Details

sample112.0ms

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	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: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.1b	(- (exp x) (exp (- x)))

rewrite69.0ms

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:

25.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
9.0ms	(- (exp x) (exp (- x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms	(+ (exp x) (exp (- x)))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (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

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
0.0b	(pow (+ (exp (* -1 x)) (exp x)) 3)
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.1b	(- (exp x) (exp (- x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
14×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`add-log-exp`
4×	`cube-div` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `associate-r`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow1/3` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 104

Calls

4 calls:

7.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
7.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
28.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
50.0ms	(pow (+ (exp (* -1 x)) (exp x)) 3)
78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	471	960
1	1683	865
2	5003	859

prune413.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp (* -1 x)) 3)
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(/ (pow (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) 3) (pow (- (+ (exp (+ (* -1 x) (* -1 x))) (exp (+ x x))) (exp (+ (* -1 x) x))) 3))
18.1b	(- (exp x) (exp (- x)))

rewrite468.0ms

Algorithm

rewrite-expression-head

Rules

787×	`*-un-lft-identity`
476×	`unpow-prod-down` `cube-prod`
448×	`times-frac`
262×	`add-sqr-sqrt`
240×	`distribute-lft-out`
149×	`add-cube-cbrt`
104×	`distribute-lft-out--`
54×	`difference-of-squares`
45×	`cube-mult` `unpow3` `sqr-pow`
38×	`sum-cubes`
24×	`associate-/l*`
21×	`add-exp-log`
19×	`associate-l`
18×	`associate-/r*`
12×	`add-cbrt-cube`
10×	`div-exp`
7×	`pow1` `pow-to-exp` `pow-exp` `add-log-exp`
5×	`cube-div`
3×	`pow-unpow` `pow-pow` `associate-r`
2×	`cbrt-undiv` `flip3--` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`exp-neg` `sub-neg` `exp-prod` `exp-to-pow` `frac-2neg` `mul-1-neg` `flip3-+` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `rem-cube-cbrt`

Counts

4 → 576

Calls

4 calls:

2.0ms	(pow (exp (* -1 x)) 3)
26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
390.0ms	(/ (pow (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) 3) (pow (- (+ (exp (+ (* -1 x) (* -1 x))) (exp (+ x x))) (exp (+ (* -1 x) x))) 3))
6.0ms	(- (exp x) (exp (- x)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (exp (* -1 x)) 3)
77.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
215.0ms	(/ (pow (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) 3) (pow (- (+ (exp (+ (* -1 x) (* -1 x))) (exp (+ x x))) (exp (+ (* -1 x) x))) 3))
42.0ms	(- (exp x) (exp (- x)))

simplify158.0ms

Algorithm

egg-herbie

Counts

588 → 588

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	970	17766
1	5002	15302

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.4b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.4b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
18.1b	(- (exp x) (exp (- x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 44

Calls

4 calls:

7.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
7.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
10.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
6.0ms	(- (exp x) (exp (- x)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
139.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
146.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
34.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	188	543
1	520	474
2	2011	461
3	5001	461

prune237.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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	19	16
1	19	16

end0.0ms

sample2.3s

Algorithm: halfpoints