Details

sample61.0ms

Algorithm

intervals

Results

28.0ms	84×	body	1280	valid
12.0ms	54×	body	640	valid
8.0ms	169×	body	80	valid
4.0ms	25×	body	320	valid
1.0ms	14×	body	160	valid

simplify32.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize15.0ms

Local error

Found 2 expressions with local error:

4.4b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 64

Calls

2 calls:

Slowest

49.0ms	(/ (- (exp x) 1) x)
16.0ms	(- (exp x) 1)

series88.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(/ (- (exp x) 1) x)
25.0ms	(- (exp x) 1)

simplify514.0ms

Counts: 98 → 70

prune636.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 1/6 x)
0.0b	(* x (+ (* 1/6 x) 1/2))
0.0b	(+ (* 1/6 x) 1/2)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`flip3-+` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 54

Calls

3 calls:

Slowest

36.0ms	(* x (+ (* 1/6 x) 1/2))
12.0ms	(+ (* 1/6 x) 1/2)
10.0ms	(* 1/6 x)

series181.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

112.0ms	(* x (+ (* 1/6 x) 1/2))
43.0ms	(+ (* 1/6 x) 1/2)
25.0ms	(* 1/6 x)

simplify789.0ms

Counts: 66 → 63

prune451.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.7b	(log (exp (* x (+ (* 1/6 x) 1/2))))
0.3b	(* 1/6 x)
0.0b	(* x (+ (* 1/6 x) 1/2))
0.0b	(exp (* x (+ (* 1/6 x) 1/2)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`associate-r` `associate-l`
5×	`log-prod`
4×	`exp-sum` `insert-posit16`
3×	`distribute-rgt-in` `distribute-lft-in` `log-pow`
2×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `rem-log-exp` `flip-+` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

Slowest

35.0ms	(* x (+ (* 1/6 x) 1/2))
10.0ms	(* 1/6 x)
9.0ms	(exp (* x (+ (* 1/6 x) 1/2)))
5.0ms	(log (exp (* x (+ (* 1/6 x) 1/2))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(log (exp (* x (+ (* 1/6 x) 1/2))))
67.0ms	(* x (+ (* 1/6 x) 1/2))
32.0ms	(exp (* x (+ (* 1/6 x) 1/2)))
16.0ms	(* 1/6 x)

simplify896.0ms

Counts: 90 → 84

prune662.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

4.7b	(log (* (sqrt (exp (* x (+ (* 1/6 x) 1/2)))) (sqrt (exp (* x (+ (* 1/6 x) 1/2))))))
0.3b	(* 1/6 x)
0.3b	(* 1/6 x)
0.0b	(* x (+ (* 1/6 x) 1/2))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-pow1`
26×	`pow1` `log-pow`
16×	`add-sqr-sqrt` `add-log-exp`
13×	`add-exp-log`
12×	`exp-prod` `exp-to-pow`
10×	`*-un-lft-identity` `add-cbrt-cube` `pow-prod-down` `add-cube-cbrt`
9×	`associate-r` `associate-l` `pow-prod-up`
8×	`pow1/2`
7×	`pow-sqr`
4×	`prod-exp` `insert-posit16`
3×	`*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`rem-log-exp` `associate-*r/`
1×	`pow2` `distribute-rgt-in` `log-prod` `distribute-lft-in` `flip3-+` `pow-plus` `flip-+`

Counts

4 → 98

Calls

4 calls:

Slowest

22.0ms	(* x (+ (* 1/6 x) 1/2))
21.0ms	(log (* (sqrt (exp (* x (+ (* 1/6 x) 1/2)))) (sqrt (exp (* x (+ (* 1/6 x) 1/2))))))
10.0ms	(* 1/6 x)
10.0ms	(* 1/6 x)

series226.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(* x (+ (* 1/6 x) 1/2))
84.0ms	(log (* (sqrt (exp (* x (+ (* 1/6 x) 1/2)))) (sqrt (exp (* x (+ (* 1/6 x) 1/2))))))
27.0ms	(* 1/6 x)
16.0ms	(* 1/6 x)

simplify986.0ms

Counts: 111 → 110

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch56.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

957.0ms	2303×	body	1280	valid
736.0ms	5439×	body	80	valid
452.0ms	1706×	body	640	valid
164.0ms	782×	body	320	valid
131.0ms	407×	body	160	valid