Details

sample50.0ms

Algorithm

intervals

Results

28.0ms

332×

body

valid

simplify64.0ms

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: 8.4b

Counts

2 → 1

localize12.0ms

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)))
8.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite30.0ms

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:

11.0ms	(* (* z 2.0) (- 1.0 t))
10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series153.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (* z 2.0) (- 1.0 t))
51.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
60.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify230.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune138.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 z) 2.0)
0.0b	(+ (/ x y) (- (* (/ 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` `*-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+` `flip3-+` `associate-r` `prod-exp` `flip-+`
3×	`sum-log` `distribute-lft-out` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `cbrt-unprod`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

3 → 74

Calls

3 calls:

6.0ms	(+ (/ 2.0 z) 2.0)
20.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series123.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (/ 2.0 z) 2.0)
56.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	499	587
1	2115	523
2	5001	506

prune172.0ms

Filtered

83 candidates to 60 candidates (72.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ (/ 2.0 z) 2.0)
22.0ms	(+ (/ 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)
50.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
38.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify93.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	329	497
1	978	468
2	3769	460
3	5001	455

prune124.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Merged error: 0b

Counts

78 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (/ 2.0 z) 2.0) t)
0.1b	(* (- (/ (+ (/ 2.0 z) 2.0) t) 2.0) y)
0.1b	(* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0))
20.9b	(/ (* (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0) (+ (* (- (/ (+ (/ 2.0 z) 2.0) t) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

9.0ms	(/ (+ (/ 2.0 z) 2.0) t)
20.0ms	(* (- (/ (+ (/ 2.0 z) 2.0) t) 2.0) y)
16.0ms	(* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0))
45.0ms	(/ (* (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0) (+ (* (- (/ (+ (/ 2.0 z) 2.0) t) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (+ (/ 2.0 z) 2.0) t)
49.0ms	(* (- (/ (+ (/ 2.0 z) 2.0) t) 2.0) y)
53.0ms	(* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0))
91.0ms	(/ (* (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0) (+ (* (- (/ (+ (/ 2.0 z) 2.0) t) 2.0) y) x)) (* y (+ (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	613	1376
1	3381	1140
2	5003	1140

prune241.0ms

Filtered

122 candidates to 85 candidates (69.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes159.0ms

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

sample831.0ms

Algorithm

intervals

Results

555.0ms

10381×

body

valid

Details

sample50.0ms

simplify64.0ms

prune2.0ms

localize12.0ms

rewrite30.0ms

series153.0ms

simplify230.0ms

prune138.0ms

localize11.0ms

rewrite41.0ms

series123.0ms

simplify55.0ms

prune172.0ms

localize10.0ms

rewrite40.0ms

series117.0ms

simplify93.0ms

prune124.0ms

localize18.0ms

rewrite93.0ms

series232.0ms

simplify85.0ms

prune241.0ms

regimes159.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample831.0ms

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