Details

sample284.0ms

Algorithm: halfpoints

simplify57.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize38.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.6b	(- (exp x) (exp (- x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 52

Calls

2 calls:

56.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.0ms	(- (exp x) (exp (- x)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))

simplify102.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	293	506
1	893	449
2	3855	448
3	5001	448

prune165.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
22×	`associate-r`
19×	`associate-l`
18×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
5×	`pow1`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative` `add-log-exp`
2×	`pow-to-exp` `pow-exp`
1×	`cbrt-undiv` `cube-mult` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `div-inv`

Counts

3 → 88

Calls

3 calls:

13.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))
78.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series159.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* 1/60 (pow x 5))
32.0ms	(* 1/3 (pow x 3))
80.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	399	676
1	1676	587
2	5002	587

prune274.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

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×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow`

Counts

4 → 182

Calls

4 calls:

81.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
97.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
76.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
7.0ms	(/ 1 (sqrt 2.0))

series442.0ms

Counts

4 → 10

Calls

4 calls:

136.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
192.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
113.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify97.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	684	2589
1	3667	2213
2	5002	2104

prune550.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite318.0ms

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×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp` `pow-div`
3×	`associate-/l/` `unswap-sqr`
2×	`cbrt-div` `pow-flip` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `*-commutative` `inv-pow`
1×	`frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `flip-+`

Counts

4 → 306

Calls

4 calls:

82.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
125.0ms	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
77.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
14.0ms	(/ (/ 1 2.0) (sqrt 2.0))

series759.0ms

Counts

4 → 10

Calls

4 calls:

145.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
504.0ms	(* (cbrt (/ (/ 1 2.0) (sqrt 2.0))) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
110.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms	(/ (/ 1 2.0) (sqrt 2.0))

simplify122.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1111	4314
1	4825	3957
2	5001	3957

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample6.2s

Algorithm: halfpoints