Details

sample95.0ms

Algorithm

intervals

Results

29.0ms	564×	body	80	nan
28.0ms	598×	body	80	valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	9

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: 0.3b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

137×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`times-frac`
83×	`add-cube-cbrt`
73×	`associate-l`
60×	`associate-r`
49×	`exp-prod`
30×	`sqrt-prod`
27×	`unswap-sqr`
21×	`swap-sqr`
19×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`associate-/l*`
12×	`*-commutative`
11×	`pow1`
8×	`prod-exp`
6×	`associate-*l/`
5×	`cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `rem-exp-log`

Counts

4 → 235

Calls

4 calls:

8.0ms	(/ (* t t) 2.0)
46.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
12.0ms	(exp (/ (* t t) 2.0))
18.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
194.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
22.0ms	(exp (/ (* t t) 2.0))
130.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify120.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	784	1625
1	3152	1513
2	5001	1485

prune549.0ms

Filtered

247 candidates to 169 candidates (68.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	239	8	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	240	8	248

Merged error: 0.0b

Counts

248 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (fabs t)) (/ (sqrt (* t t)) 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (fabs t)) (/ (sqrt (* t t)) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
28.3b	(sqrt (* t t))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-sqr-sqrt`
94×	`sqrt-prod`
69×	`*-un-lft-identity`
64×	`associate-l`
61×	`add-cube-cbrt`
58×	`pow-unpow`
55×	`associate-r`
54×	`times-frac`
41×	`unswap-sqr`
23×	`add-exp-log`
20×	`pow1`
13×	`swap-sqr` `prod-exp`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `*-commutative`
6×	`sqrt-pow1` `associate-*l/` `pow-exp` `sqr-pow`
5×	`rem-sqrt-square` `pow-prod-down`
4×	`expm1-log1p-u` `pow-pow` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-to-exp` `exp-prod`
2×	`flip3--` `flip--`
1×	`pow2` `pow-plus` `pow1/2` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 227

Calls

4 calls:

9.0ms	(pow (exp (fabs t)) (/ (sqrt (* t t)) 2.0))
48.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (fabs t)) (/ (sqrt (* t t)) 2.0)))
18.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
5.0ms	(sqrt (* t t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(pow (exp (fabs t)) (/ (sqrt (* t t)) 2.0))
203.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (fabs t)) (/ (sqrt (* t t)) 2.0)))
118.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
9.0ms	(sqrt (* t t))

simplify125.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	925	2167
1	3436	2060
2	5003	2033

prune670.0ms

Filtered

239 candidates to 160 candidates (66.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	233	6	239
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	239	8	247

Merged error: 0b

Counts

247 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0)))) (sqrt (sqrt 2.0)))
0.4b	(* z (sqrt 2.0))
28.3b	(sqrt (* t t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
103×	`sqrt-prod`
68×	`associate-r`
63×	`associate-l`
55×	`unswap-sqr`
36×	`*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
8×	`*-commutative`
6×	`sqrt-pow1` `pow-prod-down` `associate-*l/`
5×	`rem-sqrt-square` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`flip3--` `flip--`
1×	`pow2` `pow-plus` `pow1/2` `pow-sqr` `pow-prod-up`

Counts

4 → 182

Calls

4 calls:

20.0ms	(* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0))))
32.0ms	(* (* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0)))) (sqrt (sqrt 2.0)))
5.0ms	(* z (sqrt 2.0))
5.0ms	(sqrt (* t t))

series448.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0))))
223.0ms	(* (* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0)))) (sqrt (sqrt 2.0)))
42.0ms	(* z (sqrt 2.0))
9.0ms	(sqrt (* t t))

simplify95.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	544	1522
1	1995	1443
2	5001	1437

prune552.0ms

Filtered

194 candidates to 118 candidates (60.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	197	5	202

Merged error: 0b

Counts

202 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (* (sqrt z) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (sqrt z)))
0.3b	(* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (* (sqrt z) 2.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

113×	`add-sqr-sqrt`
103×	`sqrt-prod`
52×	`associate-l`
50×	`unswap-sqr`
43×	`associate-r`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt`
16×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-pow1` `associate-*l/`
5×	`rem-sqrt-square` `pow-prod-down` `*-commutative`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/2`
2×	`flip3--` `flip--`

Counts

4 → 163

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
6.0ms	(sqrt (* (sqrt z) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt (sqrt z)))
30.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (* (sqrt z) 2.0)))

series631.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (sqrt z))
218.0ms	(sqrt (* (sqrt z) 2.0))
104.0ms	(* (- (* x 0.5) y) (sqrt (sqrt z)))
143.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt z))) (sqrt (* (sqrt z) 2.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	534	1539
1	2058	1471
2	5001	1449

prune408.0ms

Filtered

175 candidates to 107 candidates (61.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	175	5	180

Merged error: 0b

Counts

180 → 5

regimes469.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample2.7s

Algorithm

intervals

Results

870.0ms	18104×	body	80	valid
828.0ms	18180×	body	80	nan