Details

sample462.0ms

Algorithm

intervals

Results

232.0ms	210×	body	10240	exit
36.0ms	371×	body	80	nan
27.0ms	234×	body	80	valid
6.0ms	26×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ 1 (exp x)))
0.0b	(+ 1 (exp x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

Slowest

13.0ms	(sqrt (+ 1 (exp x)))
8.0ms	(+ 1 (exp x))

series62.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(sqrt (+ 1 (exp x)))
9.0ms	(+ 1 (exp x))

simplify1.1s

Counts: 36 → 36

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1 (exp x)) (+ 1 (exp x)))
0.1b	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))
0.0b	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
0.0b	(sqrt (cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

88×	`frac-times`
87×	`flip3-+` `flip-+`
52×	`cbrt-div`
44×	`associate-*l/`
31×	`pow1`
26×	`-un-lft-identity` `sqrt-div` `associate-r/`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up` `distribute-lft-out`
6×	`swap-sqr`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `pow1/3` `pow3` `*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `pow1/2` `rem-cbrt-cube`

Counts

4 → 178

Calls

4 calls:

Slowest

80.0ms	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
49.0ms	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))
27.0ms	(* (+ 1 (exp x)) (+ 1 (exp x)))
13.0ms	(sqrt (cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))))

series111.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

38.0ms	(* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))
36.0ms	(sqrt (cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x)))))
21.0ms	(* (+ 1 (exp x)) (+ 1 (exp x)))
15.0ms	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

simplify1.4s

Counts: 190 → 190

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* (exp x) (exp x)) (exp x))
0.1b	(cbrt (+ (- (* (exp x) (exp x)) (exp x)) 1))
0.1b	(* (+ (exp x) 1) (+ (exp x) 1))
0.1b	(cbrt (* (+ 1 (* (* (exp x) (exp x)) (exp x))) (* (+ (exp x) 1) (+ (exp x) 1))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

34×	`flip3-+` `flip-+`
32×	`frac-times`
28×	`cbrt-div`
26×	`*-un-lft-identity`
16×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-*l/`
9×	`add-cube-cbrt`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `swap-sqr` `add-exp-log` `add-log-exp`
5×	`cbrt-prod`
4×	`associate-r` `associate-l` `insert-posit16`
2×	`pow1/3`
1×	`pow2` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `flip3--` `distribute-rgt-out--` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

Slowest

41.0ms	(cbrt (* (+ 1 (* (* (exp x) (exp x)) (exp x))) (* (+ (exp x) 1) (+ (exp x) 1))))
39.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
37.0ms	(cbrt (+ (- (* (exp x) (exp x)) (exp x)) 1))
27.0ms	(- (* (exp x) (exp x)) (exp x))

series459.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

230.0ms	(cbrt (* (+ 1 (* (* (exp x) (exp x)) (exp x))) (* (+ (exp x) 1) (+ (exp x) 1))))
175.0ms	(cbrt (+ (- (* (exp x) (exp x)) (exp x)) 1))
34.0ms	(- (* (exp x) (exp x)) (exp x))
20.0ms	(* (+ (exp x) 1) (+ (exp x) 1))

simplify961.0ms

Counts: 119 → 119

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (* (exp x) (exp x)) (exp x))
0.1b	(* (cbrt (* (+ (exp x) 1) (+ (exp x) 1))) (cbrt (* (+ (exp x) 1) (+ (exp x) 1))))
0.1b	(cbrt (+ (- (* (exp x) (exp x)) (exp x)) 1))
0.1b	(* (+ (exp x) 1) (+ (exp x) 1))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

146×	`cbrt-div`
140×	`frac-times`
115×	`flip3-+` `flip-+`
46×	`associate-l/` `associate-r/`
30×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`pow1`
13×	`add-cube-cbrt`
12×	`cbrt-prod`
10×	`swap-sqr`
8×	`associate-r` `associate-l` `add-exp-log`
7×	`pow1/3` `distribute-lft-out`
6×	`add-cbrt-cube` `add-log-exp`
5×	`unswap-sqr`
4×	`insert-posit16`
3×	`pow-prod-down` `pow-sqr` `pow-prod-up`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 186

Calls

4 calls:

Slowest

70.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
57.0ms	(* (cbrt (* (+ (exp x) 1) (+ (exp x) 1))) (cbrt (* (+ (exp x) 1) (+ (exp x) 1))))
55.0ms	(cbrt (+ (- (* (exp x) (exp x)) (exp x)) 1))
14.0ms	(- (* (exp x) (exp x)) (exp x))

series413.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(cbrt (+ (- (* (exp x) (exp x)) (exp x)) 1))
162.0ms	(* (cbrt (* (+ (exp x) 1) (+ (exp x) 1))) (cbrt (* (+ (exp x) 1) (+ (exp x) 1))))
52.0ms	(- (* (exp x) (exp x)) (exp x))
29.0ms	(* (+ (exp x) 1) (+ (exp x) 1))

simplify938.0ms

Counts: 198 → 198

prune3.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample9.7s

Algorithm

intervals

Results

6.2s	6599×	body	10240	exit
2.0s	12711×	body	80	nan
917.0ms	7375×	body	80	valid
253.0ms	742×	body	160	valid