Details

sample89.0ms

Algorithm

intervals

Results

36.0ms	58×	body	1280	valid
18.0ms	40×	body	640	valid
13.0ms	132×	body	80	valid
7.0ms	22×	body	320	valid
1.0ms	4×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize28.0ms

Local error

Found 3 expressions with local error:

1.5b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

Slowest

87.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

87.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify1.3s

Counts: 159 → 159

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

1.5b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

Slowest

84.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))
7.0ms	(+ 1 (exp (* -2 x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
31.0ms	(/ 2 (+ 1 (exp (* -2 x))))
18.0ms	(+ 1 (exp (* -2 x)))

simplify1.2s

Counts: 159 → 159

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

21.3b	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
0.1b	(* x (* x x))
0.0b	(fma (pow x 5) 2/15 x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

Slowest

13.0ms	(* x (* x x))
0.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series231.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

131.0ms	(fma (pow x 5) 2/15 x)
64.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
35.0ms	(* x (* x x))

simplify2.0s

Counts: 58 → 58

prune534.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

23.3b	(cbrt (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (fma 2/15 (* (* x (* x x)) (* x x)) x))))
21.3b	(fma -1/3 (* x (* x x)) (cbrt (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (fma 2/15 (* (* x (* x x)) (* x x)) x)))))
0.1b	(* x (* x x))
0.1b	(* x (* x x))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-up`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cube-unmult`
2×	`pow2` `pow-plus` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 78

Calls

4 calls:

Slowest

32.0ms	(* x (* x x))
26.0ms	(* x (* x x))
18.0ms	(cbrt (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (fma 2/15 (* (* x (* x x)) (* x x)) x))))
0.0ms	(fma -1/3 (* x (* x x)) (cbrt (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (fma 2/15 (* (* x (* x x)) (* x x)) x)))))

series372.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(cbrt (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (fma 2/15 (* (* x (* x x)) (* x x)) x))))
73.0ms	(fma -1/3 (* x (* x x)) (cbrt (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (* (fma 2/15 (* (* x (* x x)) (* x x)) x) (fma 2/15 (* (* x (* x x)) (* x x)) x)))))
59.0ms	(* x (* x x))
51.0ms	(* x (* x x))

simplify1.7s

Counts: 90 → 90

prune979.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes320.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.0b

bsearch152.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	1710×	body	1280	valid
512.0ms	4127×	body	80	valid
472.0ms	1235×	body	640	valid
181.0ms	592×	body	320	valid
89.0ms	336×	body	160	valid