Details

sample413.0ms

Algorithm

intervals

Results

246.0ms	240×	body	10240	exit
46.0ms	439×	body	80	nan
25.0ms	235×	body	80	valid
6.0ms	24×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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

17.0ms	(+ (exp x) 1)
11.0ms	(sqrt (+ (exp x) 1))

series63.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

46.0ms	(sqrt (+ (exp x) 1))
17.0ms	(+ (exp x) 1)

simplify914.0ms

Counts: 36 → 36

prune282.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

5.2b	(- 1 (exp x))
0.1b	(* (exp x) (exp x))
0.1b	(* (exp x) (exp x))
0.1b	(+ (- 1 (exp x)) (* (exp x) (exp x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`pow1`
11×	`add-log-exp`
8×	`add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-exp-log` `insert-posit16`
2×	`pow2` `associate-+l+` `sum-log` `sub-neg` `pow-plus` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`

Counts

4 → 102

Calls

4 calls:

Slowest

60.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
18.0ms	(* (exp x) (exp x))
16.0ms	(* (exp x) (exp x))
7.0ms	(- 1 (exp x))

series105.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

54.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
20.0ms	(* (exp x) (exp x))
16.0ms	(- 1 (exp x))
15.0ms	(* (exp x) (exp x))

simplify1.0s

Counts: 114 → 114

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

5.2b	(- 1 (exp x))
0.1b	(* (exp x) (exp x))
0.1b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.0b	(/ (sqrt (+ (* (exp x) (exp (+ x x))) 1)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
42×	`add-cube-cbrt` `sqrt-prod`
36×	`times-frac`
18×	`exp-prod`
11×	`pow1` `add-log-exp`
8×	`add-cbrt-cube`
6×	`associate-/r` `add-exp-log` `associate-/l`
4×	`sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3-+` `swap-sqr` `associate-r` `associate-l` `flip-+`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `sqrt-undiv` `clear-num` `frac-2neg` `pow-plus` `flip3--` `div-exp` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

Slowest

207.0ms	(/ (sqrt (+ (* (exp x) (exp (+ x x))) 1)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))))
34.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
13.0ms	(* (exp x) (exp x))
6.0ms	(- 1 (exp x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(/ (sqrt (+ (* (exp x) (exp (+ x x))) 1)) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))))
32.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
19.0ms	(- 1 (exp x))
15.0ms	(* (exp x) (exp x))

simplify1.5s

Counts: 145 → 145

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

5.2b	(- 1 (exp x))
5.0b	(- (* 1 1) (* (* (exp x) (exp (+ x x))) 1))
0.1b	(pow (* (exp x) (exp (+ x x))) 3)
0.1b	(* (* (exp x) (exp (+ x x))) (* (exp x) (exp (+ x x))))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

179×	`exp-prod`
143×	`*-un-lft-identity`
89×	`pow-prod-up`
86×	`add-sqr-sqrt`
59×	`pow-prod-down`
55×	`pow1`
33×	`distribute-lft-out`
26×	`add-cube-cbrt`
22×	`distribute-rgt-out`
19×	`add-cbrt-cube` `pow-sqr`
13×	`distribute-lft1-in` `distribute-rgt1-in`
11×	`pow-pow`
9×	`cube-unmult` `exp-sum` `prod-exp` `add-exp-log` `cbrt-unprod`
8×	`add-log-exp`
4×	`insert-posit16`
3×	`pow-unpow`
2×	`sub-neg` `pow-plus` `flip3--` `diff-log` `pow-exp` `flip--` `rem-cube-cbrt` `difference-of-squares`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `distribute-rgt-out--` `unpow3` `cube-prod` `swap-sqr` `associate-r` `associate-l` `*-commutative` `distribute-lft-out--` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

Slowest

270.0ms	(* (* (exp x) (exp (+ x x))) (* (exp x) (exp (+ x x))))
187.0ms	(- (* 1 1) (* (* (exp x) (exp (+ x x))) 1))
64.0ms	(pow (* (exp x) (exp (+ x x))) 3)
12.0ms	(- 1 (exp x))

series189.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(pow (* (exp x) (exp (+ x x))) 3)
53.0ms	(* (* (exp x) (exp (+ x x))) (* (exp x) (exp (+ x x))))
52.0ms	(- (* 1 1) (* (* (exp x) (exp (+ x x))) 1))
16.0ms	(- 1 (exp x))

simplify1.6s

Counts: 156 → 156

prune3.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch3.0ms

end0.0ms

sample9.5s

Algorithm

intervals

Results

6.2s	6642×	body	10240	exit
1.8s	12610×	body	80	nan
879.0ms	7420×	body	80	valid
165.0ms	702×	body	160	valid