Details

sample42.0ms

Algorithm

intervals

Results

25.0ms

485×

body

valid

simplify45.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(exp (- (- 1.0 (* x x))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
8×	`add-sqr-sqrt` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`rem-exp-log` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `distribute-neg-in` `diff-log` `exp-sum` `neg-log` `add-cbrt-cube`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `exp-diff` `flip--`

Counts

2 → 39

Calls

2 calls:

8.0ms	(- 1.0 (* x x))
35.0ms	(exp (- (- 1.0 (* x x))))

series98.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- 1.0 (* x x))
47.0ms	(exp (- (- 1.0 (* x x))))

simplify45.0ms

Counts: 45 → 45

prune414.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(- 1.0 (* x x))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(sqrt (- 1.0 (* x x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 58

Calls

4 calls:

7.0ms	(- 1.0 (* x x))
7.0ms	(- 1.0 (* x x))
7.0ms	(sqrt (- 1.0 (* x x)))
8.0ms	(sqrt (- 1.0 (* x x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- 1.0 (* x x))
59.0ms	(- 1.0 (* x x))
85.0ms	(sqrt (- 1.0 (* x x)))
85.0ms	(sqrt (- 1.0 (* x x)))

simplify60.0ms

Counts: 70 → 70

prune242.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (- (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))))
0.1b	(* (* x x) (* x x))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

113×	`pow1`
40×	`exp-prod`
36×	`pow-prod-up`
24×	`times-frac`
23×	`pow-prod-down`
22×	`pow-sqr`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-plus`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow2`
8×	`prod-exp` `cbrt-unprod`
6×	`difference-of-squares`
4×	`associate-/r/` `add-log-exp`
2×	`flip3-+` `flip-+` `div-inv` `rem-exp-log`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `exp-diff` `swap-sqr` `associate-r` `associate-l` `neg-log` `*-commutative` `unswap-sqr`

Counts

2 → 114

Calls

2 calls:

74.0ms	(exp (- (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))))
30.0ms	(* (* x x) (* x x))

series124.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(exp (- (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))))
53.0ms	(* (* x x) (* x x))

simplify66.0ms

Counts: 120 → 120

prune236.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify120.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

701.0ms

15869×

body

valid