Details

Time bar (total: 8.5s)

sample29.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize14.0ms

Local error

Found 1 expressions with local error:

13.9b
(/ x (fma x x 1))

rewrite11.0ms

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:
10.0ms
(/ x (fma x x 1))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(/ x (fma x x 1))

simplify1.0s

Counts
33 → 33
Iterations
IterNodes
done2001
42001
3982
2350
1123
063

prune136.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (fma x x 1))
13.6b
(* x (/ 1 (fma x x 1)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 73
Calls
2 calls:
9.0ms
(/ 1 (fma x x 1))
13.0ms
(* x (/ 1 (fma x x 1)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (fma x x 1))
82.0ms
(* x (/ 1 (fma x x 1)))

simplify1.4s

Counts
79 → 79
Iterations
IterNodes
done2001
42001
31822
2705
1259
0114

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1) x))
13.9b
(/ (fma x x 1) x)

rewrite12.0ms

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:
6.0ms
(/ 1 (/ (fma x x 1) x))
4.0ms
(/ (fma x x 1) x)

series164.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (/ (fma x x 1) x))
101.0ms
(/ (fma x x 1) x)

simplify1.6s

Counts
115 → 115
Iterations
IterNodes
done2000
42000
31987
2846
1380
0163

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

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

rewrite26.0ms

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)
4.0ms
(/ x (hypot 1 x))
7.0ms
(/ 1 (hypot 1 x))
14.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(hypot 1 x)
132.0ms
(/ x (hypot 1 x))
98.0ms
(/ 1 (hypot 1 x))
144.0ms
(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))

simplify1.3s

Counts
146 → 146
Iterations
IterNodes
done2012
32012
21657
1533
0194

prune644.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
06

end0.0ms

sample760.0ms

Algorithm
intervals
Results
636.0ms8000×body80valid