Details

Time bar (total: 10.8s)

sample21.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify35.0ms

Counts
1 → 1

prune15.0ms

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

rewrite108.0ms

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
68.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
21.0ms
(/ 1 (- x 1))
16.0ms
(/ x (+ x 1))

series123.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
69.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
34.0ms
(/ x (+ x 1))
20.0ms
(/ 1 (- x 1))

simplify1.5s

Counts
145 → 145

prune952.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

15.0b
(* (/ 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)))

rewrite85.0ms

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
30.0ms
(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
30.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
15.0ms
(/ x (+ x 1))
8.0ms
(/ 1 (fma x x -1))

series267.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
148.0ms
(+ (* (/ 1 (fma x x -1)) (+ x 1)) (/ x (+ x 1)))
42.0ms
(/ 1 (fma x x -1))
39.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
37.0ms
(/ x (+ x 1))

simplify906.0ms

Counts
149 → 149

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

15.0b
(* (/ 1 (fma x x -1)) (+ x 1))
15.0b
(* (/ 1 (fma x x -1)) (+ x 1))
15.0b
(* (/ 1 (fma x x -1)) (+ x 1))
0.4b
(/ 1 (fma x x -1))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
45×*-un-lft-identity
42×times-frac
39×associate-*l*
36×add-cube-cbrt
35×add-exp-log
21×add-cbrt-cube
12×associate-*r* prod-exp
11×pow1
9×unswap-sqr
8×div-exp
6×frac-times flip3-+ associate-*r/ cbrt-unprod flip-+
4×expm1-log1p-u cbrt-undiv rec-exp 1-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
3×distribute-rgt-in associate-/r* distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out associate-/l*
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 169
Calls
4 calls:
Slowest
35.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
29.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
20.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
9.0ms
(/ 1 (fma x x -1))

series171.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
53.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
52.0ms
(* (/ 1 (fma x x -1)) (+ x 1))
36.0ms
(/ 1 (fma x x -1))
30.0ms
(* (/ 1 (fma x x -1)) (+ x 1))

simplify1.7s

Counts
181 → 181

prune2.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample874.0ms

Algorithm
intervals
Results
730.0ms8000×body80valid