Details

sample96.0ms

Algorithm

intervals

Results

48.0ms	88×	body	1280	valid
13.0ms	181×	body	80	valid
12.0ms	35×	body	640	valid
5.0ms	21×	body	320	valid
3.0ms	17×	body	160	valid

simplify4.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize9.0ms

Local error

Found 2 expressions with local error:

3.7b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
5×	`*-un-lft-identity`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
1×	`exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

Slowest

11.0ms	(- (exp (* a x)) 1)
8.0ms	(exp (* a x))

series62.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(- (exp (* a x)) 1)
16.0ms	(exp (* a x))

simplify996.0ms

Counts: 34 → 34

prune312.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

12.6b	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
0.2b	(* (* a x) (* 1/2 (* a x)))
0.2b	(* (* a x) (* a x))
0.1b	(* (* (* (* a x) (* a x)) (* a x)) 1/6)

rewrite544.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
90×	`add-cbrt-cube` `add-exp-log`
74×	`pow-prod-down`
65×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`pow-plus`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 122

Calls

4 calls:

Slowest

373.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
64.0ms	(* (* a x) (* 1/2 (* a x)))
59.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
42.0ms	(* (* a x) (* a x))

series375.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
108.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
53.0ms	(* (* a x) (* a x))
45.0ms	(* (* a x) (* 1/2 (* a x)))

simplify794.0ms

Counts: 134 → 134

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

12.6b	(+ (* (* a x) (* 1/2 (* a x))) (log (exp (* (* (* (* a x) (* a x)) (* a x)) 1/6))))
1.6b	(log (exp (* (* (* (* a x) (* a x)) (* a x)) 1/6)))
0.2b	(* (* a x) (* 1/2 (* a x)))
0.2b	(* (* a x) (* a x))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1`
37×	`add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down`
23×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`associate-+r+` `log-pow`
2×	`pow-plus` `associate-r` `associate-l` `*-commutative`
1×	`pow2` `+-commutative` `exp-prod` `sum-log` `flip3-+` `exp-to-pow` `swap-sqr` `rem-log-exp` `flip-+`

Counts

4 → 94

Calls

4 calls:

Slowest

84.0ms	(* (* a x) (* 1/2 (* a x)))
63.0ms	(+ (* (* a x) (* 1/2 (* a x))) (log (exp (* (* (* (* a x) (* a x)) (* a x)) 1/6))))
44.0ms	(* (* a x) (* a x))
11.0ms	(log (exp (* (* (* (* a x) (* a x)) (* a x)) 1/6)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(+ (* (* a x) (* 1/2 (* a x))) (log (exp (* (* (* (* a x) (* a x)) (* a x)) 1/6))))
118.0ms	(log (exp (* (* (* (* a x) (* a x)) (* a x)) 1/6)))
62.0ms	(* (* a x) (* 1/2 (* a x)))
57.0ms	(* (* a x) (* a x))

simplify6.6s

Counts: 106 → 106

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.7b	(- (sqrt (exp (* a x))) 1)
0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(+ (sqrt (exp (* a x))) 1)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-log-exp`
5×	`sqrt-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `difference-of-squares`
2×	`exp-prod` `exp-to-pow` `difference-of-sqr-1` `distribute-lft-out` `distribute-lft-out--` `rem-exp-log`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 57

Calls

4 calls:

Slowest

14.0ms	(- (sqrt (exp (* a x))) 1)
10.0ms	(+ (sqrt (exp (* a x))) 1)
4.0ms	(exp (* a x))
4.0ms	(exp (* a x))

series122.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

57.0ms	(- (sqrt (exp (* a x))) 1)
32.0ms	(+ (sqrt (exp (* a x))) 1)
19.0ms	(exp (* a x))
14.0ms	(exp (* a x))

simplify1.4s

Counts: 69 → 69

prune712.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.6b

bsearch78.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	2653×	body	1280	valid
826.0ms	5421×	body	80	valid
367.0ms	1305×	body	640	valid
198.0ms	795×	body	320	valid
105.0ms	408×	body	160	valid