Details

sample156.0ms

Algorithm

intervals

Results

95.0ms	177×	body	1280	valid
17.0ms	18×	body	320	valid
15.0ms	300×	body	80	valid
14.0ms	44×	body	640	valid
1.0ms	8×	body	160	valid

simplify51.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

51.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.5b

localize24.0ms

Local error

Found 2 expressions with local error:

3.8b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

55.0ms	(+ (- (exp x) 2) (exp (- x)))
16.0ms	(- (exp x) 2)

series108.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(+ (- (exp x) 2) (exp (- x)))
21.0ms	(- (exp x) 2)

simplify2.3s

Counts

25 → 43

Calls

25 calls:

Slowest

381.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
283.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
220.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
179.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp 0)))
155.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune421.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite312.0ms

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

134.0ms	(* (* (* x x) (* x x)) (* x x))
94.0ms	(* 1/12 (* (* x x) (* x x)))
34.0ms	(* (* x x) (* x x))
31.0ms	(* (* x x) (* x x))

series226.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(* 1/12 (* (* x x) (* x x)))
60.0ms	(* (* x x) (* x x))
54.0ms	(* (* (* x x) (* x x)) (* x x))
44.0ms	(* (* x x) (* x x))

simplify16.9s

Counts

425 → 378

Calls

425 calls:

Slowest

1.4s	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) (* x x)) (* x x)))
1.0s	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* x x) x)))
823.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
574.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
446.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))

prune2.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

2.8b	(+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2)
0.0b	(* (exp x) (exp x))
0.0b	(* (+ (exp x) 2) (exp x))
0.0b	(+ (exp x) 2)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`exp-prod`
16×	`add-cube-cbrt`
13×	`pow1`
8×	`add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
5×	`pow-prod-down` `add-exp-log`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3-+` `swap-sqr` `flip-+`
2×	`+-commutative` `sum-log` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`pow2` `pow-plus`

Counts

4 → 82

Calls

4 calls:

Slowest

53.0ms	(* (+ (exp x) 2) (exp x))
46.0ms	(+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2)
26.0ms	(* (exp x) (exp x))
13.0ms	(+ (exp x) 2)

series184.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2)
38.0ms	(* (+ (exp x) 2) (exp x))
23.0ms	(* (exp x) (exp x))
9.0ms	(+ (exp x) 2)

simplify3.2s

Counts

65 → 94

Calls

65 calls:

Slowest

657.0ms	(* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x)))
326.0ms	(* (- (* (exp x) (exp x)) (* 2 2)) (exp x))
317.0ms	(* (exp (* (- (* (exp x) (exp x)) 3) (exp x))) (exp 2))
273.0ms	(- (+ (pow (exp x) 3) 2) (* 3 (exp x)))
263.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))

prune792.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

2.8b	(+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2)
0.0b	(* (exp x) (exp x))
0.0b	(* (+ (exp x) 2) (sqrt (exp x)))
0.0b	(* (* (+ (exp x) 2) (sqrt (exp x))) (sqrt (exp x)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`pow1` `exp-prod`
15×	`associate-r`
13×	`add-cbrt-cube`
11×	`add-exp-log`
8×	`associate-l` `pow-prod-down`
7×	`sqrt-prod`
6×	`associate-*l/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3-+` `swap-sqr` `*-commutative` `flip-+` `unswap-sqr`
1×	`pow2` `+-commutative` `sum-log` `pow-plus` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

Slowest

83.0ms	(* (* (+ (exp x) 2) (sqrt (exp x))) (sqrt (exp x)))
52.0ms	(* (+ (exp x) 2) (sqrt (exp x)))
34.0ms	(+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2)
19.0ms	(* (exp x) (exp x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(+ (* (- (* (exp x) (exp x)) 3) (exp x)) 2)
33.0ms	(* (+ (exp x) 2) (sqrt (exp x)))
29.0ms	(* (exp x) (exp x))
23.0ms	(* (* (+ (exp x) 2) (sqrt (exp x))) (sqrt (exp x)))

simplify4.6s

Counts

83 → 109

Calls

83 calls:

Slowest

870.0ms	(* (+ (pow (exp x) 3) (pow 2 3)) (sqrt (exp x)))
366.0ms	(* (exp (* (- (* (exp x) (exp x)) 3) (exp x))) (exp 2))
292.0ms	(* (* (- (* (exp x) (exp x)) (* 2 2)) (sqrt (exp x))) (sqrt (exp x)))
266.0ms	(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
254.0ms	(- (+ (pow (exp x) 3) 2) (* 3 (exp x)))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.5b remaining)

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

bsearch3.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

4.0s	5746×	body	1280	valid
558.0ms	8045×	body	80	valid
485.0ms	1205×	body	640	valid
220.0ms	594×	body	320	valid
89.0ms	300×	body	160	valid