Details

Time bar (total: 5.2m)

sample50.0ms

Algorithm
intervals
Results
18.0ms53×body1280valid
10.0ms39×body640valid
9.0ms132×body80valid
4.0ms21×body320valid
1.0ms11×body160valid

simplify96.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
96.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize12.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b
(/ x (+ x 1))
0.0b
(/ (+ x 1) (- x 1))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
1284×*-un-lft-identity
984×times-frac
841×add-sqr-sqrt
612×prod-diff
521×add-cube-cbrt
251×distribute-lft-out
158×difference-of-squares
110×associate-/r/
90×distribute-lft-out--
77×difference-of-sqr-1
55×div-inv
37×flip3-+ flip-+
20×flip3-- flip--
18×fma-neg
11×associate-/r*
7×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 753
Calls
3 calls:
Slowest
81.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
38.0ms
(/ (+ x 1) (- x 1))
15.0ms
(/ x (+ x 1))

series517.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
350.0ms
(/ (+ x 1) (- x 1))
136.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
31.0ms
(/ x (+ x 1))

simplify5.0m

Counts
1382 → 762
Calls
1382 calls:
Slowest
822.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
800.0ms
(fma (/ (sqrt x) (sqrt (+ x 1))) (/ (sqrt x) (sqrt (+ x 1))) (- (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1))))))
784.0ms
(fma (/ (sqrt x) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt x) (cbrt (+ x 1))) (- (* (/ (sqrt (+ x 1)) (- (sqrt x) (sqrt 1))) (/ (sqrt (+ x 1)) (+ (sqrt x) (sqrt 1))))))
783.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
780.0ms
(fma (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x 1)) (- (* (/ (+ x 1) (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1)))))

prune4.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

29.6b
(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
4.6b
(/ x (fma x (* x x) 1))
0.0b
(fma x (* x x) 1)
0.0b
(+ (* x x) (- (* 1 1) (* x 1)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac add-log-exp
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×associate-+r+ associate-/r* associate-/l*
2×sum-log fma-udef
1×cbrt-undiv +-commutative clear-num associate-+r- sub-neg fma-def frac-2neg flip3-+ diff-log div-exp prod-diff flip-+ div-inv
Counts
4 → 72
Calls
4 calls:
Slowest
21.0ms
(+ (* x x) (- (* 1 1) (* x 1)))
4.0ms
(/ x (fma x (* x x) 1))
0.0ms
(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
0.0ms
(fma x (* x x) 1)

series291.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
116.0ms
(fma (/ x (fma x (* x x) 1)) (+ (* x x) (- (* 1 1) (* x 1))) (- (/ (+ x 1) (- x 1))))
84.0ms
(/ x (fma x (* x x) 1))
75.0ms
(fma x (* x x) 1)
16.0ms
(+ (* x x) (- (* 1 1) (* x 1)))

simplify2.1s

Counts
43 → 84
Calls
43 calls:
Slowest
210.0ms
(- (+ (/ 1 (pow x 8)) (/ 1 (pow x 2))) (/ 1 (pow x 5)))
205.0ms
(- (+ (/ 1 (pow x 8)) (/ 1 (pow x 2))) (/ 1 (pow x 5)))
167.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
167.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
142.0ms
(/ (* (* x x) x) (* (* (fma x (* x x) 1) (fma x (* x x) 1)) (fma x (* x x) 1)))

prune559.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

8.4b
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (/ -1 (* x x)))
0.5b
(/ -1 (* x x))
0.1b
(/ (/ -1 x) (* x x))
0.0b
(+ (/ -1 x) (/ (/ -1 x) (* x x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
29×*-un-lft-identity
27×add-sqr-sqrt add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/l*
13×fma-def
8×cbrt-undiv div-exp
6×add-log-exp
5×div-inv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×prod-exp cbrt-unprod
2×clear-num associate-/r* frac-2neg
1×+-commutative sum-log flip3-+ frac-add flip-+ fma-udef distribute-lft-out associate-/l/
Counts
4 → 113
Calls
4 calls:
Slowest
14.0ms
(+ (/ -1 x) (/ (/ -1 x) (* x x)))
13.0ms
(/ (/ -1 x) (* x x))
6.0ms
(/ -1 (* x x))
0.0ms
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (/ -1 (* x x)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
53.0ms
(+ (/ -1 x) (/ (/ -1 x) (* x x)))
33.0ms
(/ (/ -1 x) (* x x))
31.0ms
(/ -1 (* x x))
29.0ms
(fma 3 (+ (/ -1 x) (/ (/ -1 x) (* x x))) (/ -1 (* x x)))

simplify2.9s

Counts
84 → 125
Calls
84 calls:
Slowest
280.0ms
(/ (* (* -1 -1) -1) (* (* (* x x) x) (* (* x x) x)))
243.0ms
(/ (* (* -1 -1) -1) (* (* (* x x) (* x x)) (* x x)))
171.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
170.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
170.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))

prune593.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.1b

regimes51.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 29.2b

bsearch116.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
694.0ms1646×body1280valid
291.0ms1226×body640valid
277.0ms4215×body80valid
130.0ms633×body320valid
27.0ms280×body160valid