Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	114×	body	1280	valid
7.0ms	83×	body	640	valid
3.0ms	374×	pre	80	true
2.0ms	33×	body	320	valid
1.0ms	127×	body	80	valid
1.0ms	17×	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: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (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)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify54.0ms

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

prune43.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

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))
0.3b	(* 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)

series112.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x 1/6) 1/2)
60.0ms	(* (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 (8.0ms)

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

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(pow (exp x) 3)
4.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
88×	`*-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×	`associate-+l+` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 193

Calls

4 calls:

66.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
11.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
2.0ms	(pow (exp x) 3)
18.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series189.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
31.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
22.0ms	(pow (exp x) 3)
40.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify96.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	596	3033
1	2606	2958
2	5002	2879

prune381.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.1b	(cbrt (pow (- (pow (exp x) 3) (pow 1.0 3)) 3))
0.1b	(pow (- (pow (exp x) 3) (pow 1.0 3)) 3)
4.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-sqr-sqrt`
113×	`unpow-prod-down` `cube-prod`
80×	`difference-of-squares`
64×	`*-un-lft-identity`
56×	`cbrt-prod`
43×	`sqr-pow`
25×	`distribute-lft-out--`
14×	`add-cube-cbrt`
6×	`pow1` `pow-unpow` `add-cbrt-cube` `add-log-exp`
5×	`difference-cubes` `add-exp-log` `pow-pow`
4×	`cube-div`
3×	`cube-mult` `exp-prod` `flip3--` `unpow3` `flip--`
2×	`pow-to-exp` `cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`sub-neg` `pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 196

Calls

4 calls:

2.0ms	(pow (exp x) 3)
28.0ms	(cbrt (pow (- (pow (exp x) 3) (pow 1.0 3)) 3))
31.0ms	(pow (- (pow (exp x) 3) (pow 1.0 3)) 3)
17.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series167.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
40.0ms	(cbrt (pow (- (pow (exp x) 3) (pow 1.0 3)) 3))
63.0ms	(pow (- (pow (exp x) 3) (pow 1.0 3)) 3)
40.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	489	1774
1	2003	1730
2	5002	1718

prune302.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

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

481.0ms	3389×	body	1280	valid
217.0ms	2569×	body	640	valid
97.0ms	11928×	pre	80	true
68.0ms	1287×	body	320	valid
47.0ms	4113×	body	80	valid
19.0ms	570×	body	160	valid