Details

sample239.0ms

Algorithm

intervals

Results

186.0ms	221×	body	10240	exit
19.0ms	198×	body	80	valid
10.0ms	21×	body	640	valid
7.0ms	21×	body	320	valid
4.0ms	18×	body	160	valid

simplify580.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

580.0ms

(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize19.0ms

Local error

Found 4 expressions with local error:

4.7b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
13×	`distribute-rgt-out` `distribute-rgt1-in`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log` `associate-/r/`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `distribute-lft-out--` `associate--r-`

Counts

4 → 170

Calls

4 calls:

Slowest

47.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
43.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
19.0ms	(* wj (exp wj))
18.0ms	(* wj (exp wj))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
64.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
47.0ms	(* wj (exp wj))
34.0ms	(* wj (exp wj))

simplify38.3s

Counts

211 → 182

Calls

211 calls:

Slowest

641.0ms	(fma 1 wj (- (* (/ (sqrt (- (* wj (exp wj)) x)) (+ (exp wj) (* wj (exp wj)))) (/ (sqrt (- (* wj (exp wj)) x)) 1))))
598.0ms	(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
585.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
532.0ms	(fma (- (/ (- (* wj (exp wj)) x) (+ 1 wj))) (/ 1 (exp wj)) (* (/ (- (* wj (exp wj)) x) (+ 1 wj)) (/ 1 (exp wj))))
500.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (fma x -2 wj) wj x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 11

Calls

1 calls:

Slowest

1.0ms

(fma (fma x -2 wj) wj x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

51.0ms

(fma (fma x -2 wj) wj x)

simplify449.0ms

Counts

3 → 14

Calls

3 calls:

Slowest

155.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))
148.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))
145.0ms	(- (+ (pow wj 2) x) (* 2 (* x wj)))

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x -2 wj) wj x))
0.6b	(cbrt (fma (fma x -2 wj) wj x))
0.6b	(cbrt (fma (fma x -2 wj) wj x))
0.5b	(* (cbrt (fma (fma x -2 wj) wj x)) (cbrt (fma (fma x -2 wj) wj x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (fma (fma x -2 wj) wj x)) (cbrt (fma (fma x -2 wj) wj x)))
2.0ms	(cbrt (fma (fma x -2 wj) wj x))
1.0ms	(cbrt (fma (fma x -2 wj) wj x))
1.0ms	(cbrt (fma (fma x -2 wj) wj x))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

429.0ms	(* (cbrt (fma (fma x -2 wj) wj x)) (cbrt (fma (fma x -2 wj) wj x)))
389.0ms	(cbrt (fma (fma x -2 wj) wj x))
374.0ms	(cbrt (fma (fma x -2 wj) wj x))
333.0ms	(cbrt (fma (fma x -2 wj) wj x))

simplify4.8s

Counts

65 → 97

Calls

65 calls:

Slowest

381.0ms	(- (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) x)) (* 1/6 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) wj))))
348.0ms	(- (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) x)) (* 1/6 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) wj))))
347.0ms	(- (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ 1 wj))) (* 2 (log (/ 1 x))))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ 1 wj))) (* 2 (log (/ 1 x))))))) x)) (* 1/3 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ 1 wj))) (* 2 (log (/ 1 x))))))) wj))))
343.0ms	(- (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 wj))))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 wj))))))) x)) (* 1/3 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 wj))))))) wj))))
304.0ms	(- (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) x)) (* 1/6 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) wj))))

prune877.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b	(exp (log (* (cbrt (fma (fma x -2 wj) wj x)) (cbrt (fma (fma x -2 wj) wj x)))))
0.6b	(cbrt (fma (fma x -2 wj) wj x))
0.6b	(cbrt (fma (fma x -2 wj) wj x))
0.6b	(cbrt (fma (fma x -2 wj) wj x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `exp-prod`
9×	`cbrt-prod` `pow1/3` `log-pow`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `exp-sum` `rem-exp-log`

Counts

4 → 66

Calls

4 calls:

Slowest

13.0ms	(exp (log (* (cbrt (fma (fma x -2 wj) wj x)) (cbrt (fma (fma x -2 wj) wj x)))))
1.0ms	(cbrt (fma (fma x -2 wj) wj x))
1.0ms	(cbrt (fma (fma x -2 wj) wj x))
1.0ms	(cbrt (fma (fma x -2 wj) wj x))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

466.0ms	(exp (log (* (cbrt (fma (fma x -2 wj) wj x)) (cbrt (fma (fma x -2 wj) wj x)))))
420.0ms	(cbrt (fma (fma x -2 wj) wj x))
397.0ms	(cbrt (fma (fma x -2 wj) wj x))
386.0ms	(cbrt (fma (fma x -2 wj) wj x))

simplify3.1s

Counts

35 → 78

Calls

35 calls:

Slowest

353.0ms	(- (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ 1 wj))) (* 2 (log (/ 1 x))))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ 1 wj))) (* 2 (log (/ 1 x))))))) x)) (* 1/3 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ 1 wj))) (* 2 (log (/ 1 x))))))) wj))))
340.0ms	(- (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 wj))))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 wj))))))) x)) (* 1/3 (/ (exp (* 1/3 (- (log 4) (+ (* 2 (log (/ -1 x))) (* 2 (log (/ -1 wj))))))) wj))))
301.0ms	(- (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) x)) (* 1/6 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) wj))))
299.0ms	(- (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) x)) (* 1/6 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) wj))))
292.0ms	(- (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) (+ (* 1/18 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) x)) (* 1/6 (/ (exp (* 1/3 (- (log -2) (+ (log (/ -1 x)) (log (/ -1 wj)))))) wj))))

prune759.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes104.0ms

Accuracy

62.7% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch54.0ms

end0.0ms

sample8.1s

Algorithm

intervals

Results

6.6s	7650×	body	10240	exit
612.0ms	6310×	body	80	valid
246.0ms	487×	body	640	valid
212.0ms	774×	body	320	valid
95.0ms	509×	body	160	valid