9.0ms

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 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ (* x x) 1.0)
6.0ms
(/ x (+ (* x x) 1.0))

series91.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x x) 1.0)
59.0ms
(/ x (+ (* x x) 1.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0194267
1717245
23053242
35001242

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
0.0b
(/ 1 (sqrt (+ (* x x) 1.0)))
13.8b
(sqrt (+ (* x x) 1.0))
13.8b
(sqrt (+ (* x x) 1.0))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 164
Calls
4 calls:
46.0ms
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
7.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
4.0ms
(sqrt (+ (* x x) 1.0))
4.0ms
(sqrt (+ (* x x) 1.0))

series222.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (/ 1 (sqrt (+ (* x x) 1.0))) (/ x (sqrt (+ (* x x) 1.0))))
75.0ms
(/ 1 (sqrt (+ (* x x) 1.0)))
40.0ms
(sqrt (+ (* x x) 1.0))
47.0ms
(sqrt (+ (* x x) 1.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06251752
131371546
250011414

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (pow x 5))
0.9b
(/ 1 (pow x 3))
20.7b
(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
46×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
17×add-exp-log
12×cube-prod
9×div-exp
8×add-log-exp sqr-pow
7×add-cbrt-cube
6×associate-/l*
4×cube-mult pow-to-exp unpow3 frac-add pow-exp
3×pow1 rec-exp 1-exp
2×cbrt-undiv associate-+l+ frac-2neg clear-num sum-log frac-sub div-inv
1×+-commutative associate-+l- sub-neg flip3-- pow-flip flip3-+ diff-log associate-*r/ un-div-inv flip-- flip-+ distribute-lft-out inv-pow
Counts
3 → 138
Calls
3 calls:
4.0ms
(/ 1.0 (pow x 5))
5.0ms
(/ 1 (pow x 3))
48.0ms
(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

series123.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1.0 (pow x 5))
35.0ms
(/ 1 (pow x 3))
42.0ms
(+ (- (/ 1 x) (* 1.0 (/ 1 (pow x 3)))) (/ 1.0 (pow x 5)))

simplify78.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0488851
12696730
25002722

prune230.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 14.9b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523
13523

end0.0ms

sample220.0ms

Algorithm
intervals
Results
137.0ms8000×body80valid