Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	332×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (732.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

711.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.8s	(* x (+ (+ (+ (+ y z) z) y) t))
184.0ms	(+ (+ (+ y z) z) y)
63.0ms	(+ (+ y z) z)

series259.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
77.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
47.0ms	(+ (+ (+ y z) z) y)
33.0ms	(+ (+ y z) z)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	1169
1	398	970
2	1529	908
done	5000	893

prune461.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ y z) z) y) t)
0.0b	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
32×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`fma-udef`

Counts

4 → 82

Calls

4 calls:

877.0ms	(+ (+ (+ (+ y z) z) y) t)
1.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
178.0ms	(+ (+ (+ y z) z) y)
60.0ms	(+ (+ y z) z)

series212.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (+ (+ (+ y z) z) y) t)
92.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
45.0ms	(+ (+ (+ y z) z) y)
36.0ms	(+ (+ y z) z)

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	110	926
1	284	775
2	1007	718
done	5000	607

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ y z) z) y)) (fma t x (* 5.0 y)))
0.0b	(* x (+ (+ (+ y z) z) y))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite832.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

149.0ms	(+ (* x (+ (+ (+ y z) z) y)) (fma t x (* 5.0 y)))
457.0ms	(* x (+ (+ (+ y z) z) y))
173.0ms	(+ (+ (+ y z) z) y)
49.0ms	(+ (+ y z) z)

series291.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (* x (+ (+ (+ y z) z) y)) (fma t x (* 5.0 y)))
96.0ms	(* x (+ (+ (+ y z) z) y))
46.0ms	(+ (+ (+ y z) z) y)
37.0ms	(+ (+ y z) z)

simplify1.0s

Counts

101 → 101

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	127	1147
1	356	959
2	1280	882
done	5001	857

prune494.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt x) (cbrt x))
292.0ms	(cbrt x)
281.0ms	(cbrt x)
355.0ms	(cbrt x)

simplify5.4s

Counts

93 → 93

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune371.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	16	14
done	16	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	10588×	body	80	valid
25.0ms	89×	body	1280	valid
23.0ms	105×	body	640	valid
11.0ms	61×	body	320	valid
3.0ms	27×	body	160	valid