Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

268×

body

valid

simplify42.0ms

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 (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: 8.4b

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)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite38.0ms

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

series300.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
27.0ms	(- (* t z) x)
125.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
61.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

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

prune516.0ms

Filtered

110 candidates to 80 candidates (27.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 1.8b

Counts

111 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.3b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
1.7b	(/ x (- (* t z) x))
10.7b	(/ (* y z) (- (* t z) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`distribute-lft-out--`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

3.0ms	(- (* t z) x)
22.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ (* y z) (- (* t z) x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (* t z) x)
125.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
69.0ms	(/ x (- (* t z) x))
37.0ms	(/ (* y z) (- (* t z) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	426	1173
1	1816	1082
2	5001	1081

prune668.0ms

Filtered

122 candidates to 82 candidates (32.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 0.3b

Counts

132 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
1.7b	(/ x (- (* t z) x))
2.2b	(/ y (/ (- (* t z) x) z))
6.1b	(/ (- (* t z) x) z)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`
1×	`associate-+r-`

Counts

4 → 175

Calls

4 calls:

43.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ y (/ (- (* t z) x) z))
6.0ms	(/ (- (* t z) x) z)

series277.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
68.0ms	(/ x (- (* t z) x))
40.0ms	(/ y (/ (- (* t z) x) z))
42.0ms	(/ (- (* t z) x) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	658	1825
1	2896	1719
2	5001	1719

prune2.1s

Filtered

187 candidates to 139 candidates (25.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	187	7	194

Merged error: 0.2b

Counts

194 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.3b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
1.7b	(/ x (- (* t z) x))
2.2b	(/ y (- t (/ x z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
34×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`associate-/r*`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`distribute-lft-out--`
8×	`difference-of-squares`
6×	`associate-/r/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub`

Counts

4 → 128

Calls

4 calls:

3.0ms	(- (* t z) x)
35.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
8.0ms	(/ y (- t (/ x z)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* t z) x)
118.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
70.0ms	(/ x (- (* t z) x))
33.0ms	(/ y (- t (/ x z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	465	1246
1	1684	1172
2	5001	1171

prune954.0ms

Filtered

140 candidates to 96 candidates (31.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	140	7	147

Merged error: 0.2b

Counts

147 → 7

regimes306.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample718.0ms

Algorithm

intervals

Results

362.0ms

8336×

body

valid

Details

sample29.0ms

simplify42.0ms

prune9.0ms

localize11.0ms

rewrite38.0ms

series300.0ms

simplify44.0ms

prune516.0ms

localize12.0ms

rewrite40.0ms

series261.0ms

simplify49.0ms

prune668.0ms

localize12.0ms

rewrite67.0ms

series277.0ms

simplify79.0ms

prune2.1s

localize13.0ms

rewrite56.0ms

series249.0ms

simplify48.0ms

prune954.0ms

regimes306.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample718.0ms

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