Details

sample37.0ms

Algorithm

intervals

Results

16.0ms	113×	body	1280	valid
6.0ms	73×	body	640	valid
3.0ms	374×	pre	80	true
2.0ms	45×	body	320	valid
1.0ms	124×	body	80	valid
1.0ms	19×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize3.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (exp x) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune41.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`associate-l`
10×	`add-exp-log`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
6×	`associate-r`
5×	`pow1` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-prod-down` `pow-exp` `sum-log`

Counts

3 → 60

Calls

3 calls:

3.0ms	(+ (* x 1/6) 1/2)
13.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series116.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x 1/6) 1/2)
67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	268	293
1	1284	264
2	5001	264

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
51.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
8.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series160.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
95.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
37.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	250	730
1	1091	643
2	5001	617

prune175.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) 1.0))
6.7b	(log (exp (- (exp x) 1.0)))
6.7b	(- (exp x) 1.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
8×	`add-log-exp`
6×	`add-cube-cbrt` `log-pow`
5×	`log-prod`
4×	`pow1` `exp-sum`
3×	`add-exp-log` `sub-neg` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 51

Calls

3 calls:

11.0ms	(exp (- (exp x) 1.0))
11.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series67.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(exp (- (exp x) 1.0))
14.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	132	235
1	323	214
2	836	212
3	2686	212
4	5001	212

prune91.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

480.0ms	3471×	body	1280	valid
201.0ms	2452×	body	640	valid
95.0ms	11967×	pre	80	true
62.0ms	1220×	body	320	valid
46.0ms	4163×	body	80	valid
20.0ms	661×	body	160	valid