Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

337×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

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: 9.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series158.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
48.0ms	(* (* z 2.0) (- 1.0 t))
64.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473

prune139.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.0b	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-exp-log`
11×	`add-cube-cbrt` `times-frac`
10×	`add-log-exp`
8×	`add-cbrt-cube`
5×	`pow1`
4×	`associate-+r+` `associate-r` `prod-exp` `associate--l+`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `unswap-sqr`
2×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `div-exp` `frac-add` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

3 → 76

Calls

3 calls:

16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
10.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
31.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
41.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	499	648
1	2111	584
2	5001	567

prune168.0ms

Filtered

85 candidates to 62 candidates (72.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
0.0b	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
0.1b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
10×	`add-log-exp`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*`
3×	`pow1` `associate-/r*`
2×	`sub-neg` `associate-+r+` `flip3--` `flip3-+` `diff-log` `frac-add` `sum-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 67

Calls

3 calls:

16.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
18.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series117.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
51.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
38.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify79.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	325	566
1	950	542
2	3362	528
3	5002	520

prune132.0ms

Filtered

76 candidates to 52 candidates (68.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (* (/ 1 t) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)))
0.0b	(* (* z 2.0) (- 1.0 t))
0.1b	(* (/ 1 t) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z))
9.0b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
34×	`times-frac`
33×	`add-exp-log`
31×	`*-un-lft-identity`
27×	`add-cube-cbrt`
23×	`add-cbrt-cube`
18×	`associate-r`
14×	`associate-l`
11×	`pow1` `prod-exp`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`associate-*r/` `pow-prod-down`
3×	`frac-add` `associate-/r` `div-inv` `associate-/l`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `flip3-+` `1-exp` `associate-l/` `-commutative` `flip-+` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `clear-num` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

6.0ms	(+ (/ x y) (* (/ 1 t) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)))
7.0ms	(* (* z 2.0) (- 1.0 t))
17.0ms	(* (/ 1 t) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)

series216.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (/ x y) (* (/ 1 t) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)))
51.0ms	(* (* z 2.0) (- 1.0 t))
63.0ms	(* (/ 1 t) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z))
48.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) z)

simplify84.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	687	1221
1	3416	1077
2	5001	1071

prune266.0ms

Filtered

137 candidates to 95 candidates (69.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	136	5	141

Merged error: 0b

Counts

141 → 5

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample736.0ms

Algorithm

intervals

Results

483.0ms

10382×

body

valid

Details

sample29.0ms

simplify54.0ms

prune2.0ms

localize11.0ms

rewrite25.0ms

series158.0ms

simplify49.0ms

prune139.0ms

localize10.0ms

rewrite40.0ms

series128.0ms

simplify49.0ms

prune168.0ms

localize8.0ms

rewrite45.0ms

series117.0ms

simplify79.0ms

prune132.0ms

localize12.0ms

rewrite40.0ms

series216.0ms

simplify84.0ms

prune266.0ms

regimes167.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample736.0ms

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