Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	65×	body	1280	valid
6.0ms	63×	body	640	valid
3.0ms	153×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.9b	(- (exp x) 1.0)

rewrite17.0ms

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:

11.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series58.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- (exp x) 1.0) x)
18.0ms	(- (exp x) 1.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune114.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

8.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
6.0ms	(* 1/6 (pow x 2))

series44.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
24.0ms	(* 1/6 (pow x 2))

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

7.0ms	(* x (+ 1/2 (* x 1/6)))
3.0ms	(* x 1/6)

series73.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* x (+ 1/2 (* x 1/6)))
13.0ms	(* x 1/6)

simplify110.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	178	158
1	781	143
2	4248	143
3	5001	143

prune70.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (- (exp x) 1.0))) x)
3.9b	(log (exp (- (exp x) 1.0)))
3.9b	(- (exp x) 1.0)

rewrite54.0ms

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:

35.0ms	(/ (log (exp (- (exp x) 1.0))) x)
11.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series71.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (log (exp (- (exp x) 1.0))) x)
18.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify95.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	269	594
1	788	525
2	3293	508
3	5001	505

prune145.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes14.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 21.4b

bsearch26.0ms

Steps

Iters	Range		Point
7	-0.00043085380315138777	-1.8212635929712337e-06	-0.00019141971874233585

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample895.0ms

Algorithm

intervals

Results

398.0ms	2326×	body	1280	valid
176.0ms	1605×	body	640	valid
101.0ms	5570×	body	80	valid
60.0ms	816×	body	320	valid
19.0ms	421×	body	160	valid