Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

343×

body

valid

simplify52.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize14.0ms

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))

rewrite43.0ms

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:

12.0ms	(* (* z 2.0) (- 1.0 t))
17.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series45.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (* z 2.0) (- 1.0 t))
21.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
15.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

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

prune245.0ms

Filtered

71 candidates to 48 candidates (32.4%)

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

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))

rewrite41.0ms

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))

series25.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
5.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
5.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

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

prune335.0ms

Filtered

85 candidates to 62 candidates (27.1%)

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

19.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
14.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series23.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
5.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
5.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	325	566
1	950	542
2	3348	528
3	5002	520

prune252.0ms

Filtered

76 candidates to 51 candidates (32.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

80 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0)
0.1b	(* t (- (/ 2.0 z) 2.0))
0.3b	(* (/ 2.0 z) (/ 2.0 z))
13.7b	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
45×	`times-frac`
40×	`*-un-lft-identity`
36×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
13×	`pow1` `swap-sqr`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/` `div-inv` `difference-of-squares` `unswap-sqr`
4×	`flip3--` `flip--` `associate-/l*`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out--`
1×	`associate--l-` `pow2` `frac-times` `frac-2neg` `pow-plus` `diff-log` `associate-l/` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up`

Counts

4 → 137

Calls

4 calls:

20.0ms	(- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0)
10.0ms	(* t (- (/ 2.0 z) 2.0))
11.0ms	(* (/ 2.0 z) (/ 2.0 z))
16.0ms	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0))) 2.0)
5.0ms	(* t (- (/ 2.0 z) 2.0))
3.0ms	(* (/ 2.0 z) (/ 2.0 z))
9.0ms	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) (* t (- (/ 2.0 z) 2.0)))

simplify96.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	661	1121
1	3360	942
2	5001	902

prune1.5s

Filtered

149 candidates to 99 candidates (33.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	149	4	153

Merged error: 0.0b

Counts

153 → 4

regimes410.0ms

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

sample890.0ms

Algorithm

intervals

Results

449.0ms

10340×

body

valid

Details

sample40.0ms

simplify52.0ms

prune4.0ms

localize14.0ms

rewrite43.0ms

series45.0ms

simplify47.0ms

prune245.0ms

localize9.0ms

rewrite41.0ms

series25.0ms

simplify47.0ms

prune335.0ms

localize8.0ms

rewrite44.0ms

series23.0ms

simplify78.0ms

prune252.0ms

localize13.0ms

rewrite62.0ms

series28.0ms

simplify96.0ms

prune1.5s

regimes410.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample890.0ms

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