Details

sample263.0ms

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	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.4b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.1b	(- (exp x) (exp (- x)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 105

Calls

3 calls:

54.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
57.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0ms	(- (exp x) (exp (- x)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
70.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	541	1133
1	1885	916
2	5002	915

prune384.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `associate-l`
25×	`*-un-lft-identity`
23×	`times-frac`
19×	`add-cube-cbrt`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-r`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

2 → 71

Calls

2 calls:

54.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
21.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

series137.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
84.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 2.0) (sin y))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	405	770
1	1528	671
2	5001	669

prune428.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b	(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 188

Calls

4 calls:

23.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
55.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
6.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
7.0ms	(/ 1 (sqrt 2.0))

series453.0ms

Counts

4 → 10

Calls

4 calls:

142.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
205.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
105.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	633	2261
1	3213	1931
2	5001	1821

prune999.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
1.0b	(/ (/ 1 2.0) (sqrt 2.0))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

311×	`times-frac`
188×	`add-sqr-sqrt`
180×	`add-cube-cbrt` `*-un-lft-identity`
107×	`associate-l`
103×	`sqrt-prod`
82×	`cbrt-prod`
29×	`add-exp-log`
22×	`add-cbrt-cube`
17×	`div-inv`
16×	`associate-/l*`
15×	`pow1`
12×	`associate-/r*`
9×	`div-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp` `pow-div`
3×	`unswap-sqr`
2×	`cbrt-div` `pow-flip` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `*-commutative` `inv-pow`
1×	`frac-times` `rec-exp` `1-exp` `associate-*r/` `associate-/l/`

Counts

4 → 312

Calls

4 calls:

23.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
82.0ms	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
6.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
16.0ms	(/ (/ 1 2.0) (sqrt 2.0))

series761.0ms

Counts

4 → 10

Calls

4 calls:

145.0ms	(* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y))
509.0ms	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0)) (sin y)))
107.0ms	(/ (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (sqrt 2.0))
0.0ms	(/ (/ 1 2.0) (sqrt 2.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	1073	3904
1	4437	3585
2	5001	3483

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes146.0ms

Accuracy

0% (0.7b 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	29	17
1	29	17

end0.0ms

sample6.1s

Algorithm: halfpoints