Details

sample47.0ms

Algorithm

intervals

Results

20.0ms	74×	body	1280	valid
9.0ms	56×	body	640	valid
5.0ms	169×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	14×	body	160	valid

simplify17.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
4.4b	(- (exp x) 1.0)

rewrite49.0ms

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:

35.0ms	(/ (- (exp x) 1.0) x)
11.0ms	(- (exp x) 1.0)

series82.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- (exp x) 1.0) x)
17.0ms	(- (exp x) 1.0)

simplify2.2s

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

prune171.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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:

31.0ms	(* x (+ 1/2 (* 1/6 x)))
14.0ms	(* 1/6 x)

series138.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* x (+ 1/2 (* 1/6 x)))
25.0ms	(* 1/6 x)

simplify2.2s

Counts

46 → 46

Iterations

Useful iterations: 2 (157.0ms)

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

prune129.0ms

Pruning

2 alts after pruning (1 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))) x)
4.4b	(log (exp (- (exp x) 1.0)))
4.4b	(- (exp x) 1.0)

rewrite158.0ms

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:

97.0ms	(/ (log (exp (- (exp x) 1.0))) x)
44.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

series94.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (log (exp (- (exp x) 1.0))) x)
16.0ms	(log (exp (- (exp x) 1.0)))
16.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	146	1113
1	258	905
2	556	858
3	1144	851
4	3104	850
done	5002	850

prune221.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (log (exp (- (exp x) 1.0))) (/ 1 x))
4.4b	(log (exp (- (exp x) 1.0)))
4.4b	(- (exp x) 1.0)

rewrite152.0ms

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:

108.0ms	(* (log (exp (- (exp x) 1.0))) (/ 1 x))
25.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

series87.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (log (exp (- (exp x) 1.0))) (/ 1 x))
19.0ms	(log (exp (- (exp x) 1.0)))
26.0ms	(- (exp x) 1.0)

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	143	927
1	303	677
2	736	598
3	2056	592
done	5000	591

prune162.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes20.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 21.5b

bsearch22.0ms

Steps

Iters	Range		Point
6	-0.0008047768791668974	-9.640722949014248e-05	-0.00011835590321932839

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	21
1	23	21
done	23	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

638.0ms	2258×	body	1280	valid
309.0ms	1649×	body	640	valid
255.0ms	5485×	body	80	valid
173.0ms	811×	body	320	valid
29.0ms	416×	body	160	valid