Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

340×

body

valid

simplify53.0ms

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

prune5.0ms

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: 12.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
12.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

3.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
7.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series140.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
43.0ms	(* (* z 2.0) (- 1.0 t))
63.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify47.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	347	476
1	1536	413
2	5001	406

prune135.0ms

Filtered

73 candidates to 48 candidates (65.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

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

series68.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
37.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	371	396
1	1678	341
2	5001	315

prune118.0ms

Filtered

62 candidates to 43 candidates (69.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `associate-/l*` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`

Counts

2 → 48

Calls

2 calls:

12.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series69.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- (/ (+ (/ 2.0 z) 2.0) t) 2.0)
37.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	202	352
1	566	333
2	1831	324
3	5002	317

prune91.0ms

Filtered

54 candidates to 36 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b	(* (* z 2.0) (- 1.0 t))
10.2b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
11.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

4.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
7.0ms	(* (* z 2.0) (- 1.0 t))
11.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series205.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 2.0 (* (* z 2.0) (- 1.0 t)))
49.0ms	(* (* z 2.0) (- 1.0 t))
67.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
56.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	588	1432
1	2346	1339
2	5002	1339

prune330.0ms

Filtered

152 candidates to 113 candidates (74.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	152	4	156

Merged error: 0b

Counts

156 → 4

regimes148.0ms

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

sample755.0ms

Algorithm

intervals

Results

483.0ms

10416×

body

valid