Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

329×

body

valid

simplify57.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 9.2b

Counts

2 → 1

localize10.0ms

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))
9.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

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:

12.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms	(* (* z 2.0) (- 1.0 t))
7.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series27.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(* (* z 2.0) (- 1.0 t))
9.0ms	(/ (+ 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

prune99.0ms

Filtered

71 candidates to 48 candidates (32.4%)

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: 0b

Counts

72 → 5

localize9.0ms

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))

rewrite30.0ms

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:

17.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series30.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
7.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (42.0ms)

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

prune97.0ms

Filtered

68 candidates to 50 candidates (26.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 0b

Counts

73 → 5

localize11.0ms

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))
6.5b	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
8.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite54.0ms

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:

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
6.0ms	(* (* z 2.0) (- 1.0 t))
9.0ms	(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
8.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (15.0ms)

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

prune200.0ms

Filtered

151 candidates to 114 candidates (24.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	151	5	156

Merged error: 0b

Counts

156 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b	(* y (* t z))
2.6b	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
3.9b	(* x (* t z))
21.0b	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite25.0ms

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

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (* t z))
20.0ms	(+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
5.0ms	(* x (* t z))
36.0ms	(/ (+ (* 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 (10.0ms)

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

prune90.0ms

Filtered

86 candidates to 61 candidates (29.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	87	4	91

Merged error: 0b

Counts

91 → 4

regimes286.0ms

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

sample987.0ms

Algorithm

intervals

Results

519.0ms

10365×

body

valid

Details

sample47.0ms

simplify57.0ms

prune4.0ms

localize10.0ms

rewrite28.0ms

series27.0ms

simplify48.0ms

prune99.0ms

localize9.0ms

rewrite30.0ms

series30.0ms

simplify51.0ms

prune97.0ms

localize11.0ms

rewrite54.0ms

series35.0ms

simplify69.0ms

prune200.0ms

localize13.0ms

rewrite25.0ms

series66.0ms

simplify54.0ms

prune90.0ms

regimes286.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample987.0ms

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