Details

sample304.0ms

Algorithm

intervals

Results

5.0ms	82×	body	1280	valid
4.0ms	177×	body	80	valid
3.0ms	61×	body	640	valid
1.0ms	14×	body	320	valid
0.0ms	14×	body	160	valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	37	4
2	103	4
3	220	4
4	387	4
5	527	4
6	803	4
7	1602	4
8	2861	4
9	4334	4
10	4807	4
11	5001	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.0b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
6×	`add-cube-cbrt` `flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

33.0ms	(* (+ x 1.0) (+ x 1.0))
40.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series73.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ x 1.0) (+ x 1.0))
59.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	234	303
1	999	270
2	5001	261

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

20.0ms

(* x (+ 2.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* x (+ 2.0 x))

simplify74.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	123	85
1	594	76
2	2937	76
3	5001	76

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x 2.0) (pow x 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out` `unpow2`

Counts

1 → 12

Calls

1 calls:

13.0ms

(+ (* x 2.0) (pow x 2))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(+ (* x 2.0) (pow x 2))

simplify44.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	89	77
1	335	63
2	1146	59
3	5001	59

prune28.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3)))
0.1b	(* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x))))
4.0b	(- (/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x))))) 1.0)
11.8b	(/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x)))))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt` `frac-times`
13×	`flip3--` `flip--`
12×	`flip3-+` `associate-r` `flip-+`
9×	`associate-l`
8×	`pow1` `add-cube-cbrt` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out`
4×	`cbrt-undiv` `unpow-prod-down` `cube-prod` `div-exp`
3×	`difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l`

Counts

4 → 116

Calls

4 calls:

92.0ms	(* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3)))
49.0ms	(* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x))))
96.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x))))) 1.0)
58.0ms	(/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x)))))

series820.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3)))
35.0ms	(* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x))))
653.0ms	(- (/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x))))) 1.0)
85.0ms	(/ (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	807	1741
1	5002	1502

prune372.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample527.0ms

Algorithm

intervals

Results

145.0ms	2284×	body	1280	valid
91.0ms	5410×	body	80	valid
88.0ms	1702×	body	640	valid
34.0ms	812×	body	320	valid
11.0ms	400×	body	160	valid