Details

Time bar (total: 14.4s)

sample100.0ms

Algorithm
intervals
Results
33.0ms56×body1280valid
26.0ms119×body80valid
17.0ms40×body640valid
10.0ms33×body320valid
1.0ms8×body160valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5002
82490
7682
6240
5101
451
330
222
118
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1 (exp (* -2 x)))
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
3.1b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
6.0ms
(+ 1 (exp (* -2 x)))
10.0ms
(/ 2 (+ 1 (exp (* -2 x))))
70.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series127.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ 1 (exp (* -2 x)))
28.0ms
(/ 2 (+ 1 (exp (* -2 x))))
88.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.4s

Counts
159 → 159
Iterations
IterNodes
done5000
32671
2930
1426
0183

prune482.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma -1/3 (* x (* x x)) x)
0.1b
(* x (* x x))
18.1b
(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
8×add-cbrt-cube add-exp-log
5×add-sqr-sqrt pow-prod-up
4×*-un-lft-identity add-cube-cbrt
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow2 pow-plus cube-unmult associate-*r* pow-sqr *-commutative unswap-sqr
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma -1/3 (* x (* x x)) x)
27.0ms
(* x (* x x))
1.0ms
(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))

series256.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(fma -1/3 (* x (* x x)) x)
42.0ms
(* x (* x x))
78.0ms
(fma (pow x 5) 2/15 (fma -1/3 (* x (* x x)) x))

simplify1.6s

Counts
58 → 58
Iterations
IterNodes
done5000
31267
2341
1122
072

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2 (+ 1 (exp (* x -2))))
0.0b
(+ 1 (exp (* x -2)))
3.1b
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
11.0ms
(/ 2 (+ 1 (exp (* x -2))))
9.0ms
(+ 1 (exp (* x -2)))
58.0ms
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

series123.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2 (+ 1 (exp (* x -2))))
11.0ms
(+ 1 (exp (* x -2)))
77.0ms
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

simplify3.2s

Counts
159 → 159
Iterations
IterNodes
done5000
32770
21079
1432
0185

prune397.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.2b

bsearch148.0ms

Steps
ItersRangePoint
9
6.802190297852232e-07
2.2608459371195293
0.0076963482510729354
10
-271299687514.82303
-4.981612762678325e-05
-0.007956784398241263

simplify4.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s1776×body1280valid
539.0ms1256×body640valid
333.0ms3972×body80valid
309.0ms650×body320valid
61.0ms346×body160valid