Details

Time bar (total: 7.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
173

prune1.0ms

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))

rewrite14.0ms

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 expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
13.0ms
(/ x (+ (* x x) 1.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ x (+ (* x x) 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.1b
(/ x (fma (- 1.0) 1.0 (pow x 4)))
23.3b
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
9×add-exp-log add-cbrt-cube
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 associate-*r*
3×associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
43.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series268.0ms

Counts
2 → 6
Calls
2 calls:
157.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
110.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0446816
12125716
25001706

prune187.0ms

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 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.1b
(/ 1.0 (pow x 3))
0.2b
(/ 1.0 (pow x 5))
19.9b
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite698.0ms

Algorithm
rewrite-expression-head
Rules
3607×times-frac
2350×add-sqr-sqrt
2310×*-un-lft-identity
2288×add-cube-cbrt
2000×prod-diff
1212×unpow-prod-down
1002×associate-+r+
466×cube-prod
410×sqr-pow
154×cube-mult unpow3
138×div-inv
25×fma-neg
20×difference-of-squares
19×associate-/r*
14×add-exp-log
13×fma-def
11×add-log-exp
8×add-cbrt-cube distribute-lft-out--
6×div-exp associate-/l*
5×distribute-lft-out
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-add
2×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 2217
Calls
4 calls:
306.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
9.0ms
(/ 1.0 (pow x 3))
7.0ms
(/ 1.0 (pow x 5))
114.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
41.0ms
(/ 1.0 (pow x 3))
44.0ms
(/ 1.0 (pow x 5))
128.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify460.0ms

Algorithm
egg-herbie
Counts
2229 → 2229
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0409048855
1500242336

prune4.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch48.0ms

Steps
ItersRangePoint
8
3974.013529084827
227507829.52260175
14991943.206268162
9
-70725786023593.1
-28256763.0897718
-34917646116603.27

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample265.0ms

Algorithm
intervals
Results
140.0ms8000×body80valid