Details

Time bar (total: 2.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize10.0ms

Local error

Found 1 expressions with local error:

15.8b
(/ x (+ (* x x) 1.0))

rewrite16.0ms

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

series99.0ms

Counts
1 → 3
Calls
1 calls:
99.0ms
(/ x (+ (* x x) 1.0))

simplify120.0ms

Counts
32 → 32

prune97.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))))
0.0b
(/ 1 (pow x 5))
0.1b
(/ 1 (pow x 3))
21.5b
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
196×add-sqr-sqrt
173×times-frac
112×*-un-lft-identity
63×difference-of-squares
56×unpow-prod-down
47×add-cube-cbrt
40×sqr-pow
26×cube-prod
22×add-exp-log
19×associate-/r*
12×div-exp
8×add-cbrt-cube add-log-exp
7×distribute-lft-out--
6×pow-to-exp rec-exp 1-exp pow-exp div-inv associate-/l*
4×pow1 cube-mult associate-+r+ unpow3
3×sub-neg associate-*r/ frac-add
2×cbrt-undiv distribute-rgt-in flip3-- pow-flip frac-2neg distribute-lft-in clear-num frac-sub flip-- inv-pow
1×+-commutative flip3-+ diff-log sum-log flip-+
Counts
4 → 227
Calls
4 calls:
58.0ms
(+ (/ 1 x) (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))))
16.0ms
(/ 1 (pow x 5))
21.0ms
(/ 1 (pow x 3))
159.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (/ 1 x) (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))))
76.0ms
(/ 1 (pow x 5))
43.0ms
(/ 1 (pow x 3))
133.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))

simplify76.0ms

Counts
239 → 239

prune640.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch98.0ms

Steps
ItersRangePoint
9
4.45864614599283
384900706.45945185
1818.9856099704757
11
-2.526251423771835e+75
-8.875265822373592e+51
-1.1865285256886852e+63

simplify47.0ms

end0.0ms

sample563.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid