Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

267×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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: 9.3b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite62.0ms

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:

3.0ms	(- (* y z) x)
12.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
28.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
15.0ms	(/ (- (* y z) x) (- (* t z) x))

series283.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* y z) x)
80.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
118.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
53.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify71.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5001	947

prune246.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	6	111

Merged error: 0.8b

Counts

111 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
0.3b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.6b	(/ (- (* t z) x) (- (* y z) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

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

series376.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ x (/ 1 (/ (- (* t z) x) (- (* y z) x))))
143.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
80.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
58.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify72.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	633	2103
1	2900	1864
2	5001	1852

prune296.0ms

Filtered

186 candidates to 109 candidates (58.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	185	7	192

Merged error: 0.7b

Counts

192 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
11.7b	(/ (- (* y z) x) (- (* t z) x))
11.7b	(/ (- (* y z) x) (- (* t z) x))
11.7b	(/ (- (* y z) x) (- (* t z) x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
43×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/` `distribute-lft-out`
6×	`flip3--` `flip--` `associate-/l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 127

Calls

4 calls:

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

series420.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
54.0ms	(/ (- (* y z) x) (- (* t z) x))
56.0ms	(/ (- (* y z) x) (- (* t z) x))
53.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify142.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	339	1423
1	1042	1332
2	4542	1321
3	5002	1316

prune437.0ms

Filtered

139 candidates to 110 candidates (79.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	139	7	146

Merged error: 0.7b

Counts

146 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y t))
2.4b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(+ x (/ y t))
9.0ms	(/ (+ x (/ y t)) (+ x 1.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ x (/ y t))
38.0ms	(/ (+ x (/ y t)) (+ x 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	227	373
1	693	348
2	2231	348
3	5002	348

prune86.0ms

Filtered

58 candidates to 38 candidates (65.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.7b

Counts

65 → 9

regimes264.0ms

Accuracy

76.8% (1.5b remaining)

Error of 2.4b against oracle of 0.8b and baseline of 7.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	29
1	38	29

end0.0ms

sample626.0ms

Algorithm

intervals

Results

403.0ms

8329×

body

valid