Details

Time bar (total: 1.4m)

sample34.0ms

Algorithm
intervals
Results
14.0ms78×body640valid
6.0ms118×body80valid
6.0ms40×body320valid
2.0ms20×body160valid

simplify20.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize12.0ms

Local error

Found 3 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite81.0ms

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
45.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
20.0ms
(/ 1 (+ x 1))
14.0ms
(/ 1 (- x 1))

series89.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
58.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
16.0ms
(/ 1 (+ x 1))
15.0ms
(/ 1 (- x 1))

simplify5.2s

Counts
153 → 137
Calls
153 calls:
Slowest
431.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
422.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
342.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
274.0ms
(- (* 1 (- x 1)) (* (+ x 1) 1))
226.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))

prune916.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt times-frac
32×*-un-lft-identity
24×associate-*l* add-cube-cbrt
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×difference-of-sqr-1
6×associate-/r*
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-*r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod insert-posit16 div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
2 → 93
Calls
2 calls:
Slowest
58.0ms
(* (/ 1 (- (* x x) 1)) -2)
26.0ms
(/ 1 (- (* x x) 1))

series106.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(* (/ 1 (- (* x x) 1)) -2)
50.0ms
(/ 1 (- (* x x) 1))

simplify8.7s

Counts
94 → 99
Calls
94 calls:
Slowest
562.0ms
(* (/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1))) (* (* -2 -2) -2))
480.0ms
(* (* (* (/ 1 (- (* x x) 1)) (/ 1 (- (* x x) 1))) (/ 1 (- (* x x) 1))) (* (* -2 -2) -2))
432.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
418.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
356.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))

prune699.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
381×*-un-lft-identity
331×add-sqr-sqrt
171×add-cube-cbrt
132×associate-*l*
74×difference-of-squares
49×distribute-lft-out
37×difference-of-sqr-1 distribute-lft-out--
36×associate-/r/
31×add-exp-log
21×associate-/l*
19×add-cbrt-cube
18×div-inv
16×flip3-+ flip-+
14×div-exp
11×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×rec-exp 1-exp associate-*r* cbrt-unprod insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 367
Calls
3 calls:
Slowest
43.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
33.0ms
(/ (/ 1 (+ x 1)) (- x 1))
15.0ms
(/ 1 (+ x 1))

series140.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(/ (/ 1 (+ x 1)) (- x 1))
51.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
25.0ms
(/ 1 (+ x 1))

simplify37.9s

Counts
479 → 376
Calls
479 calls:
Slowest
929.0ms
(* (* (* (/ (/ 1 (+ x 1)) (- x 1)) (/ (/ 1 (+ x 1)) (- x 1))) (/ (/ 1 (+ x 1)) (- x 1))) (* (* -2 -2) -2))
784.0ms
(/ (/ 1 (- (* x x) (* 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))
597.0ms
(/ (/ 1 (+ x 1)) (- (* x x) (* 1 1)))
536.0ms
(/ (/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
450.0ms
(/ (/ 1 (- (* x x) (* 1 1))) (+ (sqrt x) 1))

prune2.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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
19.0ms
(/ (/ -2 (+ x 1)) (- x 1))
13.0ms
(/ -2 (+ x 1))

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
67.0ms
(/ (/ -2 (+ x 1)) (- x 1))
23.0ms
(/ -2 (+ x 1))

simplify25.6s

Counts
321 → 209
Calls
321 calls:
Slowest
583.0ms
(/ (/ -2 (+ x 1)) (- (sqrt x) 1))
467.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
446.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))
434.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
419.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
565.0ms1925×body640valid
436.0ms4182×body80valid
297.0ms1245×body320valid
82.0ms648×body160valid