Details

sample86.0ms

Algorithm

intervals

Results

33.0ms	61×	body	1280	valid
20.0ms	130×	body	80	valid
16.0ms	42×	body	640	valid
5.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize15.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite155.0ms

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

116.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
12.0ms	(+ 1 (exp (* -2 x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

102.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
12.0ms	(+ 1 (exp (* -2 x)))

simplify1.1s

Counts: 159 → 159

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

1.9b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(+ 1 (exp (* -2 x)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite137.0ms

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

119.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))
6.0ms	(+ 1 (exp (* -2 x)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

74.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
37.0ms	(/ 2 (+ 1 (exp (* -2 x))))
18.0ms	(+ 1 (exp (* -2 x)))

simplify1.4s

Counts: 159 → 159

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

18.3b	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
0.1b	(* (* x x) x)
0.0b	(fma (pow x 5) 2/15 x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

Slowest

20.0ms	(* (* x x) x)
1.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series341.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

192.0ms	(fma (pow x 5) 2/15 x)
79.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
69.0ms	(* (* x x) x)

simplify2.3s

Counts: 62 → 62

prune550.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) -1)
2.1b	(- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))
0.0b	(pow (exp (* -2 x)) 3)
0.0b	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
30×	`times-frac`
24×	`distribute-lft-out`
22×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`unpow-prod-down` `cube-prod`
10×	`associate-/r*`
7×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log`
5×	`cube-mult` `pow1`
4×	`expm1-log1p-u` `sum-cubes` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `associate-/l*`
2×	`associate-/r/`
1×	`pow-to-exp` `cbrt-undiv` `exp-prod` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `exp-to-pow` `distribute-rgt-out--` `fma-neg` `diff-log` `unpow3` `div-exp` `prod-diff` `pow-exp` `flip-+` `fma-udef` `div-inv` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 117

Calls

4 calls:

Slowest

50.0ms	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))
28.0ms	(- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))
10.0ms	(pow (exp (* -2 x)) 3)
0.0ms	(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) -1)

series368.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

191.0ms	(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) -1)
71.0ms	(/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3)))
60.0ms	(- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))
45.0ms	(pow (exp (* -2 x)) 3)

simplify2.3s

Counts: 129 → 129

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes390.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.1b

bsearch125.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	1705×	body	1280	valid
604.0ms	1256×	body	640	valid
387.0ms	4119×	body	80	valid
159.0ms	633×	body	320	valid
46.0ms	287×	body	160	valid