Details

sample52.0ms

Algorithm

intervals

Results

21.0ms

292×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3804
7	1565
6	757
5	353
4	156
3	79
2	50
1	25
0	13

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(- (fma (/ x 8.0) 1.0 t) (/ (* y z) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

7.0ms	(/ (* y z) 2.0)
10.0ms	(- (fma (/ x 8.0) 1.0 t) (/ (* y z) 2.0))

series94.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ (* y z) 2.0)
74.0ms	(- (fma (/ x 8.0) 1.0 t) (/ (* y z) 2.0))

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1735
1	351
0	140

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ x 8.0) 1.0 t) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
0.3b	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b	(/ y (sqrt 2.0))
0.5b	(/ z (sqrt 2.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
84×	`times-frac`
62×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `prod-diff`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate--l+` `associate-r/` `*-commutative` `fma-udef` `flip--`

Counts

4 → 178

Calls

4 calls:

5.0ms	(- (fma (/ x 8.0) 1.0 t) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
37.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
5.0ms	(/ y (sqrt 2.0))
5.0ms	(/ z (sqrt 2.0))

series600.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(- (fma (/ x 8.0) 1.0 t) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
143.0ms	(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
73.0ms	(/ y (sqrt 2.0))
89.0ms	(/ z (sqrt 2.0))

simplify1.8s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	3048
1	582
0	220

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (/ z (/ 2.0 y)))
0.0b	(fma x 0.125 (- t (/ z (/ 2.0 y))))
0.3b	(/ z (/ 2.0 y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `fma-neg` `div-exp` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--`

Counts

3 → 235

Calls

3 calls:

46.0ms	(- t (/ z (/ 2.0 y)))
0.0ms	(fma x 0.125 (- t (/ z (/ 2.0 y))))
7.0ms	(/ z (/ 2.0 y))

series188.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- t (/ z (/ 2.0 y)))
80.0ms	(fma x 0.125 (- t (/ z (/ 2.0 y))))
38.0ms	(/ z (/ 2.0 y))

simplify1.1s

Counts

244 → 244

Iterations

Iter	Nodes
done	5000
1	1368
0	506

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
0.3b	(* (/ y (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
0.4b	(/ y (sqrt 2.0))
1.0b	(/ 1 (sqrt (sqrt 2.0)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

181×	`add-sqr-sqrt`
162×	`times-frac`
156×	`sqrt-prod`
105×	`add-exp-log`
104×	`*-un-lft-identity`
92×	`add-cube-cbrt`
61×	`add-cbrt-cube`
53×	`associate-l`
42×	`prod-exp`
36×	`div-exp`
32×	`associate-r`
28×	`unswap-sqr`
22×	`cbrt-unprod`
19×	`cbrt-undiv`
15×	`associate-/r*`
14×	`pow1`
7×	`rec-exp` `1-exp`
6×	`frac-times` `associate-r/` `associate-/l`
5×	`div-inv` `pow-flip`
4×	`expm1-log1p-u` `sqrt-pow1` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/2` `*-commutative`
1×	`inv-pow`

Counts

4 → 288

Calls

4 calls:

56.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
113.0ms	(* (/ y (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
9.0ms	(/ y (sqrt 2.0))
14.0ms	(/ 1 (sqrt (sqrt 2.0)))

series388.0ms

Counts

4 → 10

Calls

4 calls:

118.0ms	(* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
185.0ms	(* (/ y (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
85.0ms	(/ y (sqrt 2.0))
0.0ms	(/ 1 (sqrt (sqrt 2.0)))

simplify1.0s

Counts

298 → 298

Iterations

Iter	Nodes
done	5000
1	951
0	310

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes504.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

970.0ms	9127×	body	80	valid
0.0ms	1×	body	1280	valid