Details

sample34.0ms

Algorithm

intervals

Results

19.0ms

356×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 9.7b

Counts

2 → 1

localize10.0ms

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))

rewrite31.0ms

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:

15.0ms	(+ (/ 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))

series171.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
46.0ms	(* (* z 2.0) (- 1.0 t))
79.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune144.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize9.0ms

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)
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite42.0ms

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)
11.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
30.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
36.0ms	(* (/ 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

prune164.0ms

Filtered

85 candidates to 62 candidates (72.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Merged error: 0b

Counts

90 → 5

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)

rewrite44.0ms

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)

series113.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
50.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
36.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify75.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (68.0ms)

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

prune122.0ms

Filtered

76 candidates to 51 candidates (67.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.5b	(/ 2.0 (* t z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

18.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
12.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
13.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
4.0ms	(/ 2.0 (* t z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
30.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
48.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
21.0ms	(/ 2.0 (* t z))

simplify40.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	377	616
1	1293	579
2	5002	565

prune138.0ms

Filtered

86 candidates to 58 candidates (67.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	88	3	91

Merged error: 0b

Counts

91 → 3

regimes270.0ms

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

sample788.0ms

Algorithm

intervals

Results

507.0ms

10441×

body

valid