Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

265×

body

valid

simplify49.0ms

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 (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: 6.9b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0b	(/ (- (* 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	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series81.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
7.0ms	(- (* y z) x)
32.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5002	947

prune148.0ms

Filtered

110 candidates to 80 candidates (27.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Merged error: 0b

Counts

111 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.3b	(/ 1 (- (* t z) x))
8.8b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

3.0ms	(- (* y z) x)
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
12.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
33.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
18.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	459	1136
1	2073	1015
2	5002	984

prune143.0ms

Filtered

134 candidates to 88 candidates (34.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	134	7	141

Merged error: 0b

Counts

141 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.1b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.0b	(/ (- (* 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:

3.0ms	(- (* y z) x)
25.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
8.0ms	(/ (- (* t z) x) (- (* y z) x))

series82.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y z) x)
38.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
23.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
16.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	623	2022
1	2865	1858
2	5001	1779

prune153.0ms

Filtered

185 candidates to 106 candidates (42.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	185	7	192

Merged error: 0b

Counts

192 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
9.0b	(/ (- (* y z) x) (- (* t z) x))
9.0b	(/ (- (* y z) x) (- (* t z) x))
9.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

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:

12.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
8.0ms	(/ (- (* y z) x) (- (* t z) x))
8.0ms	(/ (- (* y z) x) (- (* t z) x))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series124.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
16.0ms	(/ (- (* y z) x) (- (* t z) x))
16.0ms	(/ (- (* y z) x) (- (* t z) x))
19.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	343	1418
1	1130	1327
2	5001	1316

prune234.0ms

Filtered

139 candidates to 110 candidates (20.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	139	7	146

Merged error: 0b

Counts

146 → 7

regimes464.0ms

Accuracy

88.3% (0.7b remaining)

Error of 2.2b against oracle of 1.5b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	29
1	39	29

end0.0ms

sample774.0ms

Algorithm

intervals

Results

398.0ms

8333×

body

valid

Details

sample42.0ms

simplify49.0ms

prune4.0ms

localize10.0ms

rewrite41.0ms

series81.0ms

simplify44.0ms

prune148.0ms

localize11.0ms

rewrite31.0ms

series63.0ms

simplify60.0ms

prune143.0ms

localize12.0ms

rewrite53.0ms

series82.0ms

simplify81.0ms

prune153.0ms

localize17.0ms

rewrite41.0ms

series124.0ms

simplify46.0ms

prune234.0ms

regimes464.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample774.0ms

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