Details

sample76.0ms

Algorithm

intervals

Results

51.0ms	181×	body	1280	valid
7.0ms	42×	body	640	valid
6.0ms	289×	body	80	valid
2.0ms	18×	body	320	valid
0.0ms	8×	body	160	valid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	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: 27.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
60.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune91.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series284.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
136.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
49.0ms	(* 1/360 (pow x 6))
41.0ms	(* 1/12 (pow x 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	327	476
1	1399	444
2	5001	426

prune160.0ms

Filtered

87 candidates to 55 candidates (63.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(* (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))))
3.0b	(+ (- (exp x) 2.0) (exp (- x)))
3.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

84×	`sqrt-div`
68×	`*-un-lft-identity`
64×	`frac-add`
38×	`sqrt-prod`
36×	`frac-times`
33×	`flip3--` `flip--`
32×	`neg-sub0` `exp-neg` `exp-diff`
26×	`add-sqr-sqrt`
20×	`distribute-lft-out`
19×	`pow1`
16×	`flip3-+` `swap-sqr` `flip-+` `add-log-exp`
12×	`add-cube-cbrt`
11×	`distribute-lft-out--`
8×	`sqrt-pow1` `pow1/2` `associate-r` `associate-l`
6×	`add-exp-log` `associate-r/` `associate-l/` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`associate-+l+` `sum-log` `unswap-sqr`
3×	`sub-neg` `diff-log` `pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l-`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `difference-of-squares`

Counts

4 → 165

Calls

4 calls:

4.0ms	(- (exp x) 2.0)
26.0ms	(* (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))))
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (exp x) 2.0)
62.0ms	(* (sqrt (+ (- (exp x) 2.0) (exp (- x)))) (sqrt (+ (- (exp x) 2.0) (exp (- x)))))
61.0ms	(+ (- (exp x) 2.0) (exp (- x)))
55.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	358	2647
1	1267	2554
2	5001	2512

prune248.0ms

Filtered

177 candidates to 77 candidates (43.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	176	5	181

Merged error: 0.0b

Counts

181 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (cbrt (sqrt (+ (- (exp x) 2.0) (exp (- x))))) 4)
3.0b	(+ (- (exp x) 2.0) (exp (- x)))
3.0b	(+ (- (exp x) 2.0) (exp (- x)))
3.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
19×	`add-log-exp`
12×	`frac-add`
11×	`unpow-prod-down`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-out`
6×	`neg-sub0` `exp-neg` `associate-+l+` `flip3--` `exp-diff` `sum-log` `flip--`
5×	`pow1` `add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`+-commutative` `associate-+l-` `sub-neg` `pow-unpow` `flip3-+` `diff-log` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

11.0ms	(pow (cbrt (sqrt (+ (- (exp x) 2.0) (exp (- x))))) 4)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(pow (cbrt (sqrt (+ (- (exp x) 2.0) (exp (- x))))) 4)
62.0ms	(+ (- (exp x) 2.0) (exp (- x)))
60.0ms	(+ (- (exp x) 2.0) (exp (- x)))
60.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify153.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	325	1000
1	1060	940
2	4840	903
3	5002	903

prune291.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

regimes68.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5573×	body	1280	valid
204.0ms	1280×	body	640	valid
178.0ms	7925×	body	80	valid
59.0ms	648×	body	320	valid
19.0ms	322×	body	160	valid