Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.8b	(* y (/ (- z t) (- z a)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `flip--` `associate-/l/`
3×	`expm1-log1p-u` `fma-def` `clear-num` `un-div-inv` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

3 → 141

Calls

3 calls:

20.0ms	(+ x (* y (/ (- z t) (- z a))))
12.0ms	(/ (- z t) (- z a))
17.0ms	(* y (/ (- z t) (- z a)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (* y (/ (- z t) (- z a))))
44.0ms	(/ (- z t) (- z a))
70.0ms	(* y (/ (- z t) (- z a)))

simplify65.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	478	833
1	1909	785
2	5002	785

prune358.0ms

Filtered

150 candidates to 103 candidates (68.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	4	151

Merged error: 0.0b

Counts

151 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.0b	(/ y (/ (- z a) (- z t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
204×	`*-un-lft-identity`
202×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-def` `frac-2neg` `clear-num` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 229

Calls

3 calls:

31.0ms	(+ x (/ y (/ (- z a) (- z t))))
9.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (/ y (/ (- z a) (- z t))))
44.0ms	(/ (- z a) (- z t))
119.0ms	(/ y (/ (- z a) (- z t)))

simplify103.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	739	1961
1	3213	1902
2	5001	1900

prune598.0ms

Filtered

238 candidates to 165 candidates (69.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	237	5	242

Merged error: 0b

Counts

242 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.8b	(* y (* (- z t) (/ 1 (- z a))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
76×	`associate-r`
60×	`associate-*r/`
51×	`times-frac`
49×	`add-cube-cbrt`
44×	`frac-times`
35×	`associate-/r*`
32×	`add-exp-log`
27×	`flip3--` `flip--`
23×	`associate-/l*`
20×	`add-cbrt-cube`
18×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-l`
13×	`prod-exp` `unswap-sqr`
12×	`pow1`
9×	`clear-num`
7×	`frac-2neg` `cbrt-unprod`
6×	`div-exp` `associate-/r/` `un-div-inv` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `*-commutative` `div-inv`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 244

Calls

4 calls:

26.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
6.0ms	(/ 1 (- z a))
16.0ms	(* (- z t) (/ 1 (- z a)))
31.0ms	(* y (* (- z t) (/ 1 (- z a))))

series238.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
37.0ms	(/ 1 (- z a))
48.0ms	(* (- z t) (/ 1 (- z a)))
71.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify106.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	705	1483
1	3562	1329
2	5001	1234

prune589.0ms

Filtered

256 candidates to 162 candidates (63.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	256	5	261

Merged error: 0b

Counts

261 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.6b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series112.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
82.0ms	(fma (/ y (- z a)) (- z t) x)

simplify125.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (120.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune156.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	55	5	60

Merged error: 0b

Counts

60 → 5

regimes140.0ms

Accuracy

30.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.4b

bsearch107.0ms

Steps

Iters	Range		Point
10	0.3235305135594418	28979454454.04592	0.4079374202827732
9	-3.111871326958872e+88	-3.211656526160168e+79	-3.29812986849983e+79

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	12
1	35	12
2	36	12
3	36	12

end0.0ms

sample528.0ms

Algorithm

intervals

Results

270.0ms	8706×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid