Details

sample162.0ms

Algorithm

intervals

Results

83.0ms	120×	body	1280	valid
33.0ms	80×	body	640	valid
19.0ms	266×	body	80	valid
8.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid

simplify75.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize17.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (exp x) (exp (- x)))

rewrite13.0ms

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

12.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

63.0ms

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

simplify1.9s

Counts: 32 → 32

prune256.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

Slowest

8.0ms	(* (pow x 5) 1/60)
5.0ms	(* 1/3 x)
0.0ms	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))

series167.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))
70.0ms	(* (pow x 5) 1/60)
19.0ms	(* 1/3 x)

simplify3.1s

Counts: 69 → 69

prune489.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
0.6b	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
0.6b	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
0.5b	(* (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))

rewrite10.0ms

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

7.0ms	(* (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))
1.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
1.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
1.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

192.0ms	(* (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))
167.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
161.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
159.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))

simplify998.0ms

Counts: 97 → 97

prune836.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

5.1b	(exp (log (* (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))))
0.6b	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
0.6b	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
0.6b	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))

rewrite23.0ms

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

20.0ms	(exp (log (* (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))))
1.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
1.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
1.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

236.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
211.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))
204.0ms	(exp (log (* (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))) (cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60))))))
182.0ms	(cbrt (fma x (fma x (* 1/3 x) 2) (* (pow x 5) 1/60)))

simplify800.0ms

Counts: 78 → 78

prune849.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.6b remaining)

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

bsearch2.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	3404×	body	1280	valid
1.4s	2494×	body	640	valid
615.0ms	8039×	body	80	valid
472.0ms	1253×	body	320	valid
94.0ms	586×	body	160	valid