Details

sample268.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.9b	(- (exp x) (exp (- x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp x) (exp (- x)))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
84.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	508	967
1	1773	853
2	5001	852

prune415.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
35×	`associate-l`
34×	`*-un-lft-identity`
28×	`add-cube-cbrt`
25×	`associate-r`
24×	`add-exp-log`
23×	`times-frac`
18×	`add-cbrt-cube`
11×	`unswap-sqr`
10×	`prod-exp`
8×	`pow1` `unpow-prod-down`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `div-inv`
1×	`cube-mult` `unpow3`

Counts

4 → 123

Calls

4 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms	(* 1/60 (pow x 5))
12.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
10.0ms	(* 1/3 (pow x 3))

series247.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
54.0ms	(* 1/60 (pow x 5))
93.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
37.0ms	(* 1/3 (pow x 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	599	1025
1	2536	897
2	5001	897

prune623.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

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))
0.3b	(* (/ 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))

rewrite59.0ms

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:

14.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
19.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
11.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
8.0ms	(/ 1 (sqrt 2.0))

series518.0ms

Counts

4 → 10

Calls

4 calls:

165.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
222.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
130.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	684	2590
1	3667	2213
2	5002	2104

prune839.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize71.0ms

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
68×	`times-frac`
63×	`add-sqr-sqrt`
61×	`sqrt-prod`
60×	`add-cbrt-cube`
47×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-l`
25×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `div-exp`
16×	`associate-r`
15×	`associate-/r*`
8×	`pow1`
7×	`unswap-sqr`
5×	`div-inv`
4×	`associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 182

Calls

4 calls:

14.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
27.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))) (/ (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
12.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
12.0ms	(/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))

series526.0ms

Counts

4 → 10

Calls

4 calls:

162.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
232.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0))) (/ (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)) (sqrt (sqrt 2.0))))
132.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms	(/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 2.0)))

simplify128.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	877	3605
1	4791	2985
2	5002	2933

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	19
1	35	19

end0.0ms

sample6.0s

Algorithm: halfpoints