Details

sample76.0ms

Algorithm

intervals

Results

35.0ms	116×	body	1280	valid
13.0ms	66×	body	640	valid
8.0ms	267×	body	80	valid
5.0ms	42×	body	320	valid
1.0ms	20×	body	160	valid

simplify10.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize15.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) (exp (- x)))

rewrite22.0ms

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:

21.0ms

(- (exp x) (exp (- x)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(- (exp x) (exp (- x)))

simplify7.3s

Counts: 17 → 17

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

34.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
20.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
21.0ms	(* 1/60 (pow x 5))
14.0ms	(* 1/3 (pow x 3))

series461.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
213.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
77.0ms	(* 1/60 (pow x 5))
72.0ms	(* 1/3 (pow x 3))

simplify885.0ms

Counts: 92 → 92

prune351.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

5.4b	(- (exp x) (exp (- x)))
5.5b	(log (exp (- (exp x) (exp (- x)))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`log-pow`
5×	`log-prod` `exp-prod`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `sub-neg` `exp-sum` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 34

Calls

2 calls:

14.0ms	(- (exp x) (exp (- x)))
83.0ms	(log (exp (- (exp x) (exp (- x)))))

series111.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (exp x) (exp (- x)))
57.0ms	(log (exp (- (exp x) (exp (- x)))))

simplify7.8s

Counts: 40 → 40

prune108.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	3356×	body	1280	valid
1.1s	2436×	body	640	valid
487.0ms	8261×	body	80	valid
267.0ms	1263×	body	320	valid
68.0ms	645×	body	160	valid