Details

Time bar (total: 12.4s)

sample94.0ms

Algorithm
intervals
Results
41.0ms103×body1280valid
22.0ms82×body640valid
12.0ms258×body80valid
7.0ms39×body320valid
2.0ms21×body160valid

simplify44.0ms

Counts
1 → 1
Iterations
IterNodes
done38
638
537
435
331
224
114
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize19.0ms

Local error

Found 1 expressions with local error:

6.3b
(- (exp x) (exp (- x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 29
Calls
1 calls:
12.0ms
(- (exp x) (exp (- x)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(- (exp x) (exp (- x)))

simplify1.1s

Counts
32 → 32
Iterations
IterNodes
done2102
42102
31173
2419
1171
074

prune228.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
0.0b
(* (pow x 5) 1/60)
0.3b
(* 1/3 x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×associate-*l* add-exp-log
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
6×associate-*r*
5×pow1
4×unpow-prod-down prod-exp unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative cbrt-unprod sqr-pow
1×pow-to-exp pow-prod-down pow-exp fma-udef
Counts
3 → 60
Calls
3 calls:
0.0ms
(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
9.0ms
(* (pow x 5) 1/60)
5.0ms
(* 1/3 x)

series211.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
92.0ms
(* (pow x 5) 1/60)
33.0ms
(* 1/3 x)

simplify880.0ms

Counts
69 → 69
Iterations
IterNodes
done2000
42000
31498
2491
1204
098

prune525.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
39.0b
(cbrt (* (* (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 76
Calls
4 calls:
5.0ms
(* 1/3 x)
9.0ms
(* 1/3 x)
5.0ms
(* 1/3 x)
11.0ms
(cbrt (* (* (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* 1/3 x)
15.0ms
(* 1/3 x)
19.0ms
(* 1/3 x)
61.0ms
(cbrt (* (* (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))))

simplify947.0ms

Counts
88 → 88
Iterations
IterNodes
done2000
42000
3674
2231
1118
062

prune788.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
0.7b
(cbrt (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)))
28.6b
(cbrt (* (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
8×pow1 add-cbrt-cube add-exp-log
6×associate-*r* associate-*l*
4×cbrt-prod expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
14.0ms
(* 1/3 x)
8.0ms
(* 1/3 x)
1.0ms
(cbrt (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)))
5.0ms
(cbrt (* (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* 1/3 x)
17.0ms
(* 1/3 x)
182.0ms
(cbrt (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)))
215.0ms
(cbrt (* (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60)) (fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))))

simplify962.0ms

Counts
80 → 80
Iterations
IterNodes
done2002
32002
2785
1315
0150

prune977.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.0s3440×body1280valid
1.4s2402×body640valid
668.0ms8110×body80valid
302.0ms1246×body320valid
97.0ms627×body160valid