Details

Time bar (total: 8.4s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize8.0ms

Local error

Found 1 expressions with local error:

16.0b
(/ x (+ (* x x) 1.0))

rewrite28.0ms

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:
26.0ms
(/ x (+ (* x x) 1.0))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ x (+ (* x x) 1.0))

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
074428
1167413
2438373
31017373
42805373
done5000373

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

2.3b
(/ x (- (pow x 4) (* 1.0 1.0)))
20.9b
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×times-frac
24×add-cube-cbrt *-un-lft-identity associate-*l*
22×difference-of-squares
9×add-exp-log add-cbrt-cube
7×unpow-prod-down sqr-pow
6×associate-/r*
4×pow1 flip3-- associate-*r* associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 93
Calls
2 calls:
19.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
138.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series320.0ms

Counts
2 → 6
Calls
2 calls:
193.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
127.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01991803
14921731
215621573
done50001369

prune367.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (/ 1.0 (pow x 5)))
0.1b
(/ 1.0 (pow x 3))
0.2b
(/ 1.0 (pow x 5))
18.1b
(- (+ (/ 1 x) (/ 1.0 (pow x 5))) (/ 1.0 (pow x 3)))

rewrite574.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
65×*-un-lft-identity
58×add-sqr-sqrt
45×add-cube-cbrt
25×unpow-prod-down
19×associate-/r*
14×add-exp-log
13×cube-prod
11×add-log-exp
9×sqr-pow
8×add-cbrt-cube
6×div-exp distribute-lft-out associate-/l*
5×difference-of-squares
4×pow1 cube-mult unpow3 div-inv distribute-lft-out--
3×frac-sub
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log frac-add pow-exp clear-num sum-log flip-+
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 151
Calls
4 calls:
70.0ms
(+ (/ 1 x) (/ 1.0 (pow x 5)))
17.0ms
(/ 1.0 (pow x 3))
12.0ms
(/ 1.0 (pow x 5))
462.0ms
(- (+ (/ 1 x) (/ 1.0 (pow x 5))) (/ 1.0 (pow x 3)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(+ (/ 1 x) (/ 1.0 (pow x 5)))
55.0ms
(/ 1.0 (pow x 3))
64.0ms
(/ 1.0 (pow x 5))
81.0ms
(- (+ (/ 1 x) (/ 1.0 (pow x 5))) (/ 1.0 (pow x 3)))

simplify1.1s

Counts
163 → 163
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02292276
14722013
215011931
done50001915

prune439.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.3b

bsearch105.0ms

Steps
ItersRangePoint
9
110.15968793260775
1173724448.4928873
1795596.1856781375
8
-3231.0590912120524
-0.1517943218839364
-1289.3783119059435

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02653
13339
done3339

end0.0ms

sample350.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid