Details

Time bar (total: 1.4m)

sample44.0ms

Algorithm
intervals
Results
17.0ms66×body640valid
8.0ms140×body80valid
6.0ms33×body320valid
2.0ms17×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: 13.6b

localize25.0ms

Local error

Found 2 expressions with local error:

2.2b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
48×times-frac
43×add-sqr-sqrt
23×distribute-lft-out--
19×add-cube-cbrt
10×distribute-lft-out
9×difference-of-squares
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube associate-/r/ add-log-exp
3×pow1 associate-/l*
2×div-exp flip-+ insert-posit16 flip--
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub pow-flip inv-pow
Counts
2 → 78
Calls
2 calls:
Slowest
81.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
8.0ms
(/ 1 (+ x 1))

series97.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
83.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (+ x 1))

simplify3.6s

Counts
93 → 84
Calls
93 calls:
Slowest
501.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
350.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
349.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
293.0ms
(- (* 1 (- x 1)) (* (+ x 1) 1))
278.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune620.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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
33.0ms
(/ 1 (- (* x x) 1))
32.0ms
(* (/ 1 (- (* x x) 1)) -2)

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(* (/ 1 (- (* x x) 1)) -2)
34.0ms
(/ 1 (- (* x x) 1))

simplify8.4s

Counts
94 → 99
Calls
94 calls:
Slowest
476.0ms
(* (/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1))) (* (* -2 -2) -2))
456.0ms
(* (* (* (/ 1 (- (* x x) 1)) (/ 1 (- (* x x) 1))) (/ 1 (- (* x x) 1))) (* (* -2 -2) -2))
407.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
381.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
331.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))

prune617.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite104.0ms

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
57.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
17.0ms
(/ (/ 1 (+ x 1)) (- x 1))
15.0ms
(/ 1 (+ x 1))

series168.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
64.0ms
(/ (/ 1 (+ x 1)) (- x 1))
28.0ms
(/ 1 (+ x 1))

simplify37.0s

Counts
479 → 376
Calls
479 calls:
Slowest
867.0ms
(* (* (* (/ (/ 1 (+ x 1)) (- x 1)) (/ (/ 1 (+ x 1)) (- x 1))) (/ (/ 1 (+ x 1)) (- x 1))) (* (* -2 -2) -2))
560.0ms
(/ (/ 1 (+ x 1)) (- (sqrt x) 1))
551.0ms
(/ (/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
466.0ms
(/ (/ 1 (+ x 1)) (- (* x x) (* 1 1)))
430.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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))
7.0ms
(/ -2 (+ x 1))

series95.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
71.0ms
(/ (/ -2 (+ x 1)) (- x 1))
24.0ms
(/ -2 (+ x 1))

simplify25.0s

Counts
321 → 209
Calls
321 calls:
Slowest
568.0ms
(/ (/ -2 (+ x 1)) (- (sqrt x) 1))
531.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
444.0ms
(/ (/ (* (cbrt -2) (cbrt -2)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))
420.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
416.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
660.0ms1949×body640valid
355.0ms4138×body80valid
324.0ms1278×body320valid
123.0ms635×body160valid