Details

sample75.0ms

Algorithm

intervals

Results

49.0ms	173×	body	1280	valid
9.0ms	59×	body	640	valid
5.0ms	236×	body	80	valid
1.0ms	13×	body	320	valid
0.0ms	6×	body	160	valid

simplify217.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
2.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

4.0ms	(- (exp x) 2.0)
8.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-exp-log` `associate-r`
12×	`*-un-lft-identity`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`pow1` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
5.0ms	(* 1/360 (pow x 6))
5.0ms	(* 1/12 (pow x 4))

series279.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
58.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
47.0ms	(* 1/360 (pow x 6))
40.0ms	(* 1/12 (pow x 4))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	329	464
1	1456	439
2	5001	423

prune203.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (- (exp x) 2.0))
0.0b	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
0.0b	(* (+ (exp x) 2.0) (exp x))
1.8b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
11×	`associate-r` `associate-l`
10×	`pow1` `add-cube-cbrt` `add-cbrt-cube`
8×	`add-exp-log` `flip3-+` `flip-+`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `sub-neg` `associate-+l+` `associate-r/` `associate-l/`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-lft-out`
1×	`+-commutative` `flip3--` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 91

Calls

4 calls:

8.0ms	(* (exp x) (- (exp x) 2.0))
14.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
8.0ms	(* (+ (exp x) 2.0) (exp x))
9.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series217.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (exp x) (- (exp x) 2.0))
102.0ms	(* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1))
22.0ms	(* (+ (exp x) 2.0) (exp x))
59.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify69.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	458	843
1	2610	767
2	5001	766

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 2.0) (exp (log (+ (* (exp x) (- (exp x) 2.0)) 1))))
0.0b	(* (+ (exp x) 2.0) (exp x))
0.1b	(exp (log (+ (* (exp x) (- (exp x) 2.0)) 1)))
1.8b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`pow1` `flip3-+` `associate-r` `flip-+`
8×	`log-div` `exp-diff` `associate-l` `add-cbrt-cube`
7×	`log-prod` `exp-sum`
6×	`add-exp-log` `add-log-exp`
4×	`frac-times` `associate-+l+` `exp-prod` `associate-*l/`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `sum-log` `log-pow` `rem-exp-log`

Counts

4 → 84

Calls

4 calls:

16.0ms	(* (+ (exp x) 2.0) (exp (log (+ (* (exp x) (- (exp x) 2.0)) 1))))
7.0ms	(* (+ (exp x) 2.0) (exp x))
9.0ms	(exp (log (+ (* (exp x) (- (exp x) 2.0)) 1)))
9.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series232.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (+ (exp x) 2.0) (exp (log (+ (* (exp x) (- (exp x) 2.0)) 1))))
24.0ms	(* (+ (exp x) 2.0) (exp x))
60.0ms	(exp (log (+ (* (exp x) (- (exp x) 2.0)) 1)))
54.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	373	912
1	1762	820
2	5003	806

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5687×	body	1280	valid
194.0ms	1270×	body	640	valid
180.0ms	8186×	body	80	valid
55.0ms	585×	body	320	valid
18.0ms	296×	body	160	valid