Details

sample36.0ms

Algorithm

intervals

Results

17.0ms	88×	body	1280	valid
6.0ms	51×	body	640	valid
4.0ms	154×	body	80	valid
2.0ms	24×	body	320	valid
1.0ms	11×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 41.8b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
2.4b	(- (exp x) 1.0)

rewrite11.0ms

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:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series55.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify74.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

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

prune94.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize9.0ms

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))

rewrite14.0ms

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:

7.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms	(* 1/6 (pow x 2))

series45.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
24.0ms	(* 1/6 (pow x 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (31.0ms)

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

prune64.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (- (exp x) 1.0))) x)
2.4b	(log (exp (- (exp x) 1.0)))
2.4b	(- (exp x) 1.0)

rewrite23.0ms

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:

8.0ms	(/ (log (exp (- (exp x) 1.0))) x)
8.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series67.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify99.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (88.0ms)

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

prune126.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

2.4b	(log (exp (- (exp x) 1.0)))
2.4b	(- (exp x) 1.0)
2.4b	(- (exp x) 1.0)
2.4b	(- (exp x) 1.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
6×	`add-cube-cbrt` `log-pow`
5×	`pow1` `log-prod` `exp-prod`
4×	`add-exp-log` `sub-neg` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `diff-log` `flip--`
2×	`exp-sum`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 62

Calls

4 calls:

5.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series57.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)
15.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	120	305
1	277	280
2	652	276
3	1859	276
4	5001	276

prune183.0ms

Filtered

74 candidates to 52 candidates (70.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

regimes22.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.4b

bsearch32.0ms

Steps

Iters	Range		Point
9	-0.0014566459989916651	-7.102728357209251e-09	-0.0001814403884370813

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	21
1	29	21

end0.0ms

sample1000.0ms

Algorithm

intervals

Results

441.0ms	2297×	body	1280	valid
206.0ms	1676×	body	640	valid
126.0ms	5488×	body	80	valid
66.0ms	811×	body	320	valid
20.0ms	376×	body	160	valid