Details

sample106.0ms

Algorithm

intervals

Results

50.0ms	114×	body	1280	valid
23.0ms	81×	body	640	valid
13.0ms	250×	body	80	valid
6.0ms	34×	body	320	valid
2.0ms	18×	body	160	valid

simplify115.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize21.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) (exp (- x)))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

Slowest

349.0ms

(- (exp x) (exp (- x)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

49.0ms

(- (exp x) (exp (- x)))

simplify2.0s

Counts: 32 → 32

prune240.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.1b	(* (pow x 5) 1/60)
0.0b	(fma x (* 1/3 x) 2)
0.0b	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

Slowest

16.0ms	(* (pow x 5) 1/60)
11.0ms	(* 1/3 x)
0.0ms	(fma x (* 1/3 x) 2)
0.0ms	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

80.0ms	(* (pow x 5) 1/60)
73.0ms	(fma x (* 1/3 x) 2)
72.0ms	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))
17.0ms	(* 1/3 x)

simplify3.4s

Counts: 83 → 83

prune862.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.0b	(fma x (* 1/3 x) 2)
0.0b	(* (fma x (* 1/3 x) 2) x)
0.0b	(fma (pow x 5) 1/60 (* (fma x (* 1/3 x) 2) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

Slowest

11.0ms	(* (fma x (* 1/3 x) 2) x)
11.0ms	(* 1/3 x)
0.0ms	(fma x (* 1/3 x) 2)
0.0ms	(fma (pow x 5) 1/60 (* (fma x (* 1/3 x) 2) x))

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(* (fma x (* 1/3 x) 2) x)
82.0ms	(fma (pow x 5) 1/60 (* (fma x (* 1/3 x) 2) x))
80.0ms	(fma x (* 1/3 x) 2)
18.0ms	(* 1/3 x)

simplify4.3s

Counts: 76 → 76

prune793.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
0.0b	(* (exp x) (exp x))
0.0b	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
0.0b	(* (exp (- x)) (exp (- x)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

94×	`exp-prod`
70×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
24×	`distribute-rgt-neg-in`
20×	`distribute-lft-neg-in`
19×	`pow-prod-down`
18×	`pow1`
17×	`pow-sqr` `pow-prod-up`
16×	`times-frac`
10×	`add-cbrt-cube`
8×	`neg-mul-1`
7×	`exp-neg`
6×	`neg-sub0` `exp-diff` `swap-sqr` `associate-r` `associate-l` `add-exp-log` `add-log-exp` `difference-of-squares`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`pow2` `pow-plus` `flip3--` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `un-div-inv` `flip-+` `div-inv`

Counts

4 → 174

Calls

4 calls:

Slowest

65.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
50.0ms	(* (exp (- x)) (exp (- x)))
22.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
22.0ms	(* (exp x) (exp x))

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
88.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
17.0ms	(* (exp (- x)) (exp (- x)))
14.0ms	(* (exp x) (exp x))

simplify699.0ms

Counts: 186 → 186

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	3410×	body	1280	valid
1.4s	2464×	body	640	valid
704.0ms	8308×	body	80	valid
347.0ms	1240×	body	320	valid
126.0ms	599×	body	160	valid