Details

Time bar (total: 7.1s)

sample35.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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
32.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
13.0ms
(/ x (+ x 1))
8.0ms
(/ 1 (- x 1))

series132.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
89.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms
(/ x (+ x 1))
18.0ms
(/ 1 (- x 1))

simplify648.0ms

Counts
154 → 145

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

13.8b
(* (/ 1 (fma x x -1)) (+ x 1))
0.4b
(/ 1 (fma x x -1))
0.0b
(/ x (+ x 1))
0.0b
(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
13×add-cbrt-cube associate-*l*
7×pow1 associate-/r*
6×flip3-+ flip-+ associate-/l* add-log-exp
5×div-exp frac-add distribute-lft-out
4×expm1-log1p-u frac-times associate-*r* prod-exp associate-*r/ insert-posit16 log1p-expm1-u
3×cbrt-undiv div-inv unswap-sqr
2×distribute-rgt-in rec-exp associate-+l+ clear-num frac-2neg distribute-lft-in 1-exp associate-*l/ associate-/r/ cbrt-unprod
1×+-commutative sum-log fma-def pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 137
Calls
4 calls:
Slowest
37.0ms
(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
18.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
10.0ms
(/ x (+ x 1))
4.0ms
(/ 1 (fma x x -1))

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
48.0ms
(/ 1 (fma x x -1))
31.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
26.0ms
(/ x (+ x 1))

simplify469.0ms

Counts
182 → 149

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

13.8b
(* (/ 1 (fma x x -1)) (+ x 1))
3.1b
(log (exp (* (/ 1 (fma x x -1)) (+ x 1))))
0.4b
(/ 1 (fma x x -1))
0.0b
(/ x (+ x 1))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
37×add-sqr-sqrt
32×times-frac
30×add-cube-cbrt
19×add-exp-log
13×add-cbrt-cube associate-*l*
8×pow1
7×associate-/r*
6×associate-/l*
5×log-prod div-exp distribute-lft-out add-log-exp
4×expm1-log1p-u associate-*r* prod-exp insert-posit16 log1p-expm1-u
3×cbrt-undiv flip3-+ log-pow flip-+ div-inv unswap-sqr
2×distribute-rgt-in frac-times rec-exp clear-num frac-2neg distribute-lft-in 1-exp exp-sum associate-*r/ associate-/r/ cbrt-unprod
1×exp-prod exp-to-pow rem-log-exp pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
4 → 134
Calls
4 calls:
Slowest
25.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
20.0ms
(/ x (+ x 1))
8.0ms
(/ 1 (fma x x -1))
8.0ms
(log (exp (* (/ 1 (fma x x -1)) (+ x 1))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
65.0ms
(/ 1 (fma x x -1))
43.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
38.0ms
(/ x (+ x 1))
31.0ms
(log (exp (* (/ 1 (fma x x -1)) (+ x 1))))

simplify721.0ms

Counts
178 → 146

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample776.0ms

Algorithm
intervals
Results
642.0ms8000×body80valid