Details

Time bar (total: 5.5m)

sample74.0ms

Algorithm
intervals
Results
26.0ms54×body1280valid
16.0ms40×body640valid
13.0ms130×body80valid
6.0ms20×body320valid
2.0ms12×body160valid

simplify84.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
84.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize13.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
0.0b
(/ (+ x 1) (- x 1))
0.0b
(/ x (+ x 1))

rewrite132.0ms

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
61.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
18.0ms
(/ (+ x 1) (- x 1))
10.0ms
(/ x (+ x 1))

series217.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
137.0ms
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))
40.0ms
(/ x (+ x 1))
40.0ms
(/ (+ x 1) (- x 1))

simplify5.2m

Counts
1382 → 762
Calls
1382 calls:
Slowest
1.1s
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
893.0ms
(fma (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x 1)) (- (* (/ (cbrt (+ x 1)) (sqrt (- x 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1))))))
844.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
831.0ms
(fma (- (+ x 1)) (/ (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (/ (+ x 1) (- (* x x) (* 1 1)))))
813.0ms
(fma (/ (sqrt x) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt x) (cbrt (+ x 1))) (- (* (/ (+ x 1) (cbrt (- x 1))) (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))))))

prune4.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

29.9b
(fma x (/ 1 (+ x 1)) (- (* (/ 1 (- x 1)) (+ x 1))))
0.1b
(* (/ 1 (- x 1)) (+ x 1))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
69×*-un-lft-identity
56×times-frac
37×add-cube-cbrt
27×associate-*l*
21×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
11×associate-/r*
8×pow1
7×difference-of-sqr-1 distribute-lft-out--
6×div-exp associate-/r/ associate-/l*
5×distribute-lft-out
4×expm1-log1p-u associate-*r* prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp flip3-+ 1-exp flip-+ div-inv unswap-sqr
2×frac-times clear-num frac-2neg flip3-- associate-*r/ cbrt-unprod pow-flip flip-- inv-pow
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 162
Calls
4 calls:
Slowest
28.0ms
(* (/ 1 (- x 1)) (+ x 1))
13.0ms
(/ 1 (- x 1))
8.0ms
(/ 1 (+ x 1))
0.0ms
(fma x (/ 1 (+ x 1)) (- (* (/ 1 (- x 1)) (+ x 1))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
78.0ms
(fma x (/ 1 (+ x 1)) (- (* (/ 1 (- x 1)) (+ x 1))))
23.0ms
(* (/ 1 (- x 1)) (+ x 1))
14.0ms
(/ 1 (- x 1))
13.0ms
(/ 1 (+ x 1))

simplify4.7s

Counts
156 → 174
Calls
156 calls:
Slowest
747.0ms
(* (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))) (* (* (+ x 1) (+ x 1)) (+ x 1)))
220.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
197.0ms
(- (+ (* 2 x) (+ (* 2 (pow x 2)) 1)))
191.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))
182.0ms
(- (+ (* 3 (/ 1 (pow x 3))) (+ (/ 1 (pow x 2)) (* 3 (/ 1 x)))))

prune991.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

29.9b
(fma x (/ 1 (+ x 1)) (- (cbrt (* (* (* (/ 1 (- x 1)) (+ x 1)) (* (/ 1 (- x 1)) (+ x 1))) (* (/ 1 (- x 1)) (+ x 1))))))
0.1b
(* (/ 1 (- x 1)) (+ x 1))
0.1b
(* (/ 1 (- x 1)) (+ x 1))
0.1b
(* (/ 1 (- x 1)) (+ x 1))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
81×associate-*l*
76×*-un-lft-identity
69×times-frac
40×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×difference-of-squares
12×associate-*r* prod-exp
10×pow1
9×difference-of-sqr-1 distribute-lft-out-- unswap-sqr
6×frac-times flip3-+ div-exp associate-*r/ associate-/r/ cbrt-unprod flip-+
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in cbrt-undiv rec-exp distribute-lft-in flip3-- 1-exp pow-prod-down associate-*l/ *-commutative div-inv flip-- distribute-lft-out
1×fma-udef
Counts
4 → 188
Calls
4 calls:
Slowest
32.0ms
(* (/ 1 (- x 1)) (+ x 1))
28.0ms
(* (/ 1 (- x 1)) (+ x 1))
28.0ms
(* (/ 1 (- x 1)) (+ x 1))
0.0ms
(fma x (/ 1 (+ x 1)) (- (cbrt (* (* (* (/ 1 (- x 1)) (+ x 1)) (* (/ 1 (- x 1)) (+ x 1))) (* (/ 1 (- x 1)) (+ x 1))))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
102.0ms
(fma x (/ 1 (+ x 1)) (- (cbrt (* (* (* (/ 1 (- x 1)) (+ x 1)) (* (/ 1 (- x 1)) (+ x 1))) (* (/ 1 (- x 1)) (+ x 1))))))
24.0ms
(* (/ 1 (- x 1)) (+ x 1))
24.0ms
(* (/ 1 (- x 1)) (+ x 1))
24.0ms
(* (/ 1 (- x 1)) (+ x 1))

simplify7.6s

Counts
165 → 200
Calls
165 calls:
Slowest
760.0ms
(* (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))) (* (* (+ x 1) (+ x 1)) (+ x 1)))
758.0ms
(* (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))) (* (* (+ x 1) (+ x 1)) (+ x 1)))
758.0ms
(* (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))) (* (* (+ x 1) (+ x 1)) (+ x 1)))
387.0ms
(- (+ (cbrt -1) (+ (* 2 (/ (cbrt -1) x)) (+ (* 2 (/ (cbrt -1) (pow x 2))) (+ (/ 1 (pow x 2)) 1)))) (/ 1 x))
196.0ms
(- (+ (* 2 x) (+ (* 2 (pow x 2)) 1)))

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

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

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes29.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 30.0b

bsearch123.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
582.0ms1732×body1280valid
291.0ms1239×body640valid
235.0ms4072×body80valid
118.0ms646×body320valid
56.0ms311×body160valid