Details

sample349.0ms

Algorithm

intervals

Results

115.0ms	205×	body	10240	exit
67.0ms	355×	body	80	nan
26.0ms	235×	body	80	valid
4.0ms	25×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

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

14.0ms	(sqrt (+ (exp x) 1))
7.0ms	(+ (exp x) 1)

series52.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(sqrt (+ (exp x) 1))
11.0ms	(+ (exp x) 1)

simplify1.2s

Counts: 36 → 36

prune282.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b	(- 1 (exp x))
0.3b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.2b	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x)))))
0.2b	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`times-frac` `add-cube-cbrt`
15×	`sqrt-prod`
11×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`flip3-+` `associate-/r/` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `associate-+l+` `sum-log` `sub-neg` `diff-log` `div-inv` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-exp` `associate-+l-` `flip--` `distribute-lft-out--`

Counts

4 → 92

Calls

4 calls:

Slowest

183.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
125.0ms	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x)))))
60.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
6.0ms	(- 1 (exp x))

series250.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x)))))
75.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
32.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
24.0ms	(- 1 (exp x))

simplify1.7s

Counts: 104 → 104

prune989.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ (exp x) 1))
0.2b	(sqrt (+ (exp x) 1))
0.1b	(* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))
0.0b	(+ (exp x) 1)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

90×	`sqrt-prod`
50×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
34×	`sqrt-pow1`
29×	`pow1`
28×	`sqrt-div`
18×	`pow1/2` `swap-sqr` `add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `insert-posit16`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

Slowest

83.0ms	(* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))
9.0ms	(+ (exp x) 1)
8.0ms	(sqrt (+ (exp x) 1))
8.0ms	(sqrt (+ (exp x) 1))

series134.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

54.0ms	(sqrt (+ (exp x) 1))
40.0ms	(* (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))))
32.0ms	(sqrt (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify2.1s

Counts: 148 → 148

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

6.9s	6661×	body	10240	exit
1.5s	12377×	body	80	nan
815.0ms	7413×	body	80	valid
162.0ms	720×	body	160	valid