Details

sample55.0ms

Algorithm

intervals

Results

16.0ms	70×	body	1280	valid
15.0ms	88×	body	10240	exit
8.0ms	51×	body	640	valid
3.0ms	93×	body	80	valid
3.0ms	29×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize9.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1.0))
4.8b	(- (exp x) 1.0)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

59.0ms	(/ (exp x) (- (exp x) 1.0))
21.0ms	(- (exp x) 1.0)

series57.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1.0))
21.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 3 (812.0ms)

Iter	Nodes	Cost
0	91	640
1	191	614
2	648	581
3	3086	577
done	5000	577

prune186.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.4b	(* 1/12 x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

13.0ms	(+ (* 1/12 x) (/ 1 x))
35.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
12.0ms	(* 1/12 x)

series82.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (* 1/12 x) (/ 1 x))
20.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
17.0ms	(* 1/12 x)

simplify824.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	73	503
1	208	450
2	804	424
done	5000	424

prune157.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
4.8b	(- 1 (/ 1.0 (exp x)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

53.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
11.0ms	(/ 1.0 (exp x))
17.0ms	(- 1 (/ 1.0 (exp x)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
26.0ms	(/ 1.0 (exp x))
41.0ms	(- 1 (/ 1.0 (exp x)))

simplify959.0ms

Counts

106 → 106

Iterations

Useful iterations: done (955.0ms)

Iter	Nodes	Cost
0	162	1303
1	345	1155
2	1159	1101
done	5001	1094

prune238.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
1.0b	(/ (exp x) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x))))
4.8b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
133×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
44×	`difference-of-squares`
30×	`associate-/r*`
26×	`distribute-lft-out`
22×	`exp-sum`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`add-exp-log` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

3 → 182

Calls

3 calls:

170.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
152.0ms	(/ (exp x) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x))))
111.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series178.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
78.0ms	(/ (exp x) (/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x))))
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify641.0ms

Counts

191 → 191

Iterations

Useful iterations: done (633.0ms)

Iter	Nodes	Cost
0	292	4802
1	817	4628
done	5000	4353

prune670.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

100% (0.0b remaining)

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

bsearch78.0ms

Steps

Iters	Range		Point
9	5.2366538615162886e-09	1.4124627081995123	0.0017165907253591187
8	-0.03117879455470207	-2.7237372521413145e-05	-0.0017846872885275253

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	57
1	38	57
done	38	57

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2271×	body	1280	valid
837.0ms	2534×	body	10240	exit
345.0ms	1674×	body	640	valid
101.0ms	2841×	body	80	valid
101.0ms	794×	body	320	valid
83.0ms	421×	body	160	valid