Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	3

prune2.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

8.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	240	207
1	997	192
2	5001	190

prune69.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

7.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
7.0ms	(* (- z) (+ x y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
37.0ms	(* (- z) (+ x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	387	384
1	1802	333
2	5003	332

prune103.0ms

Filtered

59 candidates to 44 candidates (74.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.0b

Counts

63 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

2.4b	(* (- (* x x) (* y y)) (- 1.0 z))
3.0b	(- (* x x) (* y y))
26.9b	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`flip3--` `flip--`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp` `difference-of-squares`
4×	`associate-r/` `associate-l` `associate-l/`
3×	`sub-neg` `distribute-lft-out--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

8.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
3.0ms	(- (* x x) (* y y))
12.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
31.0ms	(- (* x x) (* y y))
60.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify64.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	468	752
1	2490	669
2	5001	661

prune171.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))
0.1b	(* (+ x y) (+ (sqrt 1.0) (sqrt z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
24×	`flip3-+` `flip-+`
16×	`associate-*l/`
15×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-r`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
8×	`sqrt-prod`
5×	`add-cube-cbrt` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`
2×	`sub-neg` `*-commutative` `distribute-lft-out--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 85

Calls

2 calls:

17.0ms	(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))
10.0ms	(* (+ x y) (+ (sqrt 1.0) (sqrt z)))

series355.0ms

Counts

2 → 6

Calls

2 calls:

244.0ms	(* (* (+ x y) (+ (sqrt 1.0) (sqrt z))) (- (sqrt 1.0) (sqrt z)))
111.0ms	(* (+ x y) (+ (sqrt 1.0) (sqrt z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	657	1097
1	3983	935
2	5002	926

prune205.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	91	4	95

Merged error: 0b

Counts

95 → 4

regimes114.0ms

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	9	3
1	9	3

end0.0ms

sample432.0ms

Algorithm

intervals

Results

231.0ms	10194×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid