Details

Time bar (total: 7.5s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
176
done76

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize4.0ms

Local error

Found 1 expressions with local error:

15.1b
(/ 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:
14.0ms
(/ x (+ (* x x) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ x (+ (* x x) 1.0))

simplify1.7s

Counts
34 → 34
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
076444
1173384
2462350
31120350
43306350
done5000350

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

2.8b
(/ x (- (pow x 4) (* 1.0 1.0)))
20.3b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
37×times-frac
26×add-cube-cbrt *-un-lft-identity
24×associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×prod-diff associate-/r*
5×distribute-rgt-in distribute-lft-in
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 103
Calls
2 calls:
17.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
70.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series216.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
96.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify1.2s

Counts
109 → 109
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02312101
15661956
217191793
done50001507

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ 1.0 (pow x 3)))
0.2b
(/ 1.0 (pow x 5))
0.3b
(/ 1.0 (pow x 3))
19.8b
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
1770×times-frac
1242×add-sqr-sqrt
1223×*-un-lft-identity
1198×add-cube-cbrt
1040×prod-diff
522×associate-+r+
270×unpow-prod-down
249×cube-prod
112×div-inv
92×sqr-pow
82×cube-mult unpow3
25×fma-def
19×associate-/r*
15×difference-of-squares
14×add-exp-log
13×fma-neg
11×add-log-exp
8×add-cbrt-cube
6×div-exp associate-/l* distribute-lft-out--
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out
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 → 1249
Calls
4 calls:
64.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
11.0ms
(/ 1.0 (pow x 5))
8.0ms
(/ 1.0 (pow x 3))
207.0ms
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
46.0ms
(/ 1.0 (pow x 5))
40.0ms
(/ 1.0 (pow x 3))
43.0ms
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

simplify1.9s

Counts
1261 → 1261
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0113749036
1223639328
2420726383
done500026381

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.2b

bsearch56.0ms

Steps
ItersRangePoint
10
0.0001820196720056695
1126179.5725289274
1516.0393694528836
9
-76786.820650899
-0.0002772006047103471
-525.1650773382437

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02653
13339
done3339

end0.0ms

sample238.0ms

Algorithm
intervals
Results
124.0ms8000×body80valid