Details

sample157.0ms

Algorithm

intervals

Results

112.0ms	182×	body	1280	valid
15.0ms	275×	body	80	valid
11.0ms	34×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	17×	body	160	valid

simplify246.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.5b

localize32.0ms

Local error

Found 2 expressions with local error:

6.0b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite101.0ms

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

82.0ms	(+ (- (exp x) 2) (exp (- x)))
18.0ms	(- (exp x) 2)

series109.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(+ (- (exp x) 2) (exp (- x)))
22.0ms	(- (exp x) 2)

simplify858.0ms

Counts: 73 → 73

prune733.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 6) 1/360 (* x x))
0.0b	(fma (pow x 4) 1/12 (fma (pow x 6) 1/360 (* x x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

Slowest

0.0ms	(fma (pow x 6) 1/360 (* x x))
0.0ms	(fma (pow x 4) 1/12 (fma (pow x 6) 1/360 (* x x)))

series280.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

188.0ms	(fma (pow x 6) 1/360 (* x x))
91.0ms	(fma (pow x 4) 1/12 (fma (pow x 6) 1/360 (* x x)))

simplify1.1s

Counts: 28 → 28

prune404.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (pow x 4) 1/12 (* (pow x 6) 1/360))
0.1b	(* (pow x 6) 1/360)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`associate-l` `add-exp-log`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-r` `prod-exp` `unswap-sqr`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

Slowest

17.0ms	(* (pow x 6) 1/360)
1.0ms	(fma (pow x 4) 1/12 (* (pow x 6) 1/360))

series323.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

248.0ms	(fma (pow x 4) 1/12 (* (pow x 6) 1/360))
74.0ms	(* (pow x 6) 1/360)

simplify3.1s

Counts: 45 → 45

prune575.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

5.5b	(+ (/ 1 (exp x)) (- (exp x) 2))
0.0b	(/ 1 (exp x))
0.0b	(- (exp x) 2)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
18×	`times-frac` `prod-diff`
13×	`fma-def`
11×	`associate-+r+`
10×	`add-log-exp`
5×	`add-cbrt-cube`
4×	`pow1` `add-exp-log` `div-inv` `pow-flip` `distribute-lft-out`
3×	`expm1-log1p-u` `exp-prod` `associate-/r` `fma-neg` `insert-posit16` `log1p-expm1-u` `associate-/l` `distribute-lft-out--`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `frac-add` `flip--`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `1-exp` `flip-+` `inv-pow` `difference-of-squares`

Counts

3 → 112

Calls

3 calls:

Slowest

30.0ms	(+ (/ 1 (exp x)) (- (exp x) 2))
9.0ms	(- (exp x) 2)
6.0ms	(/ 1 (exp x))

series112.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(+ (/ 1 (exp x)) (- (exp x) 2))
21.0ms	(- (exp x) 2)
14.0ms	(/ 1 (exp x))

simplify1.0s

Counts: 121 → 121

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch3.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.7s	5672×	body	1280	valid
986.0ms	1208×	body	640	valid
572.0ms	7885×	body	80	valid
141.0ms	636×	body	320	valid
42.0ms	298×	body	160	valid