Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	242×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify458.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (262.0ms)

Iter	Nodes	Cost
0	8	203
1	20	163
2	66	163
3	214	163
4	480	139
5	574	115
6	586	115
done	586	115

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2 y (fma 3 x z))
0.1b	(fma 3 x z)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma 2 y (fma 3 x z))
1.0ms	(fma 3 x z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma 2 y (fma 3 x z))
31.0ms	(fma 3 x z)

simplify2.0s

Counts

26 → 26

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	30	3705
1	43	3555
2	106	3480
3	448	3480
4	2545	3480
done	5000	3480

prune150.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2 y (+ (* 3 x) z))
0.0b	(+ (* 3 x) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `fma-udef`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma 2 y (+ (* 3 x) z))
11.0ms	(+ (* 3 x) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma 2 y (+ (* 3 x) z))
42.0ms	(+ (* 3 x) z)

simplify3.1s

Counts

30 → 30

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	42	5328
1	110	4308
2	308	4208
3	1046	4208
4	4388	4208
done	5000	4208

prune167.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 x) z)
0.3b	(* (* 3 x) (* 3 x))
2.6b	(- (* (* 3 x) (* 3 x)) (* z z))
28.2b	(/ (- (* (* 3 x) (* 3 x)) (* z z)) (- (* 3 x) z))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `flip3--` `prod-diff` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `fma-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

13.0ms	(- (* 3 x) z)
27.0ms	(* (* 3 x) (* 3 x))
28.0ms	(- (* (* 3 x) (* 3 x)) (* z z))
90.0ms	(/ (- (* (* 3 x) (* 3 x)) (* z z)) (- (* 3 x) z))

series264.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* 3 x) z)
37.0ms	(* (* 3 x) (* 3 x))
60.0ms	(- (* (* 3 x) (* 3 x)) (* z z))
115.0ms	(/ (- (* (* 3 x) (* 3 x)) (* z z)) (- (* 3 x) z))

simplify2.5s

Counts

121 → 121

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	154	30296
1	451	25258
2	2820	23992
done	5000	23968

prune615.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (* 3 x) z))
0.6b	(cbrt (- (* 3 x) z))
0.6b	(cbrt (- (* 3 x) z))
0.6b	(* (cbrt (- (* 3 x) z)) (cbrt (- (* 3 x) z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

6.0ms	(cbrt (- (* 3 x) z))
6.0ms	(cbrt (- (* 3 x) z))
5.0ms	(cbrt (- (* 3 x) z))
50.0ms	(* (cbrt (- (* 3 x) z)) (cbrt (- (* 3 x) z)))

series997.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (- (* 3 x) z))
248.0ms	(cbrt (- (* 3 x) z))
244.0ms	(cbrt (- (* 3 x) z))
280.0ms	(* (cbrt (- (* 3 x) z)) (cbrt (- (* 3 x) z)))

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	134	39280
1	304	34371
2	989	33989
done	5000	33049

prune898.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	115
done	7	115

end0.0ms

sample1.2s

Algorithm

intervals

Results

888.0ms	7451×	body	80	valid
36.0ms	175×	body	1280	valid
27.0ms	174×	body	640	valid
13.0ms	116×	body	320	valid
9.0ms	37×	body	2560	valid
4.0ms	58×	body	160	valid