Details

sample116.0ms

Algorithm: halfpoints

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.5b	(- (exp x) (exp (- x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-*l/`
14×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`pow1` `add-log-exp`
6×	`associate-r` `associate-/r*`
5×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `flip--` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 122

Calls

4 calls:

13.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
17.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))
85.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	563	1117
1	2575	1003
2	5001	1001

prune442.0ms

Filtered

134 candidates to 97 candidates (72.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	3	135

Merged error: 0b

Counts

135 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.5b	(- (exp x) (exp (- x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-*l/`
14×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`pow1` `add-log-exp`
6×	`associate-r` `associate-/r*`
5×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `clear-num` `*-commutative` `flip--` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 122

Calls

4 calls:

13.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
13.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	563	1117
1	2575	1003
2	5001	1001

prune469.0ms

Filtered

134 candidates to 97 candidates (72.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	134	3	137

Merged error: 0b

Counts

137 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.3b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
20.5b	(- (exp x) (exp (- x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
97×	`add-sqr-sqrt`
83×	`associate-l`
68×	`times-frac`
62×	`add-cube-cbrt`
58×	`cbrt-prod`
52×	`unpow-prod-down` `cube-prod`
37×	`associate-*l/`
24×	`cube-div`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
14×	`distribute-lft-out`
13×	`associate-/l*`
12×	`cbrt-div`
10×	`unswap-sqr`
9×	`pow1` `associate-/r*`
6×	`associate-/l/` `add-log-exp`
5×	`*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
4×	`pow-unpow` `prod-exp` `cbrt-unprod`
3×	`frac-2neg` `pow-exp` `clear-num` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-mult` `flip3--` `pow-pow` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `flip--` `rem-cbrt-cube` `flip-+` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow1/3` `diff-log`

Counts

4 → 230

Calls

4 calls:

13.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
23.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
17.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
5.0ms	(- (exp x) (exp (- x)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
61.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
86.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
36.0ms	(- (exp x) (exp (- x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1048	2730
1	5001	2554

prune698.0ms

Filtered

242 candidates to 131 candidates (54.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	242	3	245

Merged error: 0b

Counts

245 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* 1/12 (pow x 4))
20.5b	(- (exp x) (exp (- x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
23×	`associate-l`
19×	`add-cube-cbrt`
16×	`times-frac`
14×	`add-exp-log`
13×	`associate-*l/`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-r`
8×	`pow1`
5×	`prod-exp` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`unpow-prod-down`
3×	`associate-/r*` `sum-log` `cbrt-unprod`
2×	`+-commutative` `associate-+r+` `flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 107

Calls

4 calls:

17.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
17.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(* 1/12 (pow x 4))
5.0ms	(- (exp x) (exp (- x)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
42.0ms	(* 1/12 (pow x 4))
36.0ms	(- (exp x) (exp (- x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	510	825
1	2229	752
2	5002	748

prune598.0ms

Filtered

119 candidates to 80 candidates (67.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	18
1	27	18
2	29	18
3	29	18

end0.0ms

sample1.9s

Algorithm: halfpoints