Details

Time bar (total: 9.2s)

sample155.0ms

Algorithm
intervals
Results
76.0ms120×body1280valid
33.0ms77×body640valid
18.0ms235×body80valid
11.0ms39×body320valid
2.0ms12×body160valid

simplify56.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize19.0ms

Local error

Found 1 expressions with local error:

3.8b
(- (exp x) (exp (- x)))

rewrite26.0ms

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:
26.0ms
(- (exp x) (exp (- x)))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(- (exp x) (exp (- x)))

simplify813.0ms

Counts
32 → 32
Iterations
IterNodes
done2005
31173
2419
1171
074

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)

rewrite36.0ms

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))
29.0ms
(* (pow x 5) 1/60)
6.0ms
(* 1/3 x)

series232.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(fma x (fma (* 1/3 x) x 2) (* (pow x 5) 1/60))
96.0ms
(* (pow x 5) 1/60)
27.0ms
(* 1/3 x)

simplify816.0ms

Counts
69 → 69
Iterations
IterNodes
done2000
31498
2491
1204
098

prune275.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
41.5b
(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))))

rewrite46.0ms

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)
7.0ms
(* 1/3 x)
8.0ms
(* 1/3 x)
25.0ms
(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))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 1/3 x)
15.0ms
(* 1/3 x)
19.0ms
(* 1/3 x)
84.0ms
(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))))

simplify740.0ms

Counts
88 → 88
Iterations
IterNodes
done2000
3674
2231
1118
062

prune494.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.5s3423×body1280valid
1.1s2458×body640valid
625.0ms7881×body80valid
335.0ms1233×body320valid
124.0ms627×body160valid