Details

Time bar (total: 26.4s)

sample77.0ms

Algorithm
intervals
Results
27.0ms45×body1280valid
15.0ms32×body640valid
13.0ms145×body80valid
7.0ms21×body320valid
2.0ms13×body160valid

simplify12.2s

Counts
1 → 1
Iterations
IterNodes
99728
81956
7573
6233
5101
449
328
220
116
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1 (exp (* -2 x)))
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
2.3b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite121.0ms

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
(+ 1 (exp (* -2 x)))
23.0ms
(/ 2 (+ 1 (exp (* -2 x))))
83.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series105.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ 1 (exp (* -2 x)))
26.0ms
(/ 2 (+ 1 (exp (* -2 x))))
68.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.8s

Counts
159 → 159
Iterations
IterNodes
32094
2889
1406
0183

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2 (+ (exp (* -2 x)) 1))
0.0b
(+ (exp (* -2 x)) 1)
2.3b
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

rewrite112.0ms

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:
16.0ms
(/ 2 (+ (exp (* -2 x)) 1))
12.0ms
(+ (exp (* -2 x)) 1)
82.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

series115.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 2 (+ (exp (* -2 x)) 1))
11.0ms
(+ (exp (* -2 x)) 1)
78.0ms
(- (/ 2 (+ (exp (* -2 x)) 1)) 1)

simplify1.5s

Counts
159 → 159
Iterations
IterNodes
32153
2859
1397
0180

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) x)
0.4b
(fma (pow x 5) 2/15 x)
22.3b
(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
8×add-cbrt-cube add-exp-log
6×pow-plus pow-prod-up
5×add-sqr-sqrt
4×*-un-lft-identity add-cube-cbrt
3×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×pow2 pow-sqr fma-udef
1×associate-*l* pow3 *-commutative unswap-sqr
Counts
3 → 53
Calls
3 calls:
32.0ms
(* (* x x) x)
1.0ms
(fma (pow x 5) 2/15 x)
1.0ms
(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

series260.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (* x x) x)
143.0ms
(fma (pow x 5) 2/15 x)
74.0ms
(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))

simplify3.2s

Counts
62 → 62
Iterations
IterNodes
45741
31258
2374
1128
070

prune650.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes170.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.8b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
229
129
023

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s1697×body1280valid
600.0ms1306×body640valid
402.0ms4045×body80valid
268.0ms636×body320valid
58.0ms316×body160valid