Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

prune2.0ms

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: 10.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b	(- (* (* z 2.0) z) (* y t))
18.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`prod-diff`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
12×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`associate-/r/`
7×	`add-log-exp`
6×	`flip3--` `flip--`
4×	`fma-neg` `div-inv`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u`
2×	`sub-neg` `diff-log`
1×	`frac-2neg` `clear-num` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 89

Calls

3 calls:

9.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	506	1970
1	2392	1402
2	5002	1401

prune213.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 4.0b

Counts

99 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b	(- (* (* z 2.0) z) (* y t))
4.7b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.4b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
71×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
55×	`prod-diff`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
10×	`div-inv`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r/` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

12.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series363.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms	(- (* (* z 2.0) z) (* y t))
180.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify134.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	836	3783
1	3745	2919
2	5001	2916

prune356.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	182	8	190

Merged error: 2.1b

Counts

190 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
0.0b	(- (* z 2.0) (/ (* t y) z))
4.7b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.1b	(/ (* t y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`prod-diff`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `add-log-exp`
6×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

9.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0ms	(- (* z 2.0) (/ (* t y) z))
8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.0ms	(/ (* t y) z)

series308.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
39.0ms	(- (* z 2.0) (/ (* t y) z))
178.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify93.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	613	1989
1	2845	1406
2	5001	1405

prune245.0ms

Filtered

128 candidates to 82 candidates (64.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	129	7	136

Merged error: 0.2b

Counts

136 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
3.1b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.7b	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3` `associate-/r/`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
14.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt z)
181.0ms	(cbrt z)
54.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
217.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify78.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	577	1106
1	3052	915
2	5002	867

prune305.0ms

Filtered

124 candidates to 94 candidates (75.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	124	7	131

Merged error: 0.2b

Counts

131 → 7

regimes118.0ms

Accuracy

0% (0.9b remaining)

Error of 1.5b against oracle of 0.5b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample521.0ms

Algorithm

intervals

Results

314.0ms

8000×

body

valid