Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

270×

body

valid

simplify45.0ms

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

prune9.0ms

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: 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)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite39.0ms

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:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series272.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
22.0ms	(- (* t z) x)
113.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
58.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

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

prune457.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Merged error: 1.4b

Counts

111 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
7.6b	(/ (- (* t z) x) (- (* y z) x))

rewrite53.0ms

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:

4.0ms	(- (* t z) x)
11.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
21.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
8.0ms	(/ (- (* t z) x) (- (* y z) x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* t z) x)
82.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
147.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
55.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify83.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (63.0ms)

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

prune558.0ms

Filtered

185 candidates to 104 candidates (56.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	185	9	194

Merged error: 1.4b

Counts

194 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.1b	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
0.5b	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
7.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
81×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
29×	`associate-/r*`
19×	`add-exp-log`
13×	`associate-/r/` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`flip3--` `frac-2neg` `clear-num` `flip--`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 196

Calls

4 calls:

3.0ms	(- (* t z) x)
16.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
14.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series316.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* t z) x)
122.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
114.0ms	(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify89.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	631	2698
1	2895	2491
2	5001	2370

prune554.0ms

Filtered

208 candidates to 105 candidates (50.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	208	9	217

Merged error: 1.4b

Counts

217 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b	(cbrt (/ (- (* t z) x) (- (* y z) x)))
7.6b	(/ (- (* t z) x) (- (* y z) x))
7.6b	(/ (- (* t z) x) (- (* y z) x))
7.6b	(/ (- (* t z) x) (- (* y z) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 120

Calls

4 calls:

7.0ms	(cbrt (/ (- (* t z) x) (- (* y z) x)))
10.0ms	(/ (- (* t z) x) (- (* y z) x))
9.0ms	(/ (- (* t z) x) (- (* y z) x))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (/ (- (* t z) x) (- (* y z) x)))
60.0ms	(/ (- (* t z) x) (- (* y z) x))
55.0ms	(/ (- (* t z) x) (- (* y z) x))
61.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify86.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	273	1193
1	811	1114
2	2922	1112
3	5002	1107

prune694.0ms

Filtered

132 candidates to 111 candidates (84.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	132	9	141

Merged error: 1.4b

Counts

141 → 9

regimes513.0ms

Accuracy

60% (2.7b remaining)

Error of 3.4b against oracle of 0.8b and baseline of 7.4b

bsearch5.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample739.0ms

Algorithm

intervals

Results

370.0ms

8336×

body

valid

Details

sample30.0ms

simplify45.0ms

prune9.0ms

localize11.0ms

rewrite39.0ms

series272.0ms

simplify46.0ms

prune457.0ms

localize12.0ms

rewrite53.0ms

series307.0ms

simplify83.0ms

prune558.0ms

localize12.0ms

rewrite51.0ms

series316.0ms

simplify89.0ms

prune554.0ms

localize21.0ms

rewrite38.0ms

series344.0ms

simplify86.0ms

prune694.0ms

regimes513.0ms

bsearch5.0ms

simplify2.0ms

end0.0ms

sample739.0ms

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