Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

313×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

10.0ms	(* (- 1.0 x) z)
6.0ms	(+ (* x y) (* (- 1.0 x) z))

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) z)
41.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify98.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune69.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
0.0b	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
1.9b	(* (- (pow 1.0 3) (pow x 3)) z)
12.5b	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

4.0ms	(+ (* x x) (* 1.0 x))
11.0ms	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
16.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
20.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x x) (* 1.0 x))
91.0ms	(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
46.0ms	(* (- (pow 1.0 3) (pow x 3)) z)
84.0ms	(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify75.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	517	890
1	2405	793
2	5001	787

prune241.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))
0.2b	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
39.5b	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))
4.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

series205.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- 1.0 x) z)
30.0ms	(+ (* x y) (* (- 1.0 x) z))
97.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
46.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	328	623
1	1625	581
2	5002	575

prune148.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes73.0ms

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	11	4
1	11	4

end0.0ms

sample439.0ms

Algorithm

intervals

Results

237.0ms

9987×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4