Details

Time bar (total: 21.8s)

sample35.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify19.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
19.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
62×times-frac
35×add-cube-cbrt
27×fma-def
14×difference-of-squares
12×distribute-lft-out
11×associate-/r*
9×add-exp-log distribute-lft-out--
7×add-cbrt-cube difference-of-sqr-1
6×associate-/r/ associate-/l*
5×add-log-exp
4×pow1 div-inv
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Counts
3 → 136
Calls
3 calls:
Slowest
47.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
12.0ms
(/ 1 (- x 1))
10.0ms
(/ x (+ x 1))

series144.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
96.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
24.0ms
(/ x (+ x 1))
23.0ms
(/ 1 (- x 1))

simplify4.5s

Counts
138 → 145
Calls
138 calls:
Slowest
379.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
347.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
271.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
255.0ms
(- (+ x (pow x 3)) (pow x 2))
219.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
65×times-frac
54×add-sqr-sqrt
42×add-cube-cbrt
27×fma-def
20×distribute-lft-out
12×associate-/r*
10×add-cbrt-cube add-exp-log
9×associate-/l*
8×associate-/r/
6×add-log-exp difference-of-squares
5×div-inv distribute-lft-out--
4×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg difference-of-sqr-1 div-exp
1×+-commutative sum-log flip3-- frac-add flip--
Counts
4 → 156
Calls
4 calls:
Slowest
44.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
9.0ms
(/ x (+ x 1))
8.0ms
(/ x (+ x 1))
8.0ms
(/ x (+ x 1))

series150.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
31.0ms
(/ x (+ x 1))
24.0ms
(/ x (+ x 1))
23.0ms
(/ x (+ x 1))

simplify4.9s

Counts
152 → 168
Calls
152 calls:
Slowest
402.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
271.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
263.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))
253.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
240.0ms
(- (+ x (pow x 3)) (pow x 2))

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
112×*-un-lft-identity
70×times-frac
65×add-sqr-sqrt
37×add-cube-cbrt
27×fma-def
20×distribute-lft-out
14×difference-of-squares
11×associate-/r* distribute-lft-out--
10×add-exp-log
9×exp-prod add-log-exp
8×add-cbrt-cube
7×difference-of-sqr-1
6×associate-/r/ associate-/l*
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×div-exp
2×cbrt-undiv clear-num sum-log frac-2neg flip3-+ flip3-- flip-+ flip-- rem-exp-log
1×+-commutative rec-exp 1-exp exp-sum frac-add pow-flip inv-pow
Counts
4 → 158
Calls
4 calls:
Slowest
182.0ms
(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))
47.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
17.0ms
(/ 1 (- x 1))
16.0ms
(/ x (+ x 1))

series290.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
140.0ms
(exp (+ (/ 1 (- x 1)) (/ x (+ x 1))))
88.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
38.0ms
(/ x (+ x 1))
24.0ms
(/ 1 (- x 1))

simplify5.4s

Counts
153 → 170
Calls
153 calls:
Slowest
380.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
318.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
266.0ms
(+ (* 4 (/ E (pow x 4))) (+ E (* 2 (/ E (pow x 2)))))
260.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
239.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid