Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	64×	body	1280	valid
6.0ms	40×	body	640	valid
3.0ms	130×	body	80	valid
1.0ms	15×	body	320	valid
0.0ms	7×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	30	5
3	52	5
4	114	5
5	322	5
6	1627	5
7	5002	5

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: 29.7b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

10.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify151.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	118	161
1	265	148
2	925	144
3	4114	144
4	5002	144

prune47.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

2.0b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
2.0b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

13.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
10.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series159.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
80.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify167.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	158	339
1	365	305
2	1067	301
3	4505	301
4	5002	301

prune85.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Merged error: 0.0b

Counts

45 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

2.0b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 15

Calls

1 calls:

10.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series82.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify145.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	118	161
1	265	148
2	925	144
3	4114	144
4	5002	144

prune34.0ms

Filtered

18 candidates to 11 candidates (61.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	18	3	21

Merged error: 0.0b

Counts

21 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.0b	(* 0.33333333333333337 (pow x 3))
0.9b	(* 5.551115123125783e-17 (pow x 4))
8.0b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

6.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms	(* 0.33333333333333337 (pow x 3))
5.0ms	(* 5.551115123125783e-17 (pow x 4))
4.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
38.0ms	(* 0.33333333333333337 (pow x 3))
36.0ms	(* 5.551115123125783e-17 (pow x 4))
109.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	344	499
1	1435	468
2	5001	462

prune183.0ms

Filtered

93 candidates to 58 candidates (62.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes252.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.0b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	21
1	34	21

end0.0ms

sample866.0ms

Algorithm

intervals

Results

370.0ms	1761×	body	1280	valid
169.0ms	1171×	body	640	valid
107.0ms	4134×	body	80	valid
54.0ms	603×	body	320	valid
20.0ms	331×	body	160	valid