Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	69×	body	1280	valid
7.0ms	59×	body	640	valid
4.0ms	163×	body	80	valid
2.0ms	29×	body	320	valid
1.0ms	20×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
3	15
2	13
1	10
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify2.1s

Counts

17 → 17

Iterations

Iter	Nodes
done	5002
4	2834
3	681
2	221
1	83
0	39

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (+ (* x 1/6) 1/2) (pow x 2))
0.4b	(* x 1/6)
2.3b	(/ (+ (* (+ (* x 1/6) 1/2) (pow x 2)) x) x)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-exp-log`
11×	`associate-r`
9×	`times-frac` `add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-l/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `div-inv`

Counts

3 → 76

Calls

3 calls:

50.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
11.0ms	(* x 1/6)
64.0ms	(/ (+ (* (+ (* x 1/6) 1/2) (pow x 2)) x) x)

series214.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
16.0ms	(* x 1/6)
75.0ms	(/ (+ (* (+ (* x 1/6) 1/2) (pow x 2)) x) x)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2049
1	355
0	141

prune337.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))
5.0b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out` `add-log-exp`
6×	`exp-sum`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 72

Calls

3 calls:

13.0ms	(+ (exp x) 1.0)
155.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
47.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series133.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (exp x) 1.0)
81.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
38.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify827.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1515
1	340
0	131

prune449.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.2b

bsearch70.0ms

Steps

Iters	Range		Point
10	-938.9819325385033	-1.6260248627107784e-07	-0.00012830633707642283

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample1.8s

Algorithm

intervals

Results

758.0ms	2291×	body	1280	valid
346.0ms	1661×	body	640	valid
253.0ms	5426×	body	80	valid
100.0ms	827×	body	320	valid
31.0ms	419×	body	160	valid