Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	64×	body	1280	valid
8.0ms	58×	body	640	valid
4.0ms	171×	body	80	valid
2.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.6b	(- (exp x) 1.0)

rewrite67.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

47.0ms	(/ (- (exp x) 1.0) x)
16.0ms	(- (exp x) 1.0)

series78.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- (exp x) 1.0) x)
25.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	4953
2	817
1	227
0	99

prune348.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1/2 (* 1/6 x)))
0.3b	(* 1/6 x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

23.0ms	(* x (+ 1/2 (* 1/6 x)))
5.0ms	(* 1/6 x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(* x (+ 1/2 (* 1/6 x)))
26.0ms	(* 1/6 x)

simplify906.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
2	873
1	207
0	70

prune191.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
3.1b	(- (/ (exp x) x) (/ 1.0 x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

5.0ms	(/ (exp x) x)
28.0ms	(- (/ (exp x) x) (/ 1.0 x))

series98.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (exp x) x)
60.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	4150
2	731
1	226
0	105

prune213.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (- (exp x) 1.0))) x)
3.6b	(log (exp (- (exp x) 1.0)))
3.6b	(- (exp x) 1.0)

rewrite122.0ms

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×	`log-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`log-div` `sub-neg` `exp-diff` `exp-sum`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `diff-log` `div-sub` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

3 → 86

Calls

3 calls:

77.0ms	(/ (log (exp (- (exp x) 1.0))) x)
28.0ms	(log (exp (- (exp x) 1.0)))
13.0ms	(- (exp x) 1.0)

series101.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (log (exp (- (exp x) 1.0))) x)
19.0ms	(log (exp (- (exp x) 1.0)))
25.0ms	(- (exp x) 1.0)

simplify901.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	995
1	288
0	146

prune393.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch64.0ms

Steps

Iters	Range		Point
9	-0.00028809610572707044	-8.433739504313006e-14	-0.0001489848388411735

simplify8.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

822.0ms	2238×	body	1280	valid
301.0ms	1672×	body	640	valid
221.0ms	5453×	body	80	valid
96.0ms	827×	body	320	valid
33.0ms	430×	body	160	valid