Details

Time bar (total: 20.1s)

sample21.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
41×times-frac
34×add-sqr-sqrt
27×fma-def
22×add-cube-cbrt
12×distribute-lft-out
6×difference-of-squares
5×distribute-lft-out--
4×associate-/r* add-cbrt-cube add-exp-log associate-/r/ add-log-exp
3×difference-of-sqr-1 div-inv associate-/l*
2×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp frac-add flip--
Counts
2 → 84
Calls
2 calls:
Slowest
49.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
7.0ms
(/ x (+ x 1))

series92.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
60.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
32.0ms
(/ x (+ x 1))

simplify2.6s

Counts
78 → 90
Calls
78 calls:
Slowest
356.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
260.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
217.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))
177.0ms
(- (+ x (pow x 3)) (pow x 2))
112.0ms
(/ 1 (- (pow x 3) (pow 1 3)))

prune742.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (/ x (+ x 1))))
0.0b
(/ x (+ x 1))
0.0b
(log1p (/ x (+ x 1)))
0.0b
(+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
36×add-sqr-sqrt
33×times-frac
27×fma-def
24×add-cube-cbrt
6×add-cbrt-cube add-exp-log distribute-lft-out add-log-exp difference-of-squares
5×expm1-log1p-u
4×pow1 associate-/r* associate-/r/ insert-posit16 log1p-expm1-u
3×difference-of-sqr-1 div-inv associate-/l* distribute-lft-out--
2×flip3-+ flip-+ expm1-udef
1×cbrt-undiv +-commutative log1p-udef expm1-log1p clear-num associate-+r- sum-log frac-2neg flip3-- div-exp log1p-expm1 flip--
Counts
4 → 104
Calls
4 calls:
Slowest
50.0ms
(+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1)))))
9.0ms
(/ x (+ x 1))
1.0ms
(log1p (/ x (+ x 1)))
0.0ms
(expm1 (log1p (/ x (+ x 1))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
213.0ms
(+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1)))))
85.0ms
(expm1 (log1p (/ x (+ x 1))))
57.0ms
(log1p (/ x (+ x 1)))
32.0ms
(/ x (+ x 1))

simplify3.2s

Counts
75 → 116
Calls
75 calls:
Slowest
362.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
294.0ms
(- (+ x (* 7/3 (pow x 3))) (* 3/2 (pow x 2)))
256.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
198.0ms
(- (+ x (pow x 3)) (pow x 2))
197.0ms
(- (+ x (pow x 3)) (pow x 2))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))) (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))
0.0b
(expm1 (log1p (/ x (+ x 1))))
0.0b
(expm1 (log1p (/ x (+ x 1))))
0.0b
(expm1 (log1p (/ x (+ x 1))))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
16×distribute-lft-out
11×pow1 swap-sqr
10×add-sqr-sqrt
8×add-cube-cbrt div-inv
6×flip3-+ add-cbrt-cube add-exp-log flip-+
5×associate-*r* associate-*l*
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u add-log-exp
3×expm1-log1p expm1-udef
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 86
Calls
4 calls:
Slowest
223.0ms
(* (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))) (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))
0.0ms
(expm1 (log1p (/ x (+ x 1))))
0.0ms
(expm1 (log1p (/ x (+ x 1))))
0.0ms
(expm1 (log1p (/ x (+ x 1))))

series456.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(* (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))) (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))
102.0ms
(expm1 (log1p (/ x (+ x 1))))
101.0ms
(expm1 (log1p (/ x (+ x 1))))
89.0ms
(expm1 (log1p (/ x (+ x 1))))

simplify9.2s

Counts
65 → 98
Calls
65 calls:
Slowest
520.0ms
(* (+ (* (/ 1 (- x 1)) (/ 1 (- x 1))) (- (* (expm1 (log1p (/ x (+ x 1)))) (expm1 (log1p (/ x (+ x 1))))) (* (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))) (- (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))
496.0ms
(+ (* (/ 1 (- x 1)) (/ 1 (- x 1))) (- (* (expm1 (log1p (/ x (+ x 1)))) (expm1 (log1p (/ x (+ x 1))))) (* (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1)))))))
450.0ms
(* (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))) (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))
414.0ms
(* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (expm1 (log1p (/ x (+ x 1)))) (expm1 (log1p (/ x (+ x 1)))))) (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))
402.0ms
(* (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))) (+ (/ 1 (- x 1)) (expm1 (log1p (/ x (+ x 1))))))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample906.0ms

Algorithm
intervals
Results
763.0ms8000×body80valid