Details

Time bar (total: 16.8s)

sample116.0ms

Algorithm
intervals
Results
50.0ms103×body1280valid
27.0ms82×body640valid
15.0ms258×body80valid
8.0ms39×body320valid
3.0ms21×body160valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
736
636
535
433
329
222
114
07

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
prod-diff
add-cube-cbrt
fma-neg add-log-exp
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:
24.0ms
(- (exp x) (exp (- x)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(- (exp x) (exp (- x)))

simplify3.0s

Counts
32 → 32
Iterations
IterNodes
43839
31106
2406
1169
074

prune237.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 42
Calls
2 calls:
10.0ms
(* (fma (* 1/3 x) x 2) x)
6.0ms
(* 1/3 x)

series124.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* (fma (* 1/3 x) x 2) x)
17.0ms
(* 1/3 x)

simplify2.1s

Counts
48 → 48
Iterations
IterNodes
44494
31102
2326
1128
064

prune489.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
0.4b
(* (sqrt (fma (* 1/3 x) x 2)) (* (sqrt (fma (* 1/3 x) x 2)) x))
0.4b
(* (sqrt (fma (* 1/3 x) x 2)) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×associate-*l*
15×pow1 add-cbrt-cube add-exp-log
13×*-un-lft-identity add-cube-cbrt
10×associate-*r*
sqrt-prod
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(* 1/3 x)
6.0ms
(* 1/3 x)
28.0ms
(* (sqrt (fma (* 1/3 x) x 2)) (* (sqrt (fma (* 1/3 x) x 2)) x))
8.0ms
(* (sqrt (fma (* 1/3 x) x 2)) x)

series286.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 1/3 x)
16.0ms
(* 1/3 x)
96.0ms
(* (sqrt (fma (* 1/3 x) x 2)) (* (sqrt (fma (* 1/3 x) x 2)) x))
148.0ms
(* (sqrt (fma (* 1/3 x) x 2)) x)

simplify906.0ms

Counts
103 → 103
Iterations
IterNodes
32294
2724
1262
0110

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.3b
(* 1/3 x)
0.3b
(* (sqrt (sqrt (fma (* 1/3 x) x 2))) (* (sqrt (fma (* 1/3 x) x 2)) x))
0.4b
(* (sqrt (fma (* 1/3 x) x 2)) x)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×associate-*l*
15×pow1 add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
13×sqrt-prod
10×associate-*r*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 1/3 x)
6.0ms
(* 1/3 x)
24.0ms
(* (sqrt (sqrt (fma (* 1/3 x) x 2))) (* (sqrt (fma (* 1/3 x) x 2)) x))
19.0ms
(* (sqrt (fma (* 1/3 x) x 2)) x)

series419.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* 1/3 x)
16.0ms
(* 1/3 x)
237.0ms
(* (sqrt (sqrt (fma (* 1/3 x) x 2))) (* (sqrt (fma (* 1/3 x) x 2)) x))
149.0ms
(* (sqrt (fma (* 1/3 x) x 2)) x)

simplify1.6s

Counts
106 → 106
Iterations
IterNodes
33631
21134
1371
0160

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
213
113
011

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.9s3440×body1280valid
1.2s2402×body640valid
968.0ms8110×body80valid
306.0ms1246×body320valid
87.0ms627×body160valid