Details

sample594.0ms

Algorithm

intervals

Results

268.0ms	236×	body	80	valid
198.0ms	207×	body	10240	exit
36.0ms	429×	body	80	nan
6.0ms	25×	body	160	valid

simplify321.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

321.0ms

(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp x) 1)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

Slowest

13.0ms

(+ (exp x) 1)

series17.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

17.0ms

(+ (exp x) 1)

simplify128.0ms

Counts

5 → 16

Calls

5 calls:

Slowest

89.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
13.0ms	(+ (exp x) 1)
11.0ms	(* (exp (exp x)) (exp 1))
7.0ms	(+ (exp x) 1)
7.0ms	(+ (exp x) 1)

prune114.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

5.3b	(- (* 1 1) (* (exp x) 1))
0.1b	(pow (exp x) 3)
0.1b	(* (exp x) (exp x))
0.1b	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

21×	`exp-prod`
20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
11×	`add-log-exp`
7×	`add-cbrt-cube`
4×	`pow-pow` `pow-prod-down` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down` `cube-prod` `swap-sqr` `associate-r` `associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`pow2` `cube-mult` `pow-to-exp` `+-commutative` `associate-+r-` `flip3-+` `pow-plus` `flip3--` `distribute-rgt-out--` `unpow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

Slowest

43.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
16.0ms	(* (exp x) (exp x))
10.0ms	(- (* 1 1) (* (exp x) 1))
3.0ms	(pow (exp x) 3)

series132.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

42.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
40.0ms	(pow (exp x) 3)
26.0ms	(* (exp x) (exp x))
24.0ms	(- (* 1 1) (* (exp x) 1))

simplify2.3s

Counts

71 → 104

Calls

71 calls:

Slowest

288.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))
253.0ms	(* (exp (* (exp x) (exp x))) (exp (- (* 1 1) (* (exp x) 1))))
217.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
171.0ms	(- (+ (pow (exp x) 2) 1) (exp x))
169.0ms	(- (+ (pow (exp x) 2) 1) (exp x))

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

5.1b	(- (* (* 1 1) (* 1 1)) (* (* (exp x) 1) (* (exp x) 1)))
0.1b	(pow (exp x) 3)
0.1b	(* (exp x) (exp x))
0.1b	(* (* (exp x) 1) (* (exp x) 1))

rewrite602.0ms

Algorithm

rewrite-expression-head

Rules

51×	`pow1`
22×	`prod-exp`
21×	`exp-prod` `pow-prod-down`
20×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-exp-log`
9×	`cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
6×	`1-exp` `add-log-exp`
4×	`pow-pow` `swap-sqr` `associate-r` `associate-l` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down` `pow-plus` `cube-prod`
2×	`pow2` `*-commutative`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

Slowest

510.0ms	(* (* (exp x) 1) (* (exp x) 1))
60.0ms	(- (* (* 1 1) (* 1 1)) (* (* (exp x) 1) (* (exp x) 1)))
25.0ms	(* (exp x) (exp x))
3.0ms	(pow (exp x) 3)

series109.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

42.0ms	(- (* (* 1 1) (* 1 1)) (* (* (exp x) 1) (* (exp x) 1)))
35.0ms	(pow (exp x) 3)
18.0ms	(* (* (exp x) 1) (* (exp x) 1))
14.0ms	(* (exp x) (exp x))

simplify3.2s

Counts

105 → 128

Calls

105 calls:

Slowest

292.0ms	(* (* (* (* (exp x) 1) (* (exp x) 1)) (* (exp x) 1)) (* (* (* (exp x) (exp x)) (exp x)) (* (* 1 1) 1)))
278.0ms	(* (* (* (* (exp x) (exp x)) (exp x)) (* (* 1 1) 1)) (* (* (* (exp x) (exp x)) (exp x)) (* (* 1 1) 1)))
275.0ms	(/ (exp (* (* 1 1) (* 1 1))) (exp (* (* (exp x) 1) (* (exp x) 1))))
238.0ms	(* (* (* (* (exp x) 1) (* (exp x) 1)) (* (exp x) 1)) (* (* (* (exp x) 1) (* (exp x) 1)) (* (exp x) 1)))
213.0ms	(* (* (* (* (exp x) (exp x)) (exp x)) (* (* 1 1) 1)) (* (* (* (exp x) 1) (* (exp x) 1)) (* (exp x) 1)))

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

5.1b	(- (* (* 1 1) (* 1 1)) (cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x))))))
0.1b	(cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x)))))
0.1b	(pow (exp x) 3)
0.1b	(* (exp x) (exp x))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `exp-prod`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
7×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`pow-pow` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down` `cube-prod` `swap-sqr` `associate-r` `associate-l`
2×	`cbrt-prod` `cube-unmult` `difference-of-squares`
1×	`pow2` `cube-mult` `pow-to-exp` `sub-neg` `pow-plus` `flip3--` `pow1/3` `diff-log` `unpow3` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip--` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

Slowest

207.0ms	(cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x)))))
33.0ms	(- (* (* 1 1) (* 1 1)) (cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x))))))
25.0ms	(* (exp x) (exp x))
6.0ms	(pow (exp x) 3)

series111.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

38.0ms	(pow (exp x) 3)
36.0ms	(- (* (* 1 1) (* 1 1)) (cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x))))))
20.0ms	(* (exp x) (exp x))
17.0ms	(cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x)))))

simplify3.3s

Counts

71 → 100

Calls

71 calls:

Slowest

412.0ms	(+ (* 1 1) (sqrt (cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x)))))))
394.0ms	(/ (exp (* (* 1 1) (* 1 1))) (exp (cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x)))))))
357.0ms	(- (* 1 1) (sqrt (cbrt (* (* (exp x) (* (exp x) (exp x))) (* (exp x) (* (exp x) (exp x)))))))
248.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
204.0ms	(- (+ (* 2 x) (+ (* 4/3 (pow x 3)) (* 2 (pow x 2)))))

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.9s	6701×	body	10240	exit
2.3s	12558×	body	80	nan
980.0ms	7358×	body	80	valid
235.0ms	759×	body	160	valid