Details

Time bar (total: 5.5s)

sample81.0ms

Algorithm
intervals
Results
35.0ms110×body1280valid
17.0ms86×body640valid
9.0ms287×body80valid
4.0ms35×body320valid
1.0ms18×body160valid

simplify210.0ms

Counts
1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) (exp (- x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
14.0ms
(- (exp x) (exp (- x)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (exp x) (exp (- x)))

simplify522.0ms

Counts
17 → 17

prune62.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×associate-*r*
12×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp add-cbrt-cube
4×cube-prod sqr-pow
2×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
1×cube-mult unpow3
Counts
2 → 56
Calls
2 calls:
12.0ms
(* 1/60 (pow x 5))
20.0ms
(* 1/3 (pow x 3))

series93.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* 1/60 (pow x 5))
38.0ms
(* 1/3 (pow x 3))

simplify191.0ms

Counts
62 → 62

prune141.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- (exp x) (exp (- x))))
5.1b
(log (exp (- (exp x) (exp (- x)))))
5.1b
(- (exp x) (exp (- x)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×exp-prod
8×add-log-exp
6×add-cube-cbrt log-pow
5×log-prod
4×pow1 exp-sum
3×add-exp-log sub-neg add-cbrt-cube distribute-lft-out-- difference-of-squares
2×exp-diff diff-log rem-exp-log
1×log-div flip3-- rem-log-exp flip--
Counts
3 → 51
Calls
3 calls:
40.0ms
(exp (- (exp x) (exp (- x))))
42.0ms
(log (exp (- (exp x) (exp (- x)))))
13.0ms
(- (exp x) (exp (- x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(exp (- (exp x) (exp (- x))))
39.0ms
(log (exp (- (exp x) (exp (- x)))))
43.0ms
(- (exp x) (exp (- x)))

simplify47.0ms

Counts
60 → 60

prune113.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (exp (log (- (exp x) (exp (- x))))))
0.2b
(exp (log (- (exp x) (exp (- x)))))
2.5b
(log (exp (exp (log (- (exp x) (exp (- x)))))))
5.1b
(- (exp x) (exp (- x)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
20×exp-prod
19×add-sqr-sqrt *-un-lft-identity
18×log-prod
15×exp-sum
11×add-cube-cbrt
10×log-pow
7×add-log-exp
6×pow1
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
2×log-div flip3-- exp-diff flip-- rem-exp-log
1×sub-neg diff-log rem-log-exp
Counts
4 → 69
Calls
4 calls:
44.0ms
(exp (exp (log (- (exp x) (exp (- x))))))
16.0ms
(exp (log (- (exp x) (exp (- x)))))
41.0ms
(log (exp (exp (log (- (exp x) (exp (- x)))))))
19.0ms
(- (exp x) (exp (- x)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(exp (exp (log (- (exp x) (exp (- x))))))
45.0ms
(exp (log (- (exp x) (exp (- x)))))
40.0ms
(log (exp (exp (log (- (exp x) (exp (- x)))))))
45.0ms
(- (exp x) (exp (- x)))

simplify47.0ms

Counts
81 → 81

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.2s3412×body1280valid
594.0ms2457×body640valid
531.0ms1206×body320valid
304.0ms8379×body80valid
86.0ms660×body160valid