Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

325×

body

valid

simplify52.0ms

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: 8.9b

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)))
8.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite25.0ms

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))
10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series150.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (* z 2.0) (- 1.0 t))
45.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
61.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune161.0ms

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: 0.0b

Counts

72 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
14.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series92.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	489	525
1	2096	469
2	5001	452

prune193.0ms

Filtered

68 candidates to 50 candidates (73.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

17.0ms	(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series84.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
36.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify92.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	326	455
1	1080	429
2	4475	402
3	5001	402

prune141.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize11.0ms

Local error

Found 4 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))
7.9b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
8.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
63×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
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` `div-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-*r/` `clear-num` `flip-+` `distribute-lft-out`
1×	`+-commutative` `flip3--` `associate-l` `frac-add` `sum-log` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 139

Calls

4 calls:

7.0ms	(* (* z 2.0) (- 1.0 t))
30.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
7.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
5.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series217.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* z 2.0) (- 1.0 t))
47.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
61.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
67.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5001	1409

prune372.0ms

Filtered

151 candidates to 115 candidates (76.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	151	5	156

Merged error: 0.0b

Counts

156 → 5

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	21	7
2	21	7

end0.0ms

sample698.0ms

Algorithm

intervals

Results

424.0ms

10447×

body

valid