Details

sample28.0ms

Algorithm

intervals

Results

15.0ms

317×

body

valid

simplify57.0ms

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

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: 10.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
10.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite29.0ms

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:

10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.0ms	(* (* z 2.0) (- 1.0 t))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series168.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
50.0ms	(* (* z 2.0) (- 1.0 t))
65.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify51.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

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

prune136.0ms

Filtered

71 candidates to 48 candidates (67.6%)

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: 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	(+ (/ 2.0 z) 2.0)
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite40.0ms

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:

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

series129.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
35.0ms	(+ (/ 2.0 z) 2.0)
39.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune196.0ms

Filtered

83 candidates to 60 candidates (72.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
0.0b	(* (* z 2.0) (- 1.0 t))
9.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
9.9b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

rewrite74.0ms

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:

33.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
13.0ms	(* (* z 2.0) (- 1.0 t))
9.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
13.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

series223.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
50.0ms	(* (* z 2.0) (- 1.0 t))
57.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)
67.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	648	1506
1	2536	1409
2	5003	1409

prune311.0ms

Filtered

151 candidates to 114 candidates (75.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Merged error: 0b

Counts

155 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (* t z))
3.3b	(* x (* t z))
3.8b	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
23.5b	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

4.0ms	(* y (* t z))
5.0ms	(* x (* t z))
5.0ms	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
10.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (* t z))
26.0ms	(* x (* t z))
68.0ms	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
178.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	382	760
1	1861	622
2	5002	622

prune160.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes147.0ms

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

sample773.0ms

Algorithm

intervals

Results

498.0ms

10505×

body

valid

Details

sample28.0ms

simplify57.0ms

prune3.0ms

localize11.0ms

rewrite29.0ms

series168.0ms

simplify51.0ms

prune136.0ms

localize9.0ms

rewrite40.0ms

series129.0ms

simplify49.0ms

prune196.0ms

localize12.0ms

rewrite74.0ms

series223.0ms

simplify72.0ms

prune311.0ms

localize13.0ms

rewrite26.0ms

series299.0ms

simplify54.0ms

prune160.0ms

regimes147.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample773.0ms

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