Details

sample93.0ms

Algorithm

intervals

Results

36.0ms	53×	body	1280	valid
20.0ms	43×	body	640	valid
14.0ms	133×	body	80	valid
5.0ms	14×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize27.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite93.0ms

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

73.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms	(/ 2 (+ 1 (exp (* -2 x))))
6.0ms	(+ 1 (exp (* -2 x)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

88.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
23.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

simplify1.1s

Counts: 159 → 159

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite119.0ms

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

79.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
13.0ms	(+ 1 (exp (* -2 x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

94.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
24.0ms	(/ 2 (+ 1 (exp (* -2 x))))
17.0ms	(+ 1 (exp (* -2 x)))

simplify1.2s

Counts: 159 → 159

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

19.7b	(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)

rewrite29.0ms

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

27.0ms	(* x (* x x))
1.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series295.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

173.0ms	(fma (pow x 5) 2/15 x)
81.0ms	(fma -1/3 (* x (* x x)) (fma (pow x 5) 2/15 x))
41.0ms	(* x (* x x))

simplify2.1s

Counts: 58 → 58

prune552.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.9b	(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) -1)
3.8b	(- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))
0.0b	(pow (exp (* -2 x)) 3)
0.0b	(* (exp (* -2 x)) (exp (* -2 x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
13×	`add-sqr-sqrt` `exp-prod` `exp-to-pow`
12×	`pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `unpow-prod-down` `pow-pow` `cube-prod` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `cube-mult` `pow-to-exp` `sub-neg` `pow-plus` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

Slowest

20.0ms	(* (exp (* -2 x)) (exp (* -2 x)))
18.0ms	(pow (exp (* -2 x)) 3)
18.0ms	(- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))
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)

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(fma (/ 2 (+ (pow 1 3) (pow (exp (* -2 x)) 3))) (+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))) -1)
47.0ms	(- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x))))
29.0ms	(pow (exp (* -2 x)) 3)
25.0ms	(* (exp (* -2 x)) (exp (* -2 x)))

simplify3.2s

Counts: 109 → 109

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch162.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

932.0ms	1662×	body	1280	valid
644.0ms	1256×	body	640	valid
349.0ms	4113×	body	80	valid
240.0ms	646×	body	320	valid
55.0ms	323×	body	160	valid