Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

327×

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: 8.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

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:

7.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series159.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (* z 2.0) (- 1.0 t))
47.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

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

prune164.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

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

11.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
17.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series129.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
53.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
41.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

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

prune201.0ms

Filtered

85 candidates to 62 candidates (72.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.9b	(/ 2.0 (* t z))

rewrite51.0ms

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:

16.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
19.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
10.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
4.0ms	(/ 2.0 (* t z))

series157.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
59.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
46.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
21.0ms	(/ 2.0 (* t z))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

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

prune201.0ms

Filtered

86 candidates to 58 candidates (67.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0)
0.0b	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
0.0b	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
0.2b	(/ (/ 2.0 z) t)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

38.0ms	(- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0)
42.0ms	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
30.0ms	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
6.0ms	(/ (/ 2.0 z) t)

series145.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0)
53.0ms	(+ (/ x y) (- (+ (/ (/ 2.0 z) t) (/ 2.0 t)) 2.0))
40.0ms	(+ (/ (/ 2.0 z) t) (/ 2.0 t))
22.0ms	(/ (/ 2.0 z) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	607	989
1	2259	950
2	5001	950

prune333.0ms

Filtered

138 candidates to 103 candidates (74.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	138	5	143

Merged error: 0b

Counts

143 → 5

regimes125.0ms

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	15	7
1	15	7

end0.0ms

sample667.0ms

Algorithm

intervals

Results

411.0ms

10469×

body

valid