Details

Time bar (total: 7.6s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ x (+ (* x x) 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
11.0ms
(/ x (+ (* x x) 1.0))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ x (+ (* x x) 1.0))

simplify1.0s

Counts
32 → 32
Iterations
IterNodes
done5000
2783
1183
074

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (pow x 3) x)
2.8b
(/ x (- (* (pow x 3) x) (* 1.0 1.0)))
20.2b
(* (/ x (- (* (pow x 3) x) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
27×associate-*l*
23×*-un-lft-identity add-cube-cbrt
19×times-frac
15×add-exp-log
12×add-cbrt-cube
7×associate-*r*
6×pow1 unswap-sqr
5×prod-exp
4×unpow-prod-down flip3-- cube-prod associate-/r/ flip--
3×associate-/r* cbrt-unprod associate-/l* add-log-exp
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in div-exp associate-*r/ *-commutative div-inv sqr-pow
1×cube-mult pow-to-exp clear-num frac-2neg pow-plus unpow3 pow-prod-down associate-*l/ pow-exp pow-prod-up difference-of-squares
Counts
3 → 105
Calls
3 calls:
11.0ms
(* (pow x 3) x)
12.0ms
(/ x (- (* (pow x 3) x) (* 1.0 1.0)))
115.0ms
(* (/ x (- (* (pow x 3) x) (* 1.0 1.0))) (- (* x x) 1.0))

series371.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* (pow x 3) x)
175.0ms
(/ x (- (* (pow x 3) x) (* 1.0 1.0)))
139.0ms
(* (/ x (- (* (pow x 3) x) (* 1.0 1.0))) (- (* x x) 1.0))

simplify2.0s

Counts
114 → 114
Iterations
IterNodes
done5000
23202
1550
0191

prune493.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ 1.0 (pow x 3)))
0.1b
(/ 1.0 (pow x 3))
0.6b
(/ 1.0 (pow x 5))
19.5b
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

rewrite411.0ms

Algorithm
rewrite-expression-head
Rules
89×add-sqr-sqrt
84×times-frac
70×*-un-lft-identity
45×add-cube-cbrt
27×unpow-prod-down
19×associate-/r*
15×cube-prod difference-of-squares
14×add-exp-log
11×add-log-exp sqr-pow
8×add-cbrt-cube
6×div-exp associate-/l* distribute-lft-out--
4×cube-mult pow1 unpow3 div-inv distribute-lft-out
3×frac-add
2×pow-to-exp cbrt-undiv associate-+l+ clear-num sum-log sub-neg frac-2neg flip3-- diff-log pow-exp frac-sub flip--
1×+-commutative flip3-+ associate-+l- flip-+
Counts
4 → 163
Calls
4 calls:
50.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
9.0ms
(/ 1.0 (pow x 3))
12.0ms
(/ 1.0 (pow x 5))
331.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
56.0ms
(/ 1.0 (pow x 3))
88.0ms
(/ 1.0 (pow x 5))
51.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

simplify1.2s

Counts
175 → 175
Iterations
IterNodes
done5000
22567
1553
0251

prune703.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.4b

bsearch92.0ms

Steps
ItersRangePoint
9
0.030359728269424062
9645967.64350026
474.5306634629979
7
-5.833600422647533e+27
-5.5927196585071505e+25
-5.442929637181724e+27

simplify7.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample546.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid