Details

sample67.0ms

Algorithm

intervals

Results

29.0ms	121×	body	1280	valid
10.0ms	70×	body	640	valid
6.0ms	400×	pre	80	true
4.0ms	43×	body	320	valid
3.0ms	148×	body	80	valid
1.0ms	18×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify1.9s

Counts

31 → 31

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	66	376
1	150	291
2	425	231
3	2023	186
done	5001	175

prune117.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
17×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`exp-sum`
7×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`fma-neg` `prod-diff` `associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 89

Calls

3 calls:

12.0ms	(+ (exp x) 1.0)
189.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
88.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series107.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (exp x) 1.0)
71.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	1493
1	370	1442
2	1555	1310
done	5000	1198

prune313.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (+ x x)) (* 1.0 1.0)))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))
5.4b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`fma-neg` `prod-diff`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`exp-sum` `add-log-exp`
8×	`difference-of-squares`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

37.0ms	(cbrt (- (exp (+ x x)) (* 1.0 1.0)))
85.0ms	(- (exp (+ x x)) (* 1.0 1.0))
78.0ms	(- (exp (+ x x)) (* 1.0 1.0))
87.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series261.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- (exp (+ x x)) (* 1.0 1.0)))
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))
27.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	89	1337
1	195	1297
2	561	1116
3	2581	1053
done	5001	1045

prune538.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

875.0ms	3483×	body	1280	valid
812.0ms	2446×	body	640	valid
233.0ms	12076×	pre	80	true
131.0ms	4253×	body	80	valid
115.0ms	1297×	body	320	valid
33.0ms	597×	body	160	valid