Details

sample181.0ms

Algorithm

intervals

Results

132.0ms	197×	body	1280	valid
16.0ms	265×	body	80	valid
11.0ms	27×	body	640	valid
6.0ms	23×	body	320	valid
1.0ms	4×	body	160	valid

simplify75.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

75.0ms

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize22.0ms

Local error

Found 3 expressions with local error:

2.7b	(- (- (exp x) 2) (/ -1 (exp x)))
0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt` `*-un-lft-identity`
83×	`prod-diff`
73×	`add-cube-cbrt`
55×	`times-frac`
18×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate--l+`
10×	`add-log-exp`
8×	`fma-neg`
6×	`div-inv`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `sub-neg` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l`
2×	`frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

3 → 163

Calls

3 calls:

Slowest

63.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
9.0ms	(- (exp x) 2)
5.0ms	(/ -1 (exp x))

series118.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

80.0ms	(- (- (exp x) 2) (/ -1 (exp x)))
20.0ms	(- (exp x) 2)
17.0ms	(/ -1 (exp x))

simplify29.2s

Counts

215 → 172

Calls

215 calls:

Slowest

529.0ms	(fma 1 (- (exp x) 2) (- (* (/ -1 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))))
492.0ms	(fma 1 (- (exp x) 2) (- (* (/ -1 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))))
479.0ms	(fma 1 (- (exp x) 2) (- (* (/ (cbrt -1) (exp x)) (/ (* (cbrt -1) (cbrt -1)) 1))))
466.0ms	(fma 1 (- (exp x) 2) (- (* (/ (cbrt -1) (exp x)) (/ (* (cbrt -1) (cbrt -1)) 1))))
460.0ms	(fma (* (cbrt (- (exp x) 2)) (cbrt (- (exp x) 2))) (cbrt (- (exp x) 2)) (- (* (/ -1 (cbrt (exp x))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))))

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite154.0ms

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

81.0ms	(* (* (* x x) (* x x)) 1/360)
38.0ms	(* (* x x) (* x x))
32.0ms	(* (* x x) (* x x))
0.0ms	(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(fma (* (* (* x x) (* x x)) 1/360) (* x x) (fma (* (* x x) (* x x)) 1/12 (* x x)))
78.0ms	(* (* (* x x) (* x x)) 1/360)
44.0ms	(* (* x x) (* x x))
42.0ms	(* (* x x) (* x x))

simplify8.0s

Counts

166 → 186

Calls

166 calls:

Slowest

512.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
460.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
431.0ms	(* (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (* (* 1/360 1/360) 1/360))
404.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))
402.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (exp (* (* (* x x) (* x x)) 1/360)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.0b	(* (* (* x x) (* x x)) 1/360)

rewrite193.0ms

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

104.0ms	(* (* (* x x) (* x x)) 1/360)
44.0ms	(* (* x x) (* x x))
33.0ms	(* (* x x) (* x x))
6.0ms	(log (exp (* (* (* x x) (* x x)) 1/360)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(log (exp (* (* (* x x) (* x x)) 1/360)))
54.0ms	(* (* (* x x) (* x x)) 1/360)
50.0ms	(* (* x x) (* x x))
49.0ms	(* (* x x) (* x x))

simplify8.0s

Counts

170 → 192

Calls

170 calls:

Slowest

518.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
433.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
401.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
395.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
393.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x)))

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.1b	(log (exp (* (* x x) (* x x))))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.0b	(* (* (* x x) (* x x)) 1/360)

rewrite189.0ms

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

111.0ms	(* (* (* x x) (* x x)) 1/360)
37.0ms	(* (* x x) (* x x))
29.0ms	(* (* x x) (* x x))
5.0ms	(log (exp (* (* x x) (* x x))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* (* x x) (* x x)) 1/360)
58.0ms	(* (* x x) (* x x))
43.0ms	(* (* x x) (* x x))
41.0ms	(log (exp (* (* x x) (* x x))))

simplify8.1s

Counts

172 → 192

Calls

172 calls:

Slowest

463.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
453.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 1/360 1/360) 1/360))
427.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))
421.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
419.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (* (* 1/360 1/360) 1/360))

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.9s	5683×	body	1280	valid
533.0ms	1261×	body	640	valid
462.0ms	8150×	body	80	valid
127.0ms	596×	body	320	valid
39.0ms	299×	body	160	valid