Details

sample115.0ms

Algorithm: halfpoints

simplify59.0ms

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: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

27.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms	(+ (exp x) (exp (- x)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))

simplify172.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	402

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series466.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
0.7b	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
1.0b	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
86×	`times-frac`
73×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
54×	`add-exp-log`
50×	`associate-l`
49×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1` `distribute-lft-out`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
7×	`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 → 195

Calls

4 calls:

33.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
41.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
17.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
3.0ms	(/ 1 (sqrt 2.0))

series335.0ms

Counts

4 → 10

Calls

4 calls:

109.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
145.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
81.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	609	2113
1	3335	1803
2	5001	1701

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.3b	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
0.7b	(* (pow 2.0 (- 1/2)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
1.0b	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
50×	`times-frac`
47×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
35×	`add-exp-log` `associate-l`
28×	`sqrt-prod`
20×	`add-cbrt-cube`
17×	`prod-exp`
14×	`distribute-lft-out`
7×	`cbrt-unprod`
6×	`pow1` `associate-l/` `associate-/r` `add-log-exp`
5×	`div-exp`
4×	`associate-r` `associate-/l*`
3×	`cbrt-undiv` `pow-to-exp` `unpow-prod-down` `pow-exp` `unswap-sqr`
2×	`neg-sub0` `frac-times` `pow-neg` `flip3-+` `*-commutative` `flip-+` `div-inv` `associate-/l/` `pow-sub`
1×	`+-commutative` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `sum-log` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
31.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
36.0ms	(* (pow 2.0 (- 1/2)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
17.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

series362.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
105.0ms	(* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y))
158.0ms	(* (pow 2.0 (- 1/2)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)))
77.0ms	(/ (+ (exp x) (exp (- x))) (sqrt 2.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	543	1688
1	2549	1503
2	5001	1498

prune380.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample1.9s

Algorithm: halfpoints