Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 11.8b

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))))
0.6b	(- (* (* z 2.0) z) (* y t))
18.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite31.0ms

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))
13.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series307.0ms

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))
188.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (65.0ms)

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

prune222.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Merged error: 5.3b

Counts

99 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.6b	(- (* (* z 2.0) z) (* y t))
4.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.4b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite43.0ms

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:

15.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series355.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
36.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
51.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify135.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (105.0ms)

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

prune429.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	173	8	181
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	180	9	189

Merged error: 1.9b

Counts

189 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.8b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0b	(/ (* t y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

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

series257.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
169.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	507	1752
1	2223	1227
2	5001	1226

prune224.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	7	1	8
Picked	1	0	1
Done	0	0	0
Total	107	5	112

Merged error: 0.5b

Counts

112 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
3.7b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.8b	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite28.0ms

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)
15.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
7.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt z)
172.0ms	(cbrt z)
47.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
212.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (61.0ms)

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

prune361.0ms

Filtered

124 candidates to 94 candidates (75.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	123	6	129

Merged error: 0.5b

Counts

129 → 6

regimes115.0ms

Accuracy

0% (1.1b remaining)

Error of 1.6b against oracle of 0.5b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample512.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid