Details

Time bar (total: 2.6s)

sample15.0ms

Algorithm
intervals
Results
9.0ms256×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: 15.0b

localize4.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ 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 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:
6.0ms
(/ x (+ (* x x) 1.0))

series61.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
2.5b
(/ x (fma (- 1.0) 1.0 (pow x 4)))
19.8b
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
10×add-exp-log add-cbrt-cube
9×prod-diff
5×pow1 distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r*
3×expm1-log1p-u sub-neg flip3-- associate-/r* flip-- log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv difference-of-squares unswap-sqr
1×frac-2neg fma-neg diff-log pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 97
Calls
3 calls:
3.0ms
(- (* x x) 1.0)
2.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
17.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series315.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x x) 1.0)
162.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
114.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0466911
12239786
25001777

prune232.0ms

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
(fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x))
0.1b
(/ 1 (pow x 5))
0.2b
(/ 1 (pow x 3))
17.7b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
1934×times-frac
1320×add-sqr-sqrt
1236×*-un-lft-identity
1171×add-cube-cbrt
1000×prod-diff
650×unpow-prod-down
251×cube-prod
238×sqr-pow
79×cube-mult unpow3
72×div-inv
63×difference-of-squares
25×fma-neg
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv pow-flip frac-2neg clear-num inv-pow
1×sub-neg flip3-- diff-log frac-sub flip-- fma-udef
Counts
4 → 1250
Calls
4 calls:
0.0ms
(fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x))
4.0ms
(/ 1 (pow x 5))
4.0ms
(/ 1 (pow x 3))
84.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3))) (/ 1 x))
48.0ms
(/ 1 (pow x 5))
31.0ms
(/ 1 (pow x 3))
105.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify275.0ms

Algorithm
egg-herbie
Counts
1262 → 1262
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
0241131677
1500218173

prune477.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

100% (0.0b remaining)

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

bsearch60.0ms

Steps
ItersRangePoint
8
5702493.407928515
2459628494.129172
8077604.244498882
8
-203252004905.3082
-26072244.925359383
-76798468.31292221

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample399.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid