Details

sample81.0ms

Algorithm

intervals

Results

35.0ms	85×	body	1280	valid
14.0ms	47×	body	640	valid
10.0ms	164×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	18×	body	160	valid

simplify527.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize9.0ms

Local error

Found 2 expressions with local error:

4.4b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite16.0ms

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)
4.0ms	(exp (* a x))

series58.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(- (exp (* a x)) 1)
13.0ms	(exp (* a x))

simplify937.0ms

Counts: 37 → 34

prune292.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

11.3b	(+ (* (* 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)

rewrite530.0ms

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

353.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
65.0ms	(* (* a x) (* 1/2 (* a x)))
63.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
44.0ms	(* (* a x) (* a x))

series347.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(+ (* (* a x) (* 1/2 (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
86.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
44.0ms	(* (* a x) (* 1/2 (* a x)))
37.0ms	(* (* a x) (* a x))

simplify780.0ms

Counts: 132 → 134

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (exp (* a x)) 1)
4.4b	(- (exp (* a x)) 1)
4.4b	(- (exp (* a x)) 1)
0.1b	(cbrt (* (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (- (exp (* a x)) 1)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

30×	`flip3--` `flip--`
28×	`frac-times`
26×	`cbrt-div`
16×	`add-sqr-sqrt`
14×	`associate-*l/`
13×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`associate-*r/`
6×	`difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 88

Calls

4 calls:

Slowest

107.0ms	(cbrt (* (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (- (exp (* a x)) 1)))
24.0ms	(- (exp (* a x)) 1)
11.0ms	(- (exp (* a x)) 1)
11.0ms	(- (exp (* a x)) 1)

series180.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(- (exp (* a x)) 1)
49.0ms	(- (exp (* a x)) 1)
42.0ms	(cbrt (* (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (- (exp (* a x)) 1)))
37.0ms	(- (exp (* a x)) 1)

simplify381.0ms

Counts: 140 → 100

prune948.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch58.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2726×	body	1280	valid
471.0ms	5478×	body	80	valid
366.0ms	1325×	body	640	valid
179.0ms	734×	body	320	valid
61.0ms	427×	body	160	valid