Details

sample71.0ms

Algorithm

intervals

Results

29.0ms	105×	body	1280	valid
12.0ms	72×	body	640	valid
6.0ms	352×	pre	80	true
6.0ms	55×	body	320	valid
3.0ms	102×	body	80	valid
1.0ms	18×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b	(- (exp x) 1.0)

rewrite23.0ms

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:

22.0ms

(- (exp x) 1.0)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify3.8s

Counts

31 → 31

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	66	376
1	142	288
2	272	231
3	799	204
4	2411	175
done	5001	175

prune114.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite282.0ms

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:

171.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
11.0ms	(+ 1.0 (exp x))
97.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series103.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
10.0ms	(+ 1.0 (exp x))
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.6s

Counts

98 → 98

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	147	1493
1	354	1441
2	992	1308
3	3222	1293
done	5000	1287

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0))) (* (+ 1.0 (exp x)) (fma 1.0 1.0 (exp (* 2 x)))))
0.0b	(fma 1.0 1.0 (exp (* 2 x)))
5.4b	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
341.0ms	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0))) (* (+ 1.0 (exp x)) (fma 1.0 1.0 (exp (* 2 x)))))
0.0ms	(fma 1.0 1.0 (exp (* 2 x)))
170.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 1.0 (exp x))
151.0ms	(/ (- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0))) (* (+ 1.0 (exp x)) (fma 1.0 1.0 (exp (* 2 x)))))
27.0ms	(fma 1.0 1.0 (exp (* 2 x)))
37.0ms	(- (* (exp (+ x x)) (exp (+ x x))) (* (* 1.0 1.0) (* 1.0 1.0)))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	149	1978
1	413	1635
2	1601	1200
done	5002	1088

prune393.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.4s	3466×	body	1280	valid
450.0ms	2484×	body	640	valid
217.0ms	11982×	pre	80	true
143.0ms	4170×	body	80	valid
132.0ms	1231×	body	320	valid
42.0ms	631×	body	160	valid