Details

Time bar (total: 42.8s)

sample57.0ms

Algorithm
intervals
Results
20.0ms58×body640valid
13.0ms136×body80valid
9.0ms36×body320valid
5.0ms26×body160valid

simplify14.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize12.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite82.0ms

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
56.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (+ x 1))
8.0ms
(/ 1 (- x 1))

series152.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
106.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
27.0ms
(/ 1 (- x 1))
18.0ms
(/ 1 (+ x 1))

simplify5.3s

Counts
153 → 137
Calls
153 calls:
Slowest
446.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
415.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
395.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
287.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
225.0ms
(- (* 1 (- x 1)) (* (+ x 1) 1))

prune839.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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
47.0ms
(* (/ 1 (- (* x x) 1)) -2)
13.0ms
(/ 1 (- (* x x) 1))

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
42.0ms
(/ 1 (- (* x x) 1))
38.0ms
(* (/ 1 (- (* x x) 1)) -2)

simplify8.4s

Counts
94 → 99
Calls
94 calls:
Slowest
563.0ms
(* (/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1))) (* (* -2 -2) -2))
441.0ms
(* (* (* (/ 1 (- (* x x) 1)) (/ 1 (- (* x x) 1))) (/ 1 (- (* x x) 1))) (* (* -2 -2) -2))
403.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
372.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
340.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))

prune595.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (/ 1 (- (* x x) 1)))
14.5b
(cbrt (/ 1 (- (* x x) 1)))
14.5b
(cbrt (/ 1 (- (* x x) 1)))
0.4b
(/ 1 (- (* x x) 1))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod times-frac
58×add-sqr-sqrt *-un-lft-identity
45×add-cube-cbrt
26×difference-of-squares
13×difference-of-sqr-1
8×add-exp-log associate-/r/
6×associate-/r* add-cbrt-cube
5×pow1
4×flip3-- insert-posit16 div-inv flip-- add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
Counts
4 → 148
Calls
4 calls:
Slowest
25.0ms
(/ 1 (- (* x x) 1))
12.0ms
(cbrt (/ 1 (- (* x x) 1)))
12.0ms
(cbrt (/ 1 (- (* x x) 1)))
9.0ms
(cbrt (/ 1 (- (* x x) 1)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
158.0ms
(cbrt (/ 1 (- (* x x) 1)))
146.0ms
(cbrt (/ 1 (- (* x x) 1)))
140.0ms
(cbrt (/ 1 (- (* x x) 1)))
32.0ms
(/ 1 (- (* x x) 1))

simplify10.6s

Counts
137 → 160
Calls
137 calls:
Slowest
485.0ms
(cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* x x) 1))))
392.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))
270.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
268.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
266.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (- (* x x) 1))
14.5b
(cbrt (/ 1 (- (* x x) 1)))
14.5b
(cbrt (/ 1 (- (* x x) 1)))
0.4b
(/ 1 (- (* x x) 1))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod times-frac
47×add-sqr-sqrt *-un-lft-identity
36×add-cube-cbrt
22×difference-of-squares
11×difference-of-sqr-1
8×add-exp-log
6×associate-/r* add-cbrt-cube associate-/r/
5×pow1
4×cbrt-div flip3-- insert-posit16 flip-- add-log-exp
3×pow1/3 div-inv associate-/l*
2×div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
Counts
4 → 131
Calls
4 calls:
Slowest
22.0ms
(/ 1 (- (* x x) 1))
12.0ms
(cbrt (/ 1 (- (* x x) 1)))
9.0ms
(cbrt (/ 1 (- (* x x) 1)))
5.0ms
(cbrt (- (* x x) 1))

series508.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
184.0ms
(cbrt (/ 1 (- (* x x) 1)))
147.0ms
(cbrt (/ 1 (- (* x x) 1)))
128.0ms
(cbrt (- (* x x) 1))
50.0ms
(/ 1 (- (* x x) 1))

simplify10.1s

Counts
120 → 143
Calls
120 calls:
Slowest
369.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))
321.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
292.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
284.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
283.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s1849×body640valid
450.0ms4313×body80valid
334.0ms1245×body320valid
100.0ms593×body160valid