Details

sample196.0ms

Algorithm

intervals

Results

122.0ms	174×	body	1280	valid
17.0ms	249×	body	80	valid
17.0ms	42×	body	640	valid
6.0ms	22×	body	320	valid
2.0ms	10×	body	160	valid

simplify41.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

41.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize11.0ms

Local error

Found 3 expressions with local error:

3.5b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2)

rewrite70.0ms

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

55.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
9.0ms	(- (exp x) 2)
5.0ms	(/ -1 (exp x))

series109.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

84.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
12.0ms	(- (exp x) 2)
12.0ms	(/ -1 (exp x))

simplify2.0s

Counts

53 → 75

Calls

53 calls:

Slowest

348.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
247.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
174.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
146.0ms	(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
138.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune574.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

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))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

909×	`pow1`
378×	`pow-prod-up`
203×	`pow-prod-down`
163×	`pow-plus`
159×	`pow-sqr`
102×	`pow2`
87×	`add-cbrt-cube` `add-exp-log`
60×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `associate-l`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`swap-sqr`
1×	`pow3`

Counts

4 → 366

Calls

4 calls:

Slowest

117.0ms	(* (* (* x x) (* x x)) (* x x))
78.0ms	(* 1/12 (* (* x x) (* x x)))
28.0ms	(* (* x x) (* x x))
22.0ms	(* (* x x) (* x x))

series232.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(* 1/12 (* (* x x) (* x x)))
57.0ms	(* (* x x) (* x x))
57.0ms	(* (* x x) (* x x))
46.0ms	(* (* (* x x) (* x x)) (* x x))

simplify15.9s

Counts

425 → 378

Calls

425 calls:

Slowest

1.2s	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x)))
879.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* x x) x)))
706.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
663.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
554.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

2.0b	(log (exp (* (* (* x x) (* x x)) (* x x))))
0.1b	(* 1/12 (* (* x x) (* x x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

245×	`pow1`
72×	`pow-prod-up`
59×	`pow-prod-down`
46×	`add-cbrt-cube` `add-exp-log`
44×	`pow-sqr`
36×	`pow-plus`
29×	`prod-exp` `cbrt-unprod`
26×	`pow2`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l` `add-log-exp`
4×	`insert-posit16`
3×	`log-prod` `associate-r` `log-pow` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 172

Calls

4 calls:

Slowest

82.0ms	(* 1/12 (* (* x x) (* x x)))
37.0ms	(* (* x x) (* x x))
23.0ms	(* (* x x) (* x x))
7.0ms	(log (exp (* (* (* x x) (* x x)) (* x x))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(* 1/12 (* (* x x) (* x x)))
60.0ms	(log (exp (* (* (* x x) (* x x)) (* x x))))
56.0ms	(* (* x x) (* x x))
35.0ms	(* (* x x) (* x x))

simplify7.2s

Counts

172 → 184

Calls

172 calls:

Slowest

675.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
558.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
469.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
429.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x)))
425.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

3.5b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2)

rewrite78.0ms

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

58.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
10.0ms	(- (exp x) 2)
9.0ms	(/ -1 (exp x))

series106.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

66.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
24.0ms	(- (exp x) 2)
17.0ms	(/ -1 (exp x))

simplify2.1s

Counts

53 → 75

Calls

53 calls:

Slowest

361.0ms	(/ (* (* -1 -1) -1) (* (* (exp x) (exp x)) (exp x)))
295.0ms	(- (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) -1))
198.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
145.0ms	(- (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) -1))
136.0ms	(/ (exp (- (exp x) 2)) (exp (/ -1 (exp x))))

prune545.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes44.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.5s	5710×	body	1280	valid
929.0ms	7969×	body	80	valid
433.0ms	1238×	body	640	valid
122.0ms	591×	body	320	valid
40.0ms	304×	body	160	valid