Details

sample90.0ms

Algorithm

intervals

Results

36.0ms	114×	body	1280	valid
21.0ms	74×	body	640	valid
6.0ms	387×	pre	80	true
4.0ms	36×	body	320	valid
4.0ms	134×	body	80	valid
2.0ms	29×	body	160	valid

simplify22.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize7.0ms

Local error

Found 1 expressions with local error:

7.3b	(- (exp x) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

20.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify2.0s

Counts: 17 → 17

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

61.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms	(* x 1/6)

series91.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
20.0ms	(* x 1/6)

simplify676.0ms

Counts: 55 → 55

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
7.3b	(- (exp x) 1.0)
7.3b	(- (exp x) 1.0)
7.3b	(- (exp x) 1.0)

rewrite57.0ms

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:

7.0ms	(cbrt (- (exp x) 1.0))
21.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)
11.0ms	(- (exp x) 1.0)

series173.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)
30.0ms	(- (exp x) 1.0)
15.0ms	(- (exp x) 1.0)

simplify957.0ms

Counts: 69 → 69

prune255.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.0b	(log (exp (cbrt (- (exp x) 1.0))))
7.3b	(- (exp x) 1.0)
7.3b	(- (exp x) 1.0)
7.3b	(- (exp x) 1.0)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
9×	`log-pow`
8×	`exp-prod`
7×	`add-cube-cbrt`
5×	`pow1` `cbrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `log-prod` `flip3--` `diff-log` `flip--`
1×	`rem-log-exp`

Counts

4 → 62

Calls

4 calls:

25.0ms	(log (exp (cbrt (- (exp x) 1.0))))
11.0ms	(- (exp x) 1.0)
23.0ms	(- (exp x) 1.0)
13.0ms	(- (exp x) 1.0)

series207.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(log (exp (cbrt (- (exp x) 1.0))))
20.0ms	(- (exp x) 1.0)
15.0ms	(- (exp x) 1.0)
20.0ms	(- (exp x) 1.0)

simplify1.1s

Counts: 74 → 74

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.4s

Algorithm

intervals

Results

791.0ms	3418×	body	1280	valid
467.0ms	4183×	body	80	valid
378.0ms	2517×	body	640	valid
283.0ms	11998×	pre	80	true
156.0ms	1274×	body	320	valid
37.0ms	606×	body	160	valid