Details

sample110.0ms

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

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)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

30.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms	(+ (exp x) (exp (- x)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify174.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	286	487
1	1053	428
2	4913	426
3	5001	426

prune163.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`rem-sqrt-square` `pow1/2` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv`

Counts

4 → 80

Calls

4 calls:

8.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
11.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
64.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	268	701
1	924	578
2	3961	554
3	5002	548

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

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))

series459.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify101.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log` `add-sqr-sqrt` `times-frac`
44×	`*-un-lft-identity`
40×	`add-cube-cbrt`
32×	`sqrt-prod` `add-cbrt-cube`
22×	`associate-l`
18×	`div-exp`
17×	`prod-exp`
12×	`associate-/r*`
10×	`cbrt-undiv` `associate-r`
9×	`cbrt-unprod`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`pow-flip` `fma-def` `associate-*r/`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-times` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `distribute-lft-out` `inv-pow`

Counts

4 → 164

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
8.0ms	(/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0))
30.0ms	(* (/ 1 (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)))
3.0ms	(/ 1 (sqrt 2.0))

series270.0ms

Counts

4 → 10

Calls

4 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
101.0ms	(/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0))
147.0ms	(* (/ 1 (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)))
0.0ms	(/ 1 (sqrt 2.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	587	1707
1	3625	1422
2	5002	1313

prune370.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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	10
1	12	10

end0.0ms

sample1.9s

Algorithm: halfpoints