Details

sample150.0ms

Algorithm

intervals

Results

102.0ms	180×	body	1280	valid
15.0ms	283×	body	80	valid
11.0ms	35×	body	640	valid
6.0ms	29×	body	320	valid
1.0ms	8×	body	160	valid

simplify78.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

78.0ms

(+ (- (exp x) 2) (exp (- x)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize22.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(- (exp x) 2)
0.0b	(/ -1 (exp x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log` `distribute-lft-out--`
3×	`pow1` `associate-/r` `sub-neg` `flip3--` `insert-posit16` `flip--` `associate-/l` `difference-of-squares`
2×	`associate--l+` `frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 66

Calls

3 calls:

Slowest

70.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
8.0ms	(- (exp x) 2)
5.0ms	(/ -1 (exp x))

series119.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
16.0ms	(/ -1 (exp x))
13.0ms	(- (exp x) 2)

simplify2.4s

Counts

53 → 75

Calls

53 calls:

Slowest

350.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
275.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
228.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
203.0ms	(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
173.0ms	(/ (exp (- (exp x) 2)) (exp (/ -1 (exp x))))

prune614.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/12 (* (* x x) (* x x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* (* (* x x) (* x x)) (* x x)) 1/360)

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

297×	`pow1`
101×	`pow-prod-down`
99×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
71×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 203

Calls

4 calls:

Slowest

347.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
65.0ms	(* 1/12 (* (* x x) (* x x)))
33.0ms	(* (* x x) (* x x))
30.0ms	(* (* x x) (* x x))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(* 1/12 (* (* x x) (* x x)))
66.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
50.0ms	(* (* x x) (* x x))
42.0ms	(* (* x x) (* x x))

simplify15.4s

Counts

202 → 215

Calls

202 calls:

Slowest

725.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
557.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
490.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
462.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)
447.0ms	(* (* (* (* x x) (* x x)) (* x x)) 1/360)

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

3.4b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(- (exp x) 2)
0.0b	(/ -1 (exp x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log` `distribute-lft-out--`
3×	`pow1` `associate-/r` `sub-neg` `flip3--` `insert-posit16` `flip--` `associate-/l` `difference-of-squares`
2×	`associate--l+` `frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 66

Calls

3 calls:

Slowest

53.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
13.0ms	(- (exp x) 2)
10.0ms	(/ -1 (exp x))

series125.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

95.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
17.0ms	(/ -1 (exp x))
13.0ms	(- (exp x) 2)

simplify2.6s

Counts

53 → 75

Calls

53 calls:

Slowest

640.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
350.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
215.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
211.0ms	(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
162.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune539.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (- (exp x) 2) (/ -1 (exp x)))
3.4b	(log (exp (- (- (exp x) 2) (/ -1 (exp x)))))
0.0b	(- (exp x) 2)
0.0b	(/ -1 (exp x))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`times-frac` `add-log-exp`
8×	`log-pow`
7×	`log-prod` `exp-prod` `distribute-lft-out--`
6×	`add-cbrt-cube`
5×	`pow1` `sub-neg` `add-exp-log` `difference-of-squares`
4×	`diff-log` `exp-sum` `associate--l+` `insert-posit16`
3×	`associate-/r` `flip3--` `flip--` `associate-/l`
2×	`frac-sub`
1×	`associate--l-` `cbrt-undiv` `log-div` `clear-num` `frac-2neg` `exp-diff` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 91

Calls

4 calls:

Slowest

133.0ms	(log (exp (- (- (exp x) 2) (/ -1 (exp x)))))
71.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
8.0ms	(- (exp x) 2)
5.0ms	(/ -1 (exp x))

series233.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
82.0ms	(log (exp (- (- (exp x) 2) (/ -1 (exp x)))))
24.0ms	(/ -1 (exp x))
21.0ms	(- (exp x) 2)

simplify3.3s

Counts

72 → 103

Calls

72 calls:

Slowest

300.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
278.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
202.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
196.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
189.0ms	(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

4.0s	5639×	body	1280	valid
630.0ms	8135×	body	80	valid
531.0ms	1249×	body	640	valid
140.0ms	638×	body	320	valid
131.0ms	324×	body	160	valid