Details

sample77.0ms

Algorithm

intervals

Results

30.0ms	98×	body	1280	valid
12.0ms	159×	body	80	valid
9.0ms	40×	body	640	valid
3.0ms	20×	body	320	valid
2.0ms	14×	body	160	valid

simplify614.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
2.8b	(- (exp (* a x)) 1.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

8.0ms	(exp (* a x))
28.0ms	(- (exp (* a x)) 1.0)

series92.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(exp (* a x))
69.0ms	(- (exp (* a x)) 1.0)

simplify634.0ms

Counts: 30 → 30

prune89.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
2.8b	(- (exp (* a x)) 1.0)
2.8b	(- (exp (* a x)) 1.0)
2.8b	(- (exp (* a x)) 1.0)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

16.0ms	(cbrt (- (exp (* a x)) 1.0))
27.0ms	(- (exp (* a x)) 1.0)
27.0ms	(- (exp (* a x)) 1.0)
15.0ms	(- (exp (* a x)) 1.0)

series296.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (- (exp (* a x)) 1.0))
37.0ms	(- (exp (* a x)) 1.0)
41.0ms	(- (exp (* a x)) 1.0)
44.0ms	(- (exp (* a x)) 1.0)

simplify994.0ms

Counts: 69 → 69

prune324.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0)))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
2.9b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`sqrt-prod`
10×	`add-log-exp`
9×	`associate-r`
8×	`difference-of-squares`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
5×	`associate-l`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `exp-prod` `exp-to-pow` `distribute-lft-in` `associate-r/` `associate-l/` `rem-exp-log` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

172.0ms	(* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0)))
8.0ms	(exp (* a x))
10.0ms	(exp (* a x))
39.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series323.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0)))
17.0ms	(exp (* a x))
18.0ms	(exp (* a x))
78.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify720.0ms

Counts: 88 → 88

prune337.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
0.7b	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
0.7b	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
2.9b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
15×	`cbrt-prod` `add-sqr-sqrt`
12×	`sqrt-prod`
7×	`add-cube-cbrt`
6×	`cbrt-div` `distribute-lft-out` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 63

Calls

4 calls:

20.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
20.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
19.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
33.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

504.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
533.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
479.0ms	(cbrt (+ (sqrt (exp (* a x))) (sqrt 1.0)))
94.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify1.2s

Counts: 75 → 75

prune394.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.2b

regimes645.0ms

Accuracy

95.7% (0.9b remaining)

Error of 9.4b against oracle of 8.5b and baseline of 29.5b

bsearch2.0ms

simplify1.8s

end0.0ms

sample1.9s

Algorithm

intervals

Results

784.0ms	2767×	body	1280	valid
322.0ms	1280×	body	640	valid
225.0ms	5497×	body	80	valid
118.0ms	794×	body	320	valid
30.0ms	404×	body	160	valid