Details

sample54.0ms

Algorithm

intervals

Results

18.0ms	100×	body	1280	valid
11.0ms	87×	body	640	valid
5.0ms	361×	pre	80	true
3.0ms	43×	body	320	valid
2.0ms	115×	body	80	valid
1.0ms	16×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (exp x) 1.0)

rewrite11.0ms

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:

10.0ms

(- (exp x) 1.0)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(- (exp x) 1.0)

simplify2.2s

Counts: 17 → 17

prune63.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite446.0ms

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:

436.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series128.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
26.0ms	(* x 1/6)

simplify781.0ms

Counts: 55 → 55

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
4.4b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite302.0ms

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:

28.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
186.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
9.0ms	(pow (exp x) 3)
57.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series277.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
136.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
30.0ms	(pow (exp x) 3)
66.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify1.4s

Counts: 205 → 205

prune638.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ (pow (exp x) 6) (- (pow 1.0 6))) (+ (pow (exp x) 3) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
0.1b	(pow (exp x) 6)
4.3b	(+ (pow (exp x) 6) (- (pow 1.0 6)))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

598×	`*-un-lft-identity`
396×	`times-frac`
231×	`distribute-lft-out`
176×	`unpow-prod-down`
136×	`add-sqr-sqrt` `add-cube-cbrt`
99×	`cube-prod`
74×	`distribute-rgt-neg-in`
60×	`associate-/l*`
24×	`sum-cubes`
10×	`associate-/r/` `add-cbrt-cube`
9×	`add-exp-log`
8×	`pow-pow` `add-log-exp`
6×	`pow1` `pow-unpow` `exp-prod` `flip3-+` `div-sub` `flip-+`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`neg-sub0` `pow-to-exp` `associate-+r-` `unsub-neg` `pow-exp` `sum-log` `sqr-pow`
1×	`+-commutative` `cube-mult` `frac-2neg` `unpow3` `neg-log` `clear-num` `associate-/l/` `rem-cube-cbrt`

Counts

4 → 327

Calls

4 calls:

310.0ms	(/ (/ (+ (pow (exp x) 6) (- (pow 1.0 6))) (+ (pow (exp x) 3) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
9.0ms	(pow (exp x) 3)
9.0ms	(pow (exp x) 6)
31.0ms	(+ (pow (exp x) 6) (- (pow 1.0 6)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ (/ (+ (pow (exp x) 6) (- (pow 1.0 6))) (+ (pow (exp x) 3) (pow 1.0 3))) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
29.0ms	(pow (exp x) 3)
52.0ms	(pow (exp x) 6)
71.0ms	(+ (pow (exp x) 6) (- (pow 1.0 6)))

simplify2.2s

Counts: 339 → 339

prune926.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes42.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.1s

end0.0ms

sample2.1s

Algorithm

intervals

Results

924.0ms	3464×	body	1280	valid
385.0ms	2451×	body	640	valid
179.0ms	11864×	pre	80	true
111.0ms	1261×	body	320	valid
83.0ms	4051×	body	80	valid
67.0ms	637×	body	160	valid