Details

Time bar (total: 1.2m)

sample50.0ms

Algorithm
intervals
Results
20.0ms64×body640valid
11.0ms139×body80valid
7.0ms35×body320valid
3.0ms18×body160valid

simplify24.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
24.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize23.0ms

Local error

Found 3 expressions with local error:

2.9b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
72×add-sqr-sqrt
69×times-frac
32×add-cube-cbrt
27×distribute-lft-out--
17×difference-of-squares
11×associate-/r* add-exp-log
10×distribute-lft-out
7×add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×pow1 add-log-exp
4×difference-of-sqr-1 div-exp
3×insert-posit16 flip--
2×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp flip-+ pow-flip inv-pow
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 128
Calls
3 calls:
Slowest
65.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
16.0ms
(/ 1 (+ x 1))
12.0ms
(/ 1 (- x 1))

series101.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
72.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
15.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

simplify5.3s

Counts
153 → 137
Calls
153 calls:
Slowest
445.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
436.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
430.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
271.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
250.0ms
(- (* 1 (- x 1)) (* (+ x 1) 1))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ -2 (* (+ x 1) (- x 1)))
0.0b
(* (+ x 1) (- x 1))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×associate-*r*
6×flip3-+ flip3-- add-cube-cbrt flip-+ flip--
4×pow1 associate-*l* associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod insert-posit16 add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg difference-of-sqr-1 pow-prod-down *-commutative div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
2 → 66
Calls
2 calls:
Slowest
44.0ms
(* (+ x 1) (- x 1))
26.0ms
(/ -2 (* (+ x 1) (- x 1)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
91.0ms
(* (+ x 1) (- x 1))
76.0ms
(/ -2 (* (+ x 1) (- x 1)))

simplify7.7s

Counts
57 → 72
Calls
57 calls:
Slowest
1.0s
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- x 1) (- x 1)) (- x 1)))
568.0ms
(* (+ (pow x 3) (pow 1 3)) (- (pow x 3) (pow 1 3)))
529.0ms
(* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))
511.0ms
(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))
496.0ms
(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))

prune478.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ -2 (+ x 1)) (- x 1))
0.0b
(/ -2 (+ x 1))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
207×*-un-lft-identity
170×add-sqr-sqrt
94×add-cube-cbrt
38×difference-of-squares
28×distribute-lft-out
21×associate-/l*
20×associate-/r/
19×difference-of-sqr-1 distribute-lft-out--
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube add-exp-log flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 203
Calls
2 calls:
Slowest
32.0ms
(/ (/ -2 (+ x 1)) (- x 1))
19.0ms
(/ -2 (+ x 1))

series87.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
72.0ms
(/ (/ -2 (+ x 1)) (- x 1))
15.0ms
(/ -2 (+ x 1))

simplify25.4s

Counts
321 → 209
Calls
321 calls:
Slowest
853.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
435.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
391.0ms
(/ (/ -2 (+ (pow x 3) (pow 1 3))) (sqrt (- x 1)))
385.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
384.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

7.2b
(/ (* (+ x 1) (- (* x x) (* 1 1))) (+ x 1))
0.4b
(/ -2 (/ (* (+ x 1) (- (* x x) (* 1 1))) (+ x 1)))
0.0b
(* (+ x 1) (- (* x x) (* 1 1)))
0.0b
(- (* x x) (* 1 1))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
50×times-frac
41×*-un-lft-identity
29×add-sqr-sqrt
27×add-cube-cbrt
20×add-cbrt-cube add-exp-log
14×associate-/r*
11×flip3-+ associate-/r/ flip-+
8×frac-times associate-/l/
7×cbrt-undiv flip3-- div-exp flip-- distribute-lft-out
6×pow1 div-inv add-log-exp
4×associate-*r* associate-*l* associate-*l/ associate-*r/ insert-posit16 associate-/l*
3×sub-neg prod-exp cbrt-unprod
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in difference-of-squares
1×diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
Slowest
57.0ms
(/ (* (+ x 1) (- (* x x) (* 1 1))) (+ x 1))
42.0ms
(* (+ x 1) (- (* x x) (* 1 1)))
15.0ms
(/ -2 (/ (* (+ x 1) (- (* x x) (* 1 1))) (+ x 1)))
8.0ms
(- (* x x) (* 1 1))

series206.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(- (* x x) (* 1 1))
59.0ms
(/ (* (+ x 1) (- (* x x) (* 1 1))) (+ x 1))
53.0ms
(/ -2 (/ (* (+ x 1) (- (* x x) (* 1 1))) (+ x 1)))
26.0ms
(* (+ x 1) (- (* x x) (* 1 1)))

simplify27.0s

Counts
148 → 154
Calls
148 calls:
Slowest
757.0ms
(/ (* (* -2 -2) -2) (/ (* (* (* (+ x 1) (- (* x x) (* 1 1))) (* (+ x 1) (- (* x x) (* 1 1)))) (* (+ x 1) (- (* x x) (* 1 1)))) (* (* (+ x 1) (+ x 1)) (+ x 1))))
677.0ms
(/ (* (* -2 -2) -2) (/ (* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1))) (- (* x x) (* 1 1)))) (* (* (+ x 1) (+ x 1)) (+ x 1))))
661.0ms
(/ (cbrt -2) (/ (- (* x x) (* 1 1)) (+ x 1)))
618.0ms
(/ (cbrt -2) (/ (- (* x x) (* 1 1)) (+ x 1)))
617.0ms
(/ (sqrt -2) (/ (- (* x x) (* 1 1)) (+ x 1)))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
732.0ms4181×body80valid
717.0ms1892×body640valid
339.0ms1252×body320valid
103.0ms675×body160valid