Details

Time bar (total: 1.4m)

sample75.0ms

Algorithm
intervals
Results
27.0ms70×body640valid
19.0ms38×body320valid
12.0ms124×body80valid
5.0ms24×body160valid

simplify25.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
25.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize17.0ms

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))

rewrite76.0ms

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
52.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
13.0ms
(/ 1 (- x 1))
9.0ms
(/ 1 (+ x 1))

series120.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
24.0ms
(/ 1 (+ x 1))
15.0ms
(/ 1 (- x 1))

simplify5.3s

Counts
153 → 137
Calls
153 calls:
Slowest
459.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
421.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
400.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
249.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
242.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))

prune866.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- (* x x) 1))
0.0b
(* (/ 1 (- (* x x) 1)) -2)

rewrite77.0ms

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
49.0ms
(* (/ 1 (- (* x x) 1)) -2)
27.0ms
(/ 1 (- (* x x) 1))

series95.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(* (/ 1 (- (* x x) 1)) -2)
47.0ms
(/ 1 (- (* x x) 1))

simplify8.6s

Counts
94 → 99
Calls
94 calls:
Slowest
565.0ms
(* (/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1))) (* (* -2 -2) -2))
423.0ms
(* (* (* (/ 1 (- (* x x) 1)) (/ 1 (- (* x x) 1))) (/ 1 (- (* x x) 1))) (* (* -2 -2) -2))
423.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
383.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))
340.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune650.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

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
40.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
24.0ms
(/ (/ 1 (+ x 1)) (- x 1))
11.0ms
(/ 1 (+ x 1))

series127.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
58.0ms
(/ (/ 1 (+ x 1)) (- x 1))
55.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
14.0ms
(/ 1 (+ x 1))

simplify37.6s

Counts
479 → 376
Calls
479 calls:
Slowest
855.0ms
(* (* (* (/ (/ 1 (+ x 1)) (- x 1)) (/ (/ 1 (+ x 1)) (- x 1))) (/ (/ 1 (+ x 1)) (- x 1))) (* (* -2 -2) -2))
803.0ms
(/ (/ 1 (- (* x x) (* 1 1))) (+ (sqrt x) (sqrt 1)))
627.0ms
(/ (/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
585.0ms
(/ (/ 1 (+ x 1)) (- (* x x) (* 1 1)))
523.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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))
14.0ms
(/ -2 (+ x 1))

series109.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
84.0ms
(/ (/ -2 (+ x 1)) (- x 1))
25.0ms
(/ -2 (+ x 1))

simplify25.8s

Counts
321 → 209
Calls
321 calls:
Slowest
554.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
503.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
470.0ms
(/ (/ -2 (+ x 1)) (- x 1))
437.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
436.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
638.0ms1951×body640valid
439.0ms4176×body80valid
275.0ms1217×body320valid
192.0ms656×body160valid