Details

Time bar (total: 8.1s)

sample68.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
20.0ms213×body80nan

simplify133.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log add-log-exp
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-/r* sum-log times-frac
2×pow1 cbrt-undiv flip3-+ div-exp associate-*r/ associate-/r/ flip-+ insert-posit16 associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg flip3-- prod-exp cbrt-unprod div-inv flip-- associate-/l*
Counts
2 → 40
Calls
2 calls:
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
52.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series144.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
96.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify655.0ms

Counts
46 → 46
Iterations
IterNodes
done2001
21205
1319
0106

prune191.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
7×add-log-exp
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r* sum-log
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16 associate-/l/
1×cbrt-undiv +-commutative associate-+l+ clear-num frac-2neg flip3-- div-sub div-exp div-inv flip--
Counts
2 → 55
Calls
2 calls:
23.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
35.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series137.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
90.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify593.0ms

Counts
61 → 61
Iterations
IterNodes
done2012
21038
1319
0119

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.3b
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
456×times-frac
314×add-sqr-sqrt *-un-lft-identity
234×sqrt-prod
216×add-cube-cbrt
49×distribute-lft-out-- difference-of-squares
41×associate-/l*
18×sqrt-div associate-/r/
14×add-log-exp
12×associate-/r*
11×flip3-+ add-cbrt-cube add-exp-log flip-+
9×div-inv
6×sum-log
4×pow1 cbrt-undiv div-exp insert-posit16
3×div-sub associate-/l/
2×+-commutative associate-+l+ clear-num frac-2neg
1×flip3-- flip--
Counts
4 → 364
Calls
4 calls:
31.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
29.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
94.0ms
(/ (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
52.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series348.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
93.0ms
(/ (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
173.0ms
(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify787.0ms

Counts
376 → 376
Iterations
IterNodes
done2002
1985
0409

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
0.1b
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.6b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
16.2b
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
30×add-cbrt-cube add-exp-log
18×pow-prod-down
13×prod-exp cbrt-unprod
11×add-sqr-sqrt associate-*l*
9×*-un-lft-identity add-cube-cbrt
8×times-frac
6×flip3-- flip-- add-log-exp
4×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in div-exp associate-*r* associate--l+ associate-*r/ associate-/r/ pow-sqr pow-prod-up insert-posit16 difference-of-squares
3×sub-neg
2×frac-times pow-plus *-commutative div-inv associate-/l/
1×pow2 clear-num frac-2neg diff-log swap-sqr associate-*l/ associate-/l* unswap-sqr
Counts
4 → 120
Calls
4 calls:
27.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
222.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
44.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
59.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
139.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
27.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
78.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

simplify476.0ms

Counts
132 → 132
Iterations
IterNodes
done2001
1681
0226

prune483.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.5s

Algorithm
intervals
Results
677.0ms8000×body80valid
651.0ms7964×body80nan