Details

sample82.0ms

Algorithm

intervals

Results

34.0ms	112×	body	1280	valid
14.0ms	71×	body	640	valid
6.0ms	374×	pre	80	true
5.0ms	46×	body	320	valid
4.0ms	124×	body	80	valid
2.0ms	21×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize6.0ms

Local error

Found 1 expressions with local error:

6.0b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- (exp x) 1.0)

simplify2.3s

Counts: 17 → 17

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

37.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

series113.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms	(* x 1/6)

simplify626.0ms

Counts: 55 → 55

prune131.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(pow (exp x) 3)
0.3b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
5.9b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`associate-+l+` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 193

Calls

4 calls:

39.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
7.0ms	(pow (exp x) 3)
158.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
60.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series269.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
30.0ms	(pow (exp x) 3)
139.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
47.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify1.4s

Counts: 205 → 205

prune628.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow 1.0 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
0.3b	(/ (pow (exp x) 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
5.8b	(- (/ (pow (exp x) 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) (/ (pow 1.0 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))

rewrite782.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
142×	`times-frac`
100×	`*-un-lft-identity`
68×	`add-cube-cbrt`
49×	`unpow-prod-down` `cube-prod`
25×	`difference-of-squares`
24×	`associate-/l*`
19×	`sqr-pow`
16×	`distribute-lft-out--`
13×	`add-exp-log`
9×	`cube-mult` `unpow3` `add-cbrt-cube`
8×	`associate-/r/`
6×	`div-exp` `associate-/r*` `add-log-exp`
5×	`pow1`
4×	`pow-pow` `flip3-+` `flip-+` `div-inv`
3×	`pow-to-exp` `pow-unpow` `exp-prod` `distribute-rgt-out--` `pow-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div` `rem-cube-cbrt`

Counts

4 → 218

Calls

4 calls:

55.0ms	(/ (pow 1.0 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
7.0ms	(pow (exp x) 3)
111.0ms	(/ (pow (exp x) 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
594.0ms	(- (/ (pow (exp x) 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) (/ (pow 1.0 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))

series476.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ (pow 1.0 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
39.0ms	(pow (exp x) 3)
104.0ms	(/ (pow (exp x) 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
224.0ms	(- (/ (pow (exp x) 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) (/ (pow 1.0 3) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))))

simplify1.9s

Counts: 230 → 230

prune784.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes45.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify946.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

798.0ms	3438×	body	1280	valid
513.0ms	2478×	body	640	valid
229.0ms	11919×	pre	80	true
109.0ms	1237×	body	320	valid
86.0ms	4124×	body	80	valid
36.0ms	642×	body	160	valid