Details

sample416.0ms

Algorithm

intervals

Results

163.0ms	229×	body	10240	exit
64.0ms	241×	body	80	valid
45.0ms	435×	body	80	nan
5.0ms	20×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite34.0ms

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

18.0ms	(sqrt (+ (exp x) 1))
13.0ms	(+ (exp x) 1)

series69.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

60.0ms	(sqrt (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify884.0ms

Counts: 36 → 36

prune310.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (+ (exp x) 1))
0.1b	(log (sqrt (+ (exp x) 1)))
0.0b	(exp (log (sqrt (+ (exp x) 1))))
0.0b	(+ (exp x) 1)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
12×	`sqrt-prod`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`pow1`
7×	`exp-sum`
6×	`exp-prod` `sqrt-div` `log-pow` `add-log-exp`
5×	`add-exp-log`
4×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
3×	`sqrt-pow1` `pow1/2`
2×	`exp-diff`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

4 → 75

Calls

4 calls:

Slowest

10.0ms	(sqrt (+ (exp x) 1))
7.0ms	(exp (log (sqrt (+ (exp x) 1))))
6.0ms	(+ (exp x) 1)
6.0ms	(log (sqrt (+ (exp x) 1)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(log (sqrt (+ (exp x) 1)))
37.0ms	(sqrt (+ (exp x) 1))
36.0ms	(exp (log (sqrt (+ (exp x) 1))))
9.0ms	(+ (exp x) 1)

simplify1.5s

Counts: 87 → 87

prune773.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

4.1b	(- 1 (exp x))
0.3b	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x)))))
0.2b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.2b	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))

rewrite373.0ms

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

156.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
147.0ms	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x)))))
59.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
6.0ms	(- 1 (exp x))

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x)))))
106.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (+ (- 1 (exp x)) (* (exp x) (exp x))))
50.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
25.0ms	(- 1 (exp x))

simplify1.3s

Counts: 104 → 104

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (+ (* (exp x) (exp x)) 1) (exp x))))
0.2b	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (+ (* (exp x) (exp x)) 1) (exp x)))
0.2b	(- (+ (* (exp x) (exp x)) 1) (exp x))
0.0b	(* (exp x) (exp x))

rewrite484.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
33×	`add-cube-cbrt`
31×	`times-frac`
21×	`sqrt-prod`
18×	`exp-prod`
12×	`pow1`
9×	`add-log-exp`
8×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3--` `swap-sqr` `associate-r` `associate-l` `flip--` `associate-/l*`
2×	`rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `sqrt-div` `div-exp` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

Slowest

170.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (+ (* (exp x) (exp x)) 1) (exp x)))
144.0ms	(- (+ (* (exp x) (exp x)) 1) (exp x))
142.0ms	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (+ (* (exp x) (exp x)) 1) (exp x))))
25.0ms	(* (exp x) (exp x))

series337.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

173.0ms	(sqrt (/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (+ (* (exp x) (exp x)) 1) (exp x))))
102.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (+ (* (exp x) (exp x)) 1) (exp x)))
38.0ms	(- (+ (* (exp x) (exp x)) 1) (exp x))
23.0ms	(* (exp x) (exp x))

simplify1.8s

Counts: 138 → 138

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.9s	6751×	body	10240	exit
2.0s	12680×	body	80	nan
898.0ms	7468×	body	80	valid
510.0ms	674×	body	160	valid