Details

Time bar (total: 16.3s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize21.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ x (fma x x 1.0))

rewrite13.0ms

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:
11.0ms
(/ x (fma x x 1.0))

series130.0ms

Counts
1 → 3
Calls
1 calls:
130.0ms
(/ x (fma x x 1.0))

simplify3.3s

Counts
33 → 33
Iterations
IterNodes
done5000
31450
2451
1141
069

prune370.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
17.6b
(- (pow x 5) (* x (* x x)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
8×add-sqr-sqrt
7×*-un-lft-identity add-cbrt-cube fma-neg prod-diff add-exp-log add-cube-cbrt
6×unpow-prod-down
5×pow-prod-up
4×add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u sqr-pow
1×pow2 sub-neg pow-plus flip3-- diff-log cube-unmult associate-*r* pow-sqr *-commutative flip-- unswap-sqr
Counts
2 → 56
Calls
2 calls:
39.0ms
(* x (* x x))
36.0ms
(- (pow x 5) (* x (* x x)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (* x x))
159.0ms
(- (pow x 5) (* x (* x x)))

simplify4.1s

Counts
62 → 62
Iterations
IterNodes
done5002
32050
2548
1187
084

prune391.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.2b
(/ 1.0 (pow x 5))
0.3b
(/ 1.0 (* x (* x x)))
21.4b
(+ (- (/ 1 x) (/ 1.0 (* x (* x x)))) (/ 1.0 (pow x 5)))

rewrite583.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
110×*-un-lft-identity
107×add-sqr-sqrt
99×add-cube-cbrt
93×associate-+l+
91×prod-diff
24×div-inv
23×add-exp-log
20×add-cbrt-cube
18×pow1
12×unpow-prod-down
9×add-log-exp
8×associate-/r* fma-def
6×div-exp prod-exp cbrt-unprod associate-/l*
5×pow-prod-up
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u distribute-lft-out-- sqr-pow
3×associate-*l* pow-prod-down frac-add distribute-lft-out difference-of-squares
2×clear-num sum-log frac-2neg
1×pow2 pow-to-exp +-commutative sub-neg flip3-+ pow-plus flip3-- diff-log cube-unmult associate-*r* pow-exp pow-sqr *-commutative frac-sub associate-+l- flip-+ flip-- unswap-sqr
Counts
4 → 224
Calls
4 calls:
41.0ms
(* x (* x x))
15.0ms
(/ 1.0 (pow x 5))
27.0ms
(/ 1.0 (* x (* x x)))
470.0ms
(+ (- (/ 1 x) (/ 1.0 (* x (* x x)))) (/ 1.0 (pow x 5)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (* x x))
69.0ms
(/ 1.0 (pow x 5))
67.0ms
(/ 1.0 (* x (* x x)))
74.0ms
(+ (- (/ 1 x) (/ 1.0 (* x (* x x)))) (/ 1.0 (pow x 5)))

simplify3.6s

Counts
236 → 236
Iterations
IterNodes
done5081
22084
1576
0236

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

100% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 32.0b

bsearch118.0ms

Steps
ItersRangePoint
10
1.508099977930646e-06
2590629949647.022
1.020834055947729
10
-26711381.42537418
-6.803810524357175e-07
-1.0026376323582022

simplify16.0ms

Iterations
IterNodes
done30
130
021

end0.0ms

sample531.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid