Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

334×

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

prune3.0ms

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: 9.4b

Counts

2 → 1

localize10.0ms

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)))
9.4b	(/ (+ 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))

series158.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (* z 2.0) (- 1.0 t))
46.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune149.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	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	(+ (/ 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))

rewrite37.0ms

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)
16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series127.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ 2.0 z) 2.0)
53.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
41.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune198.0ms

Filtered

83 candidates to 60 candidates (72.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.6b	(/ 2.0 (* t z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out`
5×	`add-sqr-sqrt` `add-cube-cbrt` `sum-log`
3×	`pow1` `associate-+r+` `times-frac` `frac-add` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `diff-log` `div-exp` `flip-+` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `flip--` `cbrt-unprod`

Counts

3 → 57

Calls

3 calls:

19.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
14.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
8.0ms	(/ 2.0 (* t z))

series131.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
51.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
22.0ms	(/ 2.0 (* t z))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	364	467
1	1273	436
2	5001	426

prune124.0ms

Filtered

66 candidates to 46 candidates (69.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	67	4	71

Merged error: 0b

Counts

71 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)) (/ 2.0 t))
0.3b	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
0.4b	(/ (sqrt 2.0) t)
0.5b	(/ (sqrt 2.0) z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/r*` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`frac-add`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 165

Calls

4 calls:

11.0ms	(+ (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)) (/ 2.0 t))
16.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
4.0ms	(/ (sqrt 2.0) t)
4.0ms	(/ (sqrt 2.0) z)

series306.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z)) (/ 2.0 t))
79.0ms	(* (/ (sqrt 2.0) t) (/ (sqrt 2.0) z))
70.0ms	(/ (sqrt 2.0) t)
50.0ms	(/ (sqrt 2.0) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	533	1142
1	2494	1023
2	5001	1008

prune358.0ms

Filtered

177 candidates to 117 candidates (66.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	177	4	181

Merged error: 0b

Counts

181 → 4

regimes110.0ms

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	18	7
1	18	7

end0.0ms

sample820.0ms

Algorithm

intervals

Results

511.0ms

10309×

body

valid