Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

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: 11.6b

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))
20.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite28.0ms

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))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms	(- (* (* z 2.0) z) (* y t))
187.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (68.0ms)

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

prune221.0ms

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: 6.3b

Counts

99 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.9b	(- (* 2.0 (pow z 2)) (* t y))
4.7b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
20.0b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
15×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `associate-/r/` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 104

Calls

4 calls:

3.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
5.0ms	(- (* 2.0 (pow z 2)) (* t y))
11.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
40.0ms	(- (* 2.0 (pow z 2)) (* t y))
190.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
52.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	435	1047
1	2138	914
2	5001	909

prune268.0ms

Filtered

116 candidates to 84 candidates (72.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	115	10	125

Merged error: 6.3b

Counts

125 → 10

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))
5.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.9b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite42.0ms

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:

13.0ms	(- 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)

series373.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
40.0ms	(- (* (* z 2.0) z) (* y t))
189.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify128.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	836	3783
1	3744	2919
2	5002	2916

prune354.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	182	9	191

Merged error: 3.2b

Counts

191 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
6.6b	(/ (* t y) z)

rewrite25.0ms

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)))
5.0ms	(/ (* t y) z)

series260.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
172.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms	(/ (* t y) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

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

prune177.0ms

Filtered

103 candidates to 65 candidates (63.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	105	7	112

Merged error: 0.2b

Counts

112 → 7

regimes116.0ms

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.5b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample582.0ms

Algorithm

intervals

Results

375.0ms

8000×

body

valid