Details

Time bar (total: 1.2m)

sample55.0ms

Algorithm
intervals
Results
23.0ms68×body640valid
12.0ms140×body80valid
8.0ms32×body320valid
3.0ms16×body160valid

simplify32.0ms

Calls
1 calls:
Slowest
32.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize14.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite109.0ms

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
Calls
3 calls:
Slowest
73.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
21.0ms
(/ 1 (- x 1))
13.0ms
(/ 1 (+ x 1))

series107.0ms

Calls
3 calls:
Slowest
61.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
23.0ms
(/ 1 (- x 1))
22.0ms
(/ 1 (+ x 1))

simplify5.7s

Calls
153 calls:
Slowest
511.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
438.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
404.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
288.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
260.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune982.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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
Calls
2 calls:
Slowest
44.0ms
(* (/ 1 (- (* x x) 1)) -2)
20.0ms
(/ 1 (- (* x x) 1))

series96.0ms

Calls
2 calls:
Slowest
56.0ms
(* (/ 1 (- (* x x) 1)) -2)
39.0ms
(/ 1 (- (* x x) 1))

simplify10.1s

Calls
94 calls:
Slowest
688.0ms
(* (/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1))) (* (* -2 -2) -2))
486.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
484.0ms
(* (* (* (/ 1 (- (* x x) 1)) (/ 1 (- (* x x) 1))) (/ 1 (- (* x x) 1))) (* (* -2 -2) -2))
466.0ms
(* (/ (sqrt 1) (sqrt (- (* x x) 1))) (sqrt -2))
445.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune685.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

23.3b
(* (/ 1 (- (* (* x x) (* x x)) 1)) (* (+ (* x x) 1) -2))
0.2b
(/ 1 (- (* (* x x) (* x x)) 1))
0.1b
(* (* x x) (* x x))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
120×pow1
41×add-exp-log
36×times-frac pow-prod-up
31×add-sqr-sqrt *-un-lft-identity
29×add-cbrt-cube
26×pow-prod-down
25×associate-*l*
24×add-cube-cbrt
22×pow-sqr
20×prod-exp
18×pow-plus
14×cbrt-unprod difference-of-squares
13×pow2
7×difference-of-sqr-1
6×associate-/r* div-exp
5×associate-*l/
4×associate-/r/
3×cbrt-undiv rec-exp 1-exp insert-posit16 associate-/l* add-log-exp
2×frac-times flip3-+ flip3-- associate-*r* associate-*r/ *-commutative flip-+ div-inv flip--
1×clear-num frac-2neg swap-sqr pow-flip inv-pow unswap-sqr
Calls
3 calls:
Slowest
220.0ms
(* (/ 1 (- (* (* x x) (* x x)) 1)) (* (+ (* x x) 1) -2))
99.0ms
(/ 1 (- (* (* x x) (* x x)) 1))
47.0ms
(* (* x x) (* x x))

series249.0ms

Calls
3 calls:
Slowest
103.0ms
(/ 1 (- (* (* x x) (* x x)) 1))
84.0ms
(* (/ 1 (- (* (* x x) (* x x)) 1)) (* (+ (* x x) 1) -2))
61.0ms
(* (* x x) (* x x))

simplify28.0s

Calls
169 calls:
Slowest
943.0ms
(sqrt (- (* (* x x) (* x x)) 1))
687.0ms
(/ (sqrt 1) (sqrt (- (* (* x x) (* x x)) 1)))
677.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 12)) (/ 1 (pow x 8))))
649.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 12)) (/ 1 (pow x 8))))
634.0ms
(/ (cbrt 1) (cbrt (- (* (* x x) (* x x)) 1)))

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

23.3b
(* (/ 1 (- (pow x 4) 1)) (* (+ (* x x) 1) -2))
0.2b
(/ 1 (- (pow x 4) 1))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
78×times-frac
72×*-un-lft-identity
45×associate-*l*
42×difference-of-squares
37×add-cube-cbrt
28×add-exp-log
21×unpow-prod-down difference-of-sqr-1 sqr-pow
16×add-cbrt-cube
13×associate-/r*
12×prod-exp
8×pow1
7×distribute-lft-out--
6×div-exp cbrt-unprod
5×associate-*l/
4×associate-/r/
3×cbrt-undiv rec-exp 1-exp pow-prod-down associate-/l*
2×frac-times flip3-+ flip3-- associate-*r/ flip-+ insert-posit16 div-inv flip-- add-log-exp
1×clear-num frac-2neg associate-*r* *-commutative pow-flip inv-pow
Calls
2 calls:
Slowest
100.0ms
(* (/ 1 (- (pow x 4) 1)) (* (+ (* x x) 1) -2))
29.0ms
(/ 1 (- (pow x 4) 1))

series172.0ms

Calls
2 calls:
Slowest
91.0ms
(/ 1 (- (pow x 4) 1))
81.0ms
(* (/ 1 (- (pow x 4) 1)) (* (+ (* x x) 1) -2))

simplify21.1s

Calls
169 calls:
Slowest
684.0ms
(/ (* (* 1 1) 1) (* (* (- (pow x 4) 1) (- (pow x 4) 1)) (- (pow x 4) 1)))
669.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 12)) (/ 1 (pow x 8))))
664.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 12)) (/ 1 (pow x 8))))
561.0ms
(* 1 (* (- (* (* x x) (* x x)) (* 1 1)) -2))
499.0ms
(* 1 (* (+ (pow (* x x) 3) (pow 1 3)) -2))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
696.0ms4226×body80valid
580.0ms1924×body640valid
388.0ms1208×body320valid
153.0ms642×body160valid