Details

sample181.0ms

Algorithm

intervals

Results

96.0ms	115×	body	1280	valid
34.0ms	75×	body	640	valid
20.0ms	271×	body	80	valid
10.0ms	36×	body	320	valid
4.0ms	23×	body	160	valid

simplify87.0ms

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.6b

localize30.0ms

Local error

Found 1 expressions with local error:

6.6b	(- (exp x) (exp (- x)))

rewrite27.0ms

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

27.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

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

simplify2.0s

Counts: 32 → 32

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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

9.0ms	(* (pow x 5) 1/60)
6.0ms	(* 1/3 x)
0.0ms	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))
0.0ms	(fma x (* 1/3 x) 2)

series265.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(* (pow x 5) 1/60)
83.0ms	(fma x (* 1/3 x) 2)
81.0ms	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))
18.0ms	(* 1/3 x)

simplify3.5s

Counts: 83 → 83

prune733.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

41.0b	(cbrt (* (* (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)) (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))
0.4b	(* 1/3 x)
0.4b	(* 1/3 x)
0.4b	(* 1/3 x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 76

Calls

4 calls:

Slowest

29.0ms	(cbrt (* (* (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)) (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))
11.0ms	(* 1/3 x)
10.0ms	(* 1/3 x)
6.0ms	(* 1/3 x)

series140.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(cbrt (* (* (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)) (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))
28.0ms	(* 1/3 x)
19.0ms	(* 1/3 x)
18.0ms	(* 1/3 x)

simplify1.1s

Counts: 88 → 88

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

6.5b	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
0.1b	(* (exp x) (exp x))
0.0b	(* (exp (- x)) (exp (- x)))
0.0b	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))

rewrite180.0ms

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

96.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
36.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
27.0ms	(* (exp (- x)) (exp (- x)))
14.0ms	(* (exp x) (exp x))

series282.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
93.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
17.0ms	(* (exp (- x)) (exp (- x)))
14.0ms	(* (exp x) (exp x))

simplify786.0ms

Counts: 186 → 186

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.5b remaining)

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

bsearch2.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.6s	3383×	body	1280	valid
1.2s	2484×	body	640	valid
739.0ms	8221×	body	80	valid
375.0ms	1219×	body	320	valid
108.0ms	669×	body	160	valid