Details

sample30.0ms

Algorithm

intervals

Results

16.0ms

342×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 4.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(/ y (* z 3.0))
7.5b	(/ t (* (* z 3.0) y))

rewrite34.0ms

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	(* (* z 3.0) y)
5.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

series158.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms	(* (* z 3.0) y)
20.0ms	(/ y (* z 3.0))
35.0ms	(/ t (* (* z 3.0) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (69.0ms)

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

prune358.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	118	9	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	9	128

Merged error: 0.0b

Counts

128 → 9

localize10.0ms

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))
0.3b	(/ t (* z 3.0))
5.1b	(/ (/ 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:

24.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
5.0ms	(/ y (* z 3.0))
5.0ms	(/ t (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series156.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
20.0ms	(/ y (* z 3.0))
20.0ms	(/ t (* z 3.0))
31.0ms	(/ (/ t (* z 3.0)) y)

simplify87.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (67.0ms)

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

prune410.0ms

Filtered

155 candidates to 121 candidates (78.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	156	8	164

Merged error: 0.0b

Counts

164 → 8

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)
0.3b	(/ t (* z 3.0))
5.1b	(/ (/ t (* z 3.0)) y)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

312×	`times-frac`
222×	`add-sqr-sqrt`
220×	`*-un-lft-identity`
213×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
23×	`add-exp-log` `add-cbrt-cube` `div-inv` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`frac-add` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

4 → 302

Calls

4 calls:

46.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
7.0ms	(/ (/ y z) 3.0)
5.0ms	(/ t (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series169.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
20.0ms	(/ (/ y z) 3.0)
20.0ms	(/ t (* z 3.0))
42.0ms	(/ (/ t (* z 3.0)) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1289	4253
1	5001	3918

prune1.1s

Filtered

314 candidates to 274 candidates (87.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	314	8	322

Merged error: 0b

Counts

322 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
0.3b	(/ t (* z 3.0))
0.3b	(/ (/ y z) (cbrt 3.0))
5.1b	(/ (/ t (* z 3.0)) y)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

340×	`times-frac`
213×	`add-sqr-sqrt`
175×	`*-un-lft-identity`
170×	`add-cube-cbrt`
101×	`add-exp-log`
87×	`cbrt-prod`
82×	`associate-r`
45×	`add-cbrt-cube`
43×	`div-exp`
32×	`prod-exp`
25×	`cbrt-undiv`
23×	`associate-/l*`
22×	`div-inv`
15×	`unswap-sqr`
14×	`cbrt-unprod`
10×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 335

Calls

4 calls:

34.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
4.0ms	(/ t (* z 3.0))
8.0ms	(/ (/ y z) (cbrt 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series229.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y z) (cbrt 3.0)))
20.0ms	(/ t (* z 3.0))
76.0ms	(/ (/ y z) (cbrt 3.0))
29.0ms	(/ (/ t (* z 3.0)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

347 → 347

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1438	3122
1	5001	2857

prune1.1s

Filtered

347 candidates to 269 candidates (77.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	347	0	347
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	347	8	355

Merged error: 0b

Counts

355 → 8

regimes236.0ms

Accuracy

76.3% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 1.7b

bsearch104.0ms

Steps

Iters	Range		Point
8	9.834305041564427e+35	4.339606160116765e+38	3.777444822295902e+36
9	-1.0681652460252232e-08	-1.5055701132127545e-15	-7.000164786129335e-10

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample741.0ms

Algorithm

intervals

Results

456.0ms

11109×

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

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