Details

analyze646.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune3.0ms

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: 6.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
17.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series82.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune147.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.8b

Counts

111 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
8.4b	(/ (- (* t z) x) (- (* y z) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

3.0ms	(- (* t z) x)
21.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
8.0ms	(/ (- (* t z) x) (- (* y z) x))

series274.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(- (* t z) x)
36.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
23.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
18.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	633	2022
1	2917	1858
2	5002	1779

prune158.0ms

Filtered

105 candidates to 185 candidates (-76.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	185	8	193

Merged error: 0.8b

Counts

193 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
0.3b	(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
2.8b	(/ x (- (* y z) x))
9.5b	(/ (* t z) (- (* y z) x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
63×	`times-frac`
59×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
26×	`associate-/r/`
19×	`associate-/r*`
17×	`add-exp-log` `div-inv`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
12×	`distribute-rgt-out--` `associate-/l*`
11×	`flip3--` `flip--`
8×	`difference-of-squares`
6×	`div-exp`
5×	`pow1` `cbrt-undiv`
4×	`frac-2neg` `clear-num` `distribute-lft-out--` `add-log-exp`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`rec-exp` `pow-flip` `1-exp` `prod-exp` `frac-sub` `cbrt-unprod` `inv-pow` `sub-div`

Counts

4 → 156

Calls

4 calls:

30.0ms	(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
18.0ms	(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
5.0ms	(/ x (- (* y z) x))
6.0ms	(/ (* t z) (- (* y z) x))

series97.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
33.0ms	(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
11.0ms	(/ x (- (* y z) x))
12.0ms	(/ (* t z) (- (* y z) x))

simplify70.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	584	2002
1	2566	1868
2	5002	1826

prune153.0ms

Filtered

101 candidates to 168 candidates (-66.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	168	8	176

Merged error: 0.8b

Counts

176 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ 1 (+ x 1.0))
0.1b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
8.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
35×	`times-frac`
30×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
8×	`distribute-lft-out`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3-+` `associate-l` `prod-exp` `flip-+`
3×	`cbrt-undiv` `flip3--` `flip--` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 127

Calls

4 calls:

3.0ms	(- (* t z) x)
7.0ms	(/ 1 (+ x 1.0))
18.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series58.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
2.0ms	(/ 1 (+ x 1.0))
33.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
18.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify61.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	532	1086
1	2359	980
2	5003	946

prune116.0ms

Filtered

89 candidates to 139 candidates (-56.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	139	8	147

Merged error: 0.8b

Counts

147 → 8

regimes297.0ms

Accuracy

57.6% (2.7b remaining)

Error of 3.7b against oracle of 1.0b and baseline of 7.4b

bsearch1.3s

Steps

Iters	Range		Point
10	1.569194999078564e+81	9.533001321064427e+90	3.9832145439284266e+83
7	-3.2520296584250084e+75	-2.787130248547021e+73	-2.335482817363644e+75

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

analyze641.0ms

Algorithm: search

sample578.0ms

Algorithm

intervals

Results

368.0ms	8000×	body	80	valid
15.0ms	344×	body	80	invalid

Details

analyze646.0ms

sample21.0ms

simplify41.0ms

prune3.0ms

localize11.0ms

rewrite41.0ms

series82.0ms

simplify45.0ms

prune147.0ms

localize13.0ms

rewrite52.0ms

series274.0ms

simplify76.0ms

prune158.0ms

localize13.0ms

rewrite65.0ms

series97.0ms

simplify70.0ms

prune153.0ms

localize12.0ms

rewrite40.0ms

series58.0ms

simplify61.0ms

prune116.0ms

regimes297.0ms

bsearch1.3s

simplify2.0ms

end0.0ms

analyze641.0ms

sample578.0ms

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