Details

sample185.0ms

Algorithm

intervals

Results

133.0ms	194×	body	1280	valid
18.0ms	262×	body	80	valid
14.0ms	33×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	12×	body	160	valid

simplify188.0ms

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.9b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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

52.0ms	(+ (- (exp x) 2) (exp (- x)))
10.0ms	(- (exp x) 2)

series92.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

78.0ms	(+ (- (exp x) 2) (exp (- x)))
14.0ms	(- (exp x) 2)

simplify964.0ms

Counts: 73 → 73

prune573.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

848×	`pow1`
370×	`pow-prod-up`
175×	`pow-prod-down`
153×	`pow-sqr`
140×	`pow-plus`
99×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`cube-unmult` `fma-udef`

Counts

4 → 337

Calls

4 calls:

Slowest

70.0ms	(* (* x x) (* (* x x) (* x x)))
36.0ms	(* (* x x) (* x x))
25.0ms	(* (* x x) (* x x))
0.0ms	(fma 1/360 (* (* x x) (* (* x x) (* x x))) (fma (* (* x x) (* x x)) 1/12 (* x x)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

98.0ms	(fma 1/360 (* (* x x) (* (* x x) (* x x))) (fma (* (* x x) (* x x)) 1/12 (* x x)))
58.0ms	(* (* x x) (* (* x x) (* x x)))
42.0ms	(* (* x x) (* x x))
37.0ms	(* (* x x) (* x x))

simplify2.1s

Counts: 349 → 349

prune3.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

4.2b	(+ (exp x) (fma (fma (exp x) (exp x) -4) (exp x) 2))
0.0b	(fma (fma (exp x) (exp x) -4) (exp x) 2)
0.0b	(/ (+ (exp x) (fma (fma (exp x) (exp x) -4) (exp x) 2)) (* (+ (exp x) 2) (exp x)))
0.0b	(* (+ (exp x) 2) (exp x))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cbrt-cube`
9×	`add-exp-log` `add-cube-cbrt`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `times-frac` `associate-l` `associate-l/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `associate-/l`
3×	`fma-def` `associate-r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `fma-udef` `associate-/l/`
1×	`+-commutative` `associate-+r+` `clear-num` `associate-/r` `sum-log` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

52.0ms	(/ (+ (exp x) (fma (fma (exp x) (exp x) -4) (exp x) 2)) (* (+ (exp x) 2) (exp x)))
30.0ms	(* (+ (exp x) 2) (exp x))
21.0ms	(+ (exp x) (fma (fma (exp x) (exp x) -4) (exp x) 2))
0.0ms	(fma (fma (exp x) (exp x) -4) (exp x) 2)

series399.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

232.0ms	(/ (+ (exp x) (fma (fma (exp x) (exp x) -4) (exp x) 2)) (* (+ (exp x) 2) (exp x)))
75.0ms	(+ (exp x) (fma (fma (exp x) (exp x) -4) (exp x) 2))
58.0ms	(fma (fma (exp x) (exp x) -4) (exp x) 2)
34.0ms	(* (+ (exp x) 2) (exp x))

simplify2.5s

Counts: 96 → 96

prune974.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

4.2b	(+ (exp x) (+ (* (fma (exp x) (exp x) -4) (exp x)) 2))
0.0b	(+ (* (fma (exp x) (exp x) -4) (exp x)) 2)
0.0b	(* (fma (exp x) (exp x) -4) (exp x))
0.0b	(/ (+ (exp x) (+ (* (fma (exp x) (exp x) -4) (exp x)) 2)) (* (+ (exp x) 2) (exp x)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-log-exp`
9×	`add-exp-log` `add-cube-cbrt`
6×	`pow1`
4×	`expm1-log1p-u` `sum-log` `fma-def` `flip3-+` `times-frac` `flip-+` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-r` `associate-l` `distribute-lft-out`
2×	`cbrt-undiv` `+-commutative` `div-exp` `associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`associate-+r+` `clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

Slowest

119.0ms	(/ (+ (exp x) (+ (* (fma (exp x) (exp x) -4) (exp x)) 2)) (* (+ (exp x) 2) (exp x)))
24.0ms	(+ (exp x) (+ (* (fma (exp x) (exp x) -4) (exp x)) 2))
24.0ms	(+ (* (fma (exp x) (exp x) -4) (exp x)) 2)
19.0ms	(* (fma (exp x) (exp x) -4) (exp x))

series465.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

266.0ms	(/ (+ (exp x) (+ (* (fma (exp x) (exp x) -4) (exp x)) 2)) (* (+ (exp x) 2) (exp x)))
101.0ms	(+ (exp x) (+ (* (fma (exp x) (exp x) -4) (exp x)) 2))
53.0ms	(+ (* (fma (exp x) (exp x) -4) (exp x)) 2)
44.0ms	(* (fma (exp x) (exp x) -4) (exp x))

simplify794.0ms

Counts: 98 → 98

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes60.0ms

Accuracy

0% (0.6b remaining)

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

bsearch1.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.8s	5696×	body	1280	valid
657.0ms	7947×	body	80	valid
530.0ms	581×	body	320	valid
446.0ms	1238×	body	640	valid
42.0ms	314×	body	160	valid