Details

sample37.0ms

Algorithm

intervals

Results

16.0ms	117×	body	1280	valid
5.0ms	57×	body	640	valid
3.0ms	362×	pre	80	true
3.0ms	48×	body	320	valid
1.0ms	113×	body	80	valid
1.0ms	27×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

8.7b	(- (exp x) 1.0)

rewrite5.0ms

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)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(- (exp x) 1.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

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

prune37.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))
0.3b	(* 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)

series110.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x 1/6) 1/2)
66.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	268	306
1	1344	270
2	5001	266

prune119.0ms

Filtered

69 candidates to 45 candidates (65.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(+ 1.0 (exp x))
0.0b	(pow (exp x) 3)
8.5b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 192

Calls

4 calls:

65.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
5.0ms	(+ 1.0 (exp x))
2.0ms	(pow (exp x) 3)
18.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series159.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
8.0ms	(+ 1.0 (exp x))
23.0ms	(pow (exp x) 3)
36.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify94.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	605	2945
1	2678	2881
2	5001	2803

prune346.0ms

Filtered

204 candidates to 108 candidates (52.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(pow (exp x) 3)
0.1b	(cbrt (pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3))
8.5b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

235×	`add-sqr-sqrt`
168×	`cbrt-prod` `unpow-prod-down` `cube-prod`
150×	`times-frac`
139×	`*-un-lft-identity`
112×	`difference-of-squares`
67×	`add-cube-cbrt`
58×	`sqr-pow`
35×	`distribute-lft-out--`
8×	`add-log-exp`
7×	`difference-cubes`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3-+` `flip-+`
2×	`cube-mult` `unpow3` `div-inv`
1×	`+-commutative` `cube-div` `pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `pow-exp` `sum-log` `flip--` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 250

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
2.0ms	(pow (exp x) 3)
65.0ms	(cbrt (pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3))
17.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series161.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
23.0ms	(pow (exp x) 3)
90.0ms	(cbrt (pow (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))) 3))
41.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1300	4764
1	5002	4746

prune369.0ms

Filtered

262 candidates to 105 candidates (40.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes19.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

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

479.0ms	3392×	body	1280	valid
216.0ms	2513×	body	640	valid
102.0ms	11961×	pre	80	true
67.0ms	1281×	body	320	valid
51.0ms	4144×	body	80	valid
21.0ms	631×	body	160	valid