Details

Time bar (total: 5.3s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune1.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
13.0ms
(/ x (+ (* x x) 1.0))

series55.0ms

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

simplify1.8s

Counts
32 → 32
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
074428
1167413
2438373
31017373
42805373
done5000373

prune58.0ms

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))

rewrite88.0ms

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:
16.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
68.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

series428.0ms

Counts
2 → 6
Calls
2 calls:
322.0ms
(/ x (- (pow x 4) (* 1.0 1.0)))
106.0ms
(* (/ x (- (pow x 4) (* 1.0 1.0))) (- (* x x) 1.0))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01991803
14921731
215621573
done50001369

prune204.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
94×times-frac
54×*-un-lft-identity
46×add-cube-cbrt
33×unpow-prod-down
20×difference-of-squares
19×associate-/r*
17×sqr-pow
16×cube-prod
13×add-exp-log
7×add-cbrt-cube
6×div-exp associate-/l*
5×distribute-lft-out-- add-log-exp
4×cube-mult unpow3 div-inv
3×pow1
2×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 148
Calls
3 calls:
7.0ms
(/ 1.0 (pow x 5))
8.0ms
(/ 1.0 (pow x 3))
75.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1.0 (pow x 5))
39.0ms
(/ 1.0 (pow x 3))
127.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify669.0ms

Counts
157 → 157
Iterations

Useful iterations: done (664.0ms)

IterNodesCost
02222185
14251927
211051875
done50001873

prune305.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

100% (0.0b remaining)

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

bsearch63.0ms

Steps
ItersRangePoint
10
0.0001820196720056695
1126179.5725289274
483.72355010182383
9
-76786.820650899
-0.0002772006047103471
-525.1650773382437

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02653
13339
done3339

end0.0ms

sample242.0ms

Algorithm
intervals
Results
131.0ms8000×body80valid