Details

sample48.0ms

Algorithm

intervals

Results

19.0ms	75×	body	1280	valid
8.0ms	49×	body	640	valid
5.0ms	182×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	10	6
2	13	6
3	15	6
done	15	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.0b	(- (exp x) 1.0)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

68.0ms	(/ (- (exp x) 1.0) x)
23.0ms	(- (exp x) 1.0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- (exp x) 1.0) x)
23.0ms	(- (exp x) 1.0)

simplify2.5s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	99	596
1	221	572
2	503	542
3	1095	537
4	2836	536
done	5001	536

prune199.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ 1/2 (* 1/6 x)))
0.3b	(* 1/6 x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 40

Calls

2 calls:

21.0ms	(* x (+ 1/2 (* 1/6 x)))
8.0ms	(* 1/6 x)

series145.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* x (+ 1/2 (* 1/6 x)))
31.0ms	(* 1/6 x)

simplify2.4s

Counts

46 → 46

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	70	356
1	184	328
2	522	298
3	1711	298
done	5000	298

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (- (exp x) 1.0))) x)
3.0b	(- (exp x) 1.0)
3.0b	(log (exp (- (exp x) 1.0)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
23×	`add-cube-cbrt`
9×	`associate-/l*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `log-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`sub-neg` `log-div` `exp-diff` `exp-sum`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `diff-log` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 86

Calls

3 calls:

122.0ms	(/ (log (exp (- (exp x) 1.0))) x)
12.0ms	(- (exp x) 1.0)
61.0ms	(log (exp (- (exp x) 1.0)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (log (exp (- (exp x) 1.0))) x)
32.0ms	(- (exp x) 1.0)
26.0ms	(log (exp (- (exp x) 1.0)))

simplify2.2s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	146	1113
1	258	905
2	556	858
3	1142	851
4	3090	850
done	5000	850

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (log (exp (- (exp x) 1.0))) (/ 1 x))
3.0b	(- (exp x) 1.0)
3.0b	(log (exp (- (exp x) 1.0)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`associate-r`
12×	`add-exp-log` `log-pow`
11×	`times-frac`
10×	`exp-prod`
9×	`associate-l`
8×	`add-cbrt-cube`
7×	`pow1`
5×	`log-prod` `add-log-exp`
4×	`prod-exp`
3×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `div-exp` `exp-sum` `cbrt-unprod`
1×	`cbrt-undiv` `log-div` `rec-exp` `flip3--` `exp-diff` `diff-log` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `div-inv`

Counts

3 → 76

Calls

3 calls:

117.0ms	(* (log (exp (- (exp x) 1.0))) (/ 1 x))
11.0ms	(- (exp x) 1.0)
27.0ms	(log (exp (- (exp x) 1.0)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (log (exp (- (exp x) 1.0))) (/ 1 x))
15.0ms	(- (exp x) 1.0)
18.0ms	(log (exp (- (exp x) 1.0)))

simplify1.7s

Counts

85 → 85

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	143	927
1	303	677
2	736	598
3	2049	592
done	5000	591

prune196.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes20.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.3b

bsearch43.0ms

Steps

Iters	Range		Point
9	-0.00046903783504091863	-4.353488769003373e-11	-0.00016390554735489353

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	23
1	25	23
done	25	23

end0.0ms

sample2.1s

Algorithm

intervals

Results

728.0ms	1603×	body	640	valid
691.0ms	2351×	body	1280	valid
233.0ms	5455×	body	80	valid
140.0ms	819×	body	320	valid
29.0ms	399×	body	160	valid