Details

sample156.0ms

Algorithm

intervals

Results

96.0ms	172×	body	1280	valid
28.0ms	40×	body	640	valid
13.0ms	243×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	17×	body	160	valid

simplify39.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

39.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.5b

localize29.0ms

Local error

Found 2 expressions with local error:

5.9b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

Slowest

45.0ms	(+ (- (exp x) 2) (exp (- x)))
14.0ms	(- (exp x) 2)

series106.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

86.0ms	(+ (- (exp x) 2) (exp (- x)))
20.0ms	(- (exp x) 2)

simplify3.5s

Counts

57 → 73

Calls

57 calls:

Slowest

427.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
319.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
219.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp 0)))
208.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
186.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune639.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) (* x x))
0.2b	(* (* x x) (* x x))
0.1b	(* (* (* x x) (* x x)) 1/360)
0.0b	(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

244×	`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`
6×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`fma-udef`

Counts

4 → 174

Calls

4 calls:

Slowest

103.0ms	(* (* (* x x) (* x x)) 1/360)
31.0ms	(* (* x x) (* x x))
23.0ms	(* (* x x) (* x x))
0.0ms	(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

92.0ms	(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))
71.0ms	(* (* (* x x) (* x x)) 1/360)
60.0ms	(* (* x x) (* x x))
44.0ms	(* (* x x) (* x x))

simplify7.6s

Counts

166 → 186

Calls

166 calls:

Slowest

472.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
439.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
426.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
368.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
362.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (exp (* (* (* x x) (* x x)) 1/360)))
0.2b	(* (* x x) (* x x))
0.2b	(* (* x x) (* x x))
0.1b	(* (* (* x x) (* x x)) 1/360)

rewrite162.0ms

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-r` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `associate-l` `log-pow` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 180

Calls

4 calls:

Slowest

88.0ms	(* (* (* x x) (* x x)) 1/360)
31.0ms	(* (* x x) (* x x))
30.0ms	(* (* x x) (* x x))
9.0ms	(log (exp (* (* (* x x) (* x x)) 1/360)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* (* x x) (* x x)) 1/360)
63.0ms	(* (* x x) (* x x))
57.0ms	(log (exp (* (* (* x x) (* x x)) 1/360)))
35.0ms	(* (* x x) (* x x))

simplify7.8s

Counts

170 → 192

Calls

170 calls:

Slowest

494.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
476.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
466.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
456.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
441.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

5.9b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 67

Calls

2 calls:

Slowest

81.0ms	(+ (- (exp x) 2) (exp (- x)))
16.0ms	(- (exp x) 2)

series108.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

88.0ms	(+ (- (exp x) 2) (exp (- x)))
20.0ms	(- (exp x) 2)

simplify3.3s

Counts

57 → 73

Calls

57 calls:

Slowest

465.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
272.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) 1))
251.0ms	(+ (* (- (pow (exp x) 3) (pow 2 3)) (exp x)) (* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp 0)))
221.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) (* 1/360 (pow x 6))))
159.0ms	(* (+ (* (exp x) (exp x)) (+ (* 2 2) (* (exp x) 2))) (exp x))

prune579.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.5b remaining)

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

bsearch3.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.5s	5588×	body	1280	valid
907.0ms	8055×	body	80	valid
458.0ms	1293×	body	640	valid
448.0ms	315×	body	160	valid
175.0ms	653×	body	320	valid