Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	41	5
6	66	5
7	165	5
8	1123	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

15.0ms	(+ (exp x) (exp (- x)))
21.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series58.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp x) (exp (- x)))
37.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify129.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	200	433
1	666	397
2	3139	394
3	5001	393

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
0.0b	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
0.0b	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 164

Calls

4 calls:

14.0ms	(+ (exp (* -1 x)) (exp x))
18.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
21.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
25.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

series168.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp (* -1 x)) (exp x))
34.0ms	(/ 2.0 (+ (exp (* -1 x)) (exp x)))
36.0ms	(cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))
74.0ms	(pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	475	1674
1	2035	1559
2	5001	1539

prune314.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))))
0.0b	(cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))
0.0b	(pow (* (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))) 3)
0.0b	(* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
90×	`times-frac`
82×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
46×	`cbrt-prod`
39×	`associate-r`
24×	`swap-sqr` `distribute-lft-out`
22×	`associate-l`
21×	`add-exp-log` `cbrt-div`
17×	`add-cbrt-cube`
16×	`pow1`
12×	`associate-/r/`
11×	`frac-times` `associate-*l/`
10×	`unswap-sqr`
7×	`cube-div` `associate-*r/`
6×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
5×	`pow1/3` `pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `pow-pow` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow3` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `pow-plus` `unpow3` `cube-prod` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 205

Calls

4 calls:

50.0ms	(* (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))))
10.0ms	(cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))
18.0ms	(pow (* (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))) 3)
89.0ms	(* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))

series646.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))))
183.0ms	(cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))
280.0ms	(pow (* (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))) 3)
56.0ms	(* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	832	3479
1	5002	3059

prune651.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	8	5
1	8	5

end0.0ms

sample279.0ms

Algorithm

intervals

Results

165.0ms

8000×

body

valid