Details

sample106.0ms

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

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)))

rewrite35.0ms

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:

28.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify165.0ms

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

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`associate-l`
18×	`cbrt-prod`
14×	`add-cube-cbrt`
13×	`times-frac`
10×	`add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube`
3×	`+-commutative` `flip3-+` `associate-r` `sum-log` `flip-+` `unswap-sqr`
1×	`cbrt-div` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 73

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
5.0ms	(+ (exp x) (exp (- x)))
5.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

series218.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
24.0ms	(+ (exp x) (exp (- x)))
22.0ms	(+ (exp x) (exp (- x)))
150.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))

simplify123.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	267	715
1	817	639
2	3513	634
3	5002	633

prune330.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
0.0b	(pow (exp x) 3)
0.0b	(pow (exp (- x)) 3)
15.6b	(- (exp (+ x x)) 1)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`associate-l`
18×	`cbrt-prod`
15×	`pow-pow`
13×	`exp-prod` `times-frac`
8×	`pow1`
7×	`add-cbrt-cube`
6×	`add-exp-log` `unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`difference-of-squares`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r` `exp-sum` `distribute-lft-out` `unswap-sqr`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `difference-of-sqr-1` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `cbrt-div` `flip3--` `exp-diff` `diff-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--`

Counts

4 → 117

Calls

4 calls:

27.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
2.0ms	(pow (exp x) 3)
5.0ms	(pow (exp (- x)) 3)
28.0ms	(- (exp (+ x x)) 1)

series222.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
23.0ms	(pow (exp x) 3)
25.0ms	(pow (exp (- x)) 3)
21.0ms	(- (exp (+ x x)) 1)

simplify57.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	453	739
1	1694	682
2	5001	669

prune599.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

5.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series127.0ms

Counts

4 → 6

Calls

4 calls:

127.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	140	283
1	407	263
2	1655	247
3	5001	247

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	43
1	34	43

end0.0ms

sample2.4s

Algorithm: halfpoints