Details

sample101.0ms

Algorithm

intervals

Results

39.0ms	86×	body	1280	valid
28.0ms	48×	body	640	valid
13.0ms	172×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify4.4s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize10.0ms

Local error

Found 2 expressions with local error:

2.4b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite22.0ms

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

13.0ms	(- (exp (* a x)) 1)
8.0ms	(exp (* a x))

series83.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

55.0ms	(- (exp (* a x)) 1)
28.0ms	(exp (* a x))

simplify833.0ms

Counts: 34 → 34

prune317.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

10.8b	(+ (* 1/2 (* (* a x) (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))
0.1b	(* (* (* a x) (* a x)) (* a x))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

237×	`pow1`
103×	`pow-prod-down`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
42×	`pow-prod-up`
21×	`pow-plus`
20×	`pow-sqr`
6×	`add-log-exp`
5×	`pow2`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16`
3×	`associate-r` `associate-l` `*-commutative`
2×	`swap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow3` `flip-+`

Counts

4 → 157

Calls

4 calls:

Slowest

118.0ms	(* (* (* a x) (* a x)) (* a x))
92.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
36.0ms	(* (* a x) (* a x))
30.0ms	(* (* a x) (* a x))

series342.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
74.0ms	(* (* (* a x) (* a x)) (* a x))
51.0ms	(* (* a x) (* a x))
49.0ms	(* (* a x) (* a x))

simplify4.4s

Counts: 169 → 169

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

10.8b	(+ (* 1/2 (* (* a x) (* a x))) (* (log (exp (* (* (* a x) (* a x)) (* a x)))) 1/6))
1.5b	(log (exp (* (* (* a x) (* a x)) (* a x))))
0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

83×	`pow1`
34×	`pow-prod-down`
28×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
7×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow-plus` `insert-posit16`
3×	`log-prod` `log-pow`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`
1×	`+-commutative` `exp-prod` `sum-log` `flip3-+` `exp-to-pow` `rem-log-exp` `flip-+`

Counts

4 → 97

Calls

4 calls:

Slowest

91.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* (log (exp (* (* (* a x) (* a x)) (* a x)))) 1/6))
33.0ms	(* (* a x) (* a x))
26.0ms	(* (* a x) (* a x))
7.0ms	(log (exp (* (* (* a x) (* a x)) (* a x))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

171.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* (log (exp (* (* (* a x) (* a x)) (* a x)))) 1/6))
76.0ms	(log (exp (* (* (* a x) (* a x)) (* a x))))
57.0ms	(* (* a x) (* a x))
47.0ms	(* (* a x) (* a x))

simplify3.8s

Counts: 109 → 109

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

2.4b	(+ (* (exp (* a x)) (exp (* a x))) -1)
0.2b	(/ (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (exp (* a x)) 1))
0.0b	(exp (* a x))
0.0b	(exp (* a x))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-log-exp`
6×	`difference-of-sqr--1` `add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out`
4×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
3×	`flip3-+` `flip-+`
2×	`exp-prod` `exp-to-pow` `associate-/r/` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 76

Calls

4 calls:

Slowest

52.0ms	(/ (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (exp (* a x)) 1))
12.0ms	(+ (* (exp (* a x)) (exp (* a x))) -1)
9.0ms	(exp (* a x))
8.0ms	(exp (* a x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(/ (+ (* (exp (* a x)) (exp (* a x))) -1) (+ (exp (* a x)) 1))
57.0ms	(+ (* (exp (* a x)) (exp (* a x))) -1)
17.0ms	(exp (* a x))
15.0ms	(exp (* a x))

simplify1.7s

Counts: 88 → 88

prune917.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes187.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch58.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	2764×	body	1280	valid
465.0ms	1347×	body	640	valid
441.0ms	5469×	body	80	valid
186.0ms	730×	body	320	valid
54.0ms	392×	body	160	valid