Details

Time bar (total: 2.4m)

sample28.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
27
17
05

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize14.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ x (fma x x 1))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
5.0ms
(/ x (fma x x 1))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ x (fma x x 1))

simplify2.4s

Counts
33 → 33
Iterations
IterNodes
54654
41479
3547
2262
1114
063

prune258.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1) x))
16.2b
(/ (fma x x 1) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
12.0ms
(/ 1 (/ (fma x x 1) x))
9.0ms
(/ (fma x x 1) x)

series201.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ 1 (/ (fma x x 1) x))
116.0ms
(/ (fma x x 1) x)

simplify2.1m

Counts
115 → 115
Iterations
IterNodes
46769
31984
2815
1372
0163

prune494.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot 1 x)
0.0b
(/ x (hypot 1 x))
0.0b
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
0.0b
(/ 1 (hypot 1 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
43×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
32×add-exp-log
20×add-cbrt-cube
13×associate-*r* associate-*l*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/r* associate-/l* unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg
1×frac-times hypot-udef pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 134
Calls
4 calls:
0.0ms
(hypot 1 x)
7.0ms
(/ x (hypot 1 x))
15.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
4.0ms
(/ 1 (hypot 1 x))

series289.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(hypot 1 x)
77.0ms
(/ x (hypot 1 x))
88.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
70.0ms
(/ 1 (hypot 1 x))

simplify9.0s

Counts
146 → 146
Iterations
IterNodes
34622
21494
1517
0194

prune652.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1 x))
0.1b
(/ 1 (+ x (/ 1 x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
6×add-exp-log div-inv
5×associate-/r*
4×add-cbrt-cube add-log-exp
3×pow1 fma-def associate-/l*
2×expm1-log1p-u flip3-+ div-exp associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg 1-exp pow-flip inv-pow
Counts
2 → 63
Calls
2 calls:
8.0ms
(+ x (/ 1 x))
11.0ms
(/ 1 (+ x (/ 1 x)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ x (/ 1 x))
24.0ms
(/ 1 (+ x (/ 1 x)))

simplify3.7s

Counts
69 → 69
Iterations
IterNodes
42826
31118
2449
1172
080

prune230.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample414.0ms

Algorithm
intervals
Results
328.0ms8000×body80valid