Details

Time bar (total: 9.1s)

sample26.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize20.0ms

Local error

Found 1 expressions with local error:

14.6b
(/ x (fma x x 1))

rewrite9.0ms

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:
8.0ms
(/ x (fma x x 1))

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ x (fma x x 1))

simplify858.0ms

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

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
14.6b
(sqrt (fma x x 1))
14.6b
(sqrt (fma x x 1))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 252
Calls
4 calls:
5.0ms
(/ x (sqrt (fma x x 1)))
10.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series263.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ x (sqrt (fma x x 1)))
62.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
41.0ms
(sqrt (fma x x 1))
51.0ms
(sqrt (fma x x 1))

simplify1.3s

Counts
264 → 264
Iterations
IterNodes
done2019
32019
21511
1660
0289

prune797.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b
(/ 1 (pow x 5))
0.1b
(/ (/ 1 x) (* x x))
18.8b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
985×times-frac
550×add-sqr-sqrt
519×*-un-lft-identity
488×add-cube-cbrt
442×prod-diff
223×associate-+l+
98×div-inv
35×add-exp-log
24×difference-of-squares
18×pow1 add-cbrt-cube div-exp
17×fma-def
16×associate-/l*
13×fma-neg
12×unpow-prod-down
11×add-log-exp
8×associate-/r* distribute-lft-out-- pow-div
7×cbrt-undiv
6×distribute-lft-out
5×rec-exp 1-exp pow-flip inv-pow
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u sqr-pow
3×pow-to-exp frac-add pow-exp
2×pow2 clear-num sum-log sub-neg frac-2neg pow-plus flip3-- diff-log pow-sqr pow-prod-up frac-sub cbrt-unprod flip--
1×+-commutative flip3-+ associate-+l- flip-+ associate-/l/
Counts
4 → 646
Calls
4 calls:
29.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
6.0ms
(/ 1 (pow x 5))
12.0ms
(/ (/ 1 x) (* x x))
123.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
80.0ms
(/ 1 (pow x 5))
50.0ms
(/ (/ 1 x) (* x x))
52.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify1.5s

Counts
658 → 658
Iterations
IterNodes
done2001
22001
11243
0541

prune2.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch65.0ms

Steps
ItersRangePoint
11
5.037382729650074e-10
1937402784720.5117
11907527.731338572
7
-4836831.514196925
-44481.00103279522
-2678435.1094305497

simplify3.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample603.0ms

Algorithm
intervals
Results
505.0ms8000×body80valid