Details

sample33.0ms

Algorithm

intervals

Results

18.0ms

358×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

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: 2.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.4b	(* (* z 3.0) y)
6.0b	(/ t (* (* z 3.0) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`cbrt-undiv` `fma-def` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

14.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms	(/ y (* z 3.0))
5.0ms	(* (* z 3.0) y)
7.0ms	(/ t (* (* z 3.0) y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
23.0ms	(/ y (* z 3.0))
28.0ms	(* (* z 3.0) y)
35.0ms	(/ t (* (* z 3.0) y))

simplify91.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	500	905
1	2477	746
2	5001	698

prune371.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	10	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Merged error: 0b

Counts

128 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
4.4b	(/ (/ t (* z 3.0)) y)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
45×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
23×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

23.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
5.0ms	(/ t (* z 3.0))
5.0ms	(/ y (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series177.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
23.0ms	(/ t (* z 3.0))
23.0ms	(/ y (* z 3.0))
36.0ms	(/ (/ t (* z 3.0)) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	577	1093
1	2337	935
2	5001	887

prune411.0ms

Filtered

155 candidates to 120 candidates (77.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	156	9	165

Merged error: 0b

Counts

165 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(/ (/ t z) 3.0)
4.4b	(/ (/ (/ t z) 3.0) y)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 329

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
5.0ms	(/ y (* z 3.0))
7.0ms	(/ (/ t z) 3.0)
14.0ms	(/ (/ (/ t z) 3.0) y)

series124.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- x (/ y (* z 3.0)))
22.0ms	(/ y (* z 3.0))
23.0ms	(/ (/ t z) 3.0)
35.0ms	(/ (/ (/ t z) 3.0) y)

simplify156.0ms

Algorithm

egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1341	2948
1	4982	2706
2	5001	2706

prune1.0s

Filtered

341 candidates to 275 candidates (80.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	341	0	341
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	341	9	350

Merged error: 0b

Counts

350 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* 3.0 (* z y))))
0.2b	(/ y (* z 3.0))
0.2b	(* 3.0 (* z y))
6.0b	(/ t (* 3.0 (* z y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`cbrt-undiv` `fma-def` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

14.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* 3.0 (* z y))))
5.0ms	(/ y (* z 3.0))
10.0ms	(* 3.0 (* z y))
7.0ms	(/ t (* 3.0 (* z y)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* 3.0 (* z y))))
29.0ms	(/ y (* z 3.0))
24.0ms	(* 3.0 (* z y))
35.0ms	(/ t (* 3.0 (* z y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	503	903
1	2046	744
2	5002	696

prune316.0ms

Filtered

127 candidates to 92 candidates (72.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	127	9	136

Merged error: 0b

Counts

136 → 9

regimes240.0ms

Accuracy

-7.3% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

sample767.0ms

Algorithm

intervals

Results

472.0ms

11107×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Details

sample33.0ms

simplify85.0ms

prune3.0ms

localize11.0ms

rewrite35.0ms

series178.0ms

simplify91.0ms

prune371.0ms

localize10.0ms

rewrite46.0ms

series177.0ms

simplify88.0ms

prune411.0ms

localize11.0ms

rewrite56.0ms

series124.0ms

simplify156.0ms

prune1.0s

localize11.0ms

rewrite40.0ms

series177.0ms

simplify89.0ms

prune316.0ms

regimes240.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample767.0ms

Profiling

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7