Details

Time bar (total: 9.7s)

sample20.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify20.0ms

Calls
1 calls:
Slowest
20.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
6×add-sqr-sqrt associate-/r* fma-def associate-/r/ add-cube-cbrt
5×add-log-exp
4×pow1 add-exp-log div-inv
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
2×clear-num frac-2neg flip3-+ flip3-- flip-+ flip-- distribute-lft-out
1×+-commutative rec-exp sum-log frac-add pow-flip inv-pow
Calls
3 calls:
Slowest
6.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
1.0ms
(/ 1 (- x 1))
1.0ms
(/ x (+ x 1))

series60.0ms

Calls
3 calls:
Slowest
42.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
10.0ms
(/ x (+ x 1))
8.0ms
(/ 1 (- x 1))

simplify1.5s

Calls
29 calls:
Slowest
261.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))
200.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
154.0ms
(- (+ x (+ (pow x 2) 1)))
116.0ms
(- (+ x (pow x 3)) (pow x 2))
102.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))

prune547.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1 (fma x x -1))
0.0b
(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
0.0b
(/ x (+ x 1))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-/r*
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-exp-log
3×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/r/ div-inv
1×rec-exp flip3-+ flip-+ fma-udef pow-flip inv-pow
Calls
3 calls:
Slowest
1.0ms
(/ 1 (fma x x -1))
1.0ms
(/ x (+ x 1))
0.0ms
(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series87.0ms

Calls
3 calls:
Slowest
55.0ms
(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
17.0ms
(/ x (+ x 1))
15.0ms
(/ 1 (fma x x -1))

simplify996.0ms

Calls
18 calls:
Slowest
215.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
121.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))
99.0ms
(- (+ (pow x 2) (+ (pow x 4) 1)))
92.0ms
(+ (* 2 (/ 1 (pow x 4))) (+ 1 (* 2 (/ 1 (pow x 2)))))
86.0ms
(+ (* x x) (- (* 1 1) (* x 1)))

prune508.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

10.4b
(cbrt (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))))
0.6b
(/ 1 (fma x x -1))
0.6b
(/ 1 (fma x x -1))
0.6b
(/ 1 (fma x x -1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-div
9×associate-/r*
7×add-sqr-sqrt pow1 *-un-lft-identity add-exp-log add-cube-cbrt
6×frac-times associate-*l/
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg associate-*r/ un-div-inv div-inv pow-flip inv-pow
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
16.0ms
(cbrt (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))))
2.0ms
(/ 1 (fma x x -1))
2.0ms
(/ 1 (fma x x -1))
2.0ms
(/ 1 (fma x x -1))

series83.0ms

Calls
4 calls:
Slowest
28.0ms
(/ 1 (fma x x -1))
25.0ms
(cbrt (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))))
16.0ms
(/ 1 (fma x x -1))
14.0ms
(/ 1 (fma x x -1))

simplify3.7s

Calls
35 calls:
Slowest
543.0ms
(cbrt (* (* 1 (/ 1 (fma x x -1))) (/ 1 (fma x x -1))))
496.0ms
(cbrt (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))))
484.0ms
(cbrt (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))))
447.0ms
(cbrt (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))))
379.0ms
(cbrt (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) 1))

prune856.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid