Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify39.0ms

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

prune3.0ms

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: 13.7b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.8b	(- (* (* z 2.0) z) (* y t))
22.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

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)))

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))
187.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (66.0ms)

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

prune210.0ms

Filtered

98 candidates to 63 candidates (64.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 4.8b

Counts

99 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.8b	(- (* 2.0 (pow z 2)) (* t y))
6.2b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.6b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite27.0ms

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)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
38.0ms	(- (* 2.0 (pow z 2)) (* t y))
182.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
51.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (54.0ms)

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

prune265.0ms

Filtered

116 candidates to 84 candidates (72.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 4.8b

Counts

123 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.8b	(- (* (* z 2.0) z) (* y t))
6.1b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite40.0ms

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

series362.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms	(/ (- (* (* 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	3745	2919
2	5001	2916

prune360.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	4	3	7
Picked	1	0	1
Done	1	0	1
Total	184	6	190

Merged error: 1.9b

Counts

190 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.4b	(/ (* t y) z)
6.1b	(/ (* y 2.0) (- (* z 2.0) (/ (* 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))))
4.0ms	(/ (* t y) z)
8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
20.0ms	(/ (* t y) z)
167.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

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

prune171.0ms

Filtered

103 candidates to 66 candidates (64.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0.5b

Counts

109 → 5

regimes105.0ms

Accuracy

-22.5% (2.1b remaining)

Error of 2.6b against oracle of 0.5b and baseline of 2.2b

bsearch97.0ms

Steps

Iters	Range		Point
4	2.416860473021773e-81	3.638190877391266e-81	2.607693348704506e-81
11	-9.96145639526126e-30	-8.659375135041677e-57	-9.930269765305727e-54

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample782.0ms

Algorithm

intervals

Results

564.0ms

8000×

body

valid

Details

sample25.0ms

simplify39.0ms

prune3.0ms

localize12.0ms

rewrite27.0ms

series307.0ms

simplify82.0ms

prune210.0ms

localize12.0ms

rewrite27.0ms

series355.0ms

simplify69.0ms

prune265.0ms

localize11.0ms

rewrite40.0ms

series362.0ms

simplify128.0ms

prune360.0ms

localize10.0ms

rewrite25.0ms

series251.0ms

simplify67.0ms

prune171.0ms

regimes105.0ms

bsearch97.0ms

simplify1.0ms

end0.0ms

sample782.0ms

Profiling