Details

Time bar (total: 2.1m)

sample65.0ms

Algorithm
intervals
Results
24.0ms53×body640valid
13.0ms139×body80valid
12.0ms44×body320valid
4.0ms20×body160valid

simplify38.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
38.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize24.0ms

Local error

Found 3 expressions with local error:

3.1b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite73.0ms

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
47.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (+ x 1))
8.0ms
(/ 1 (- x 1))

series131.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
80.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
28.0ms
(/ 1 (+ x 1))
23.0ms
(/ 1 (- x 1))

simplify8.4s

Counts
182 → 137
Calls
182 calls:
Slowest
541.0ms
(* (* (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1)))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))))
474.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
373.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
357.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
347.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
21×add-cube-cbrt
18×associate-*l*
16×add-exp-log
10×add-cbrt-cube
8×difference-of-squares
6×pow1
5×add-log-exp
4×associate-/r* div-exp prod-exp associate-/r/
3×flip3-- associate-*r* insert-posit16 flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 93
Calls
3 calls:
Slowest
38.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
22.0ms
(/ 1 (- (* x x) (* 1 1)))
15.0ms
(- (* x x) (* 1 1))

series187.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
70.0ms
(- (* x x) (* 1 1))
61.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
56.0ms
(/ 1 (- (* x x) (* 1 1)))

simplify11.9s

Counts
119 → 102
Calls
119 calls:
Slowest
663.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1))) (- (* x x) (* 1 1))))
383.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
379.0ms
(* (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1))) (- (* x x) (* 1 1)))
345.0ms
(* (* (/ 1 (- (* x x) (* 1 1))) (/ 1 (- (* x x) (* 1 1)))) (/ 1 (- (* x x) (* 1 1))))
341.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune714.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite84.0ms

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
49.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
17.0ms
(/ (/ 1 (+ x 1)) (- x 1))
8.0ms
(/ 1 (+ x 1))

series526.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
441.0ms
(/ (/ 1 (+ x 1)) (- x 1))
72.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
13.0ms
(/ 1 (+ x 1))

simplify1.1m

Counts
518 → 376
Calls
518 calls:
Slowest
1.0s
(* (* (* (/ (/ 1 (+ x 1)) (- x 1)) -2) (* (/ (/ 1 (+ x 1)) (- x 1)) -2)) (* (/ (/ 1 (+ x 1)) (- x 1)) -2))
807.0ms
(* (* (* (/ (/ 1 (+ x 1)) (- x 1)) (/ (/ 1 (+ x 1)) (- x 1))) (/ (/ 1 (+ x 1)) (- x 1))) (* (* -2 -2) -2))
624.0ms
(/ (/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
607.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) (sqrt -2))
597.0ms
(/ (/ 1 (+ x 1)) (- (* x x) (* 1 1)))

prune2.9s

Pruning

4 alts after pruning (4 fresh and 0 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))

rewrite65.0ms

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
35.0ms
(/ (/ -2 (+ x 1)) (- x 1))
22.0ms
(/ -2 (+ x 1))

series81.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
56.0ms
(/ (/ -2 (+ x 1)) (- x 1))
25.0ms
(/ -2 (+ x 1))

simplify34.0s

Counts
349 → 209
Calls
349 calls:
Slowest
623.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
553.0ms
(/ (/ (* (cbrt -2) (cbrt -2)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1)))
551.0ms
(/ (/ -2 (+ x 1)) (- (* x x) (* 1 1)))
469.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
430.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s1935×body640valid
350.0ms1258×body320valid
338.0ms4209×body80valid
110.0ms598×body160valid