Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	330×	body	80	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	640	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	85	12
3	234	11
4	558	11
5	971	11
6	1141	11
7	1155	11
done	1155	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite964.0ms

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:

71.0ms	(+ (+ (+ y z) z) y)
640.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
15.0ms	(+ (+ y z) z)
235.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series167.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (+ y z) z) y)
45.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
25.0ms	(+ (+ y z) z)
63.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify591.0ms

Counts

101 → 101

Iterations

Useful iterations: done (589.0ms)

Iter	Nodes	Cost
0	138	1169
1	401	970
2	1353	847
done	5000	831

prune267.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite939.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

67.0ms	(+ (+ y (+ z z)) y)
642.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
228.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series134.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (+ y (+ z z)) y)
44.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
58.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify760.0ms

Counts

77 → 77

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	119	1014
1	340	920
2	1174	792
done	5000	716

prune206.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0))) (cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0))))
0.5b	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))
0.5b	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))
0.5b	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))

rewrite9.0ms

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:

6.0ms	(* (cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0))) (cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0))))
0.0ms	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))
0.0ms	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))
1.0ms	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

313.0ms	(* (cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0))) (cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0))))
229.0ms	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))
234.0ms	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))
231.0ms	(cbrt (fma (+ (* 2 (+ z y)) t) x (* y 5.0)))

simplify929.0ms

Counts

93 → 93

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	130	2432
1	285	2134
2	718	1954
3	2071	1660
done	5001	1656

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (+ (* 2 (+ z y)) t) (- (* y 5.0)))
0.0b	(fma 5.0 y (* (+ (* 2 (+ z y)) t) x))
0.3b	(* (fma 5.0 y (* (+ (* 2 (+ z y)) t) x)) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0))))
27.6b	(/ (* (fma 5.0 y (* (+ (* 2 (+ z y)) t) x)) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0)))) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma x (+ (* 2 (+ z y)) t) (- (* y 5.0)))
0.0ms	(fma 5.0 y (* (+ (* 2 (+ z y)) t) x))
3.0ms	(* (fma 5.0 y (* (+ (* 2 (+ z y)) t) x)) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0))))
4.0ms	(/ (* (fma 5.0 y (* (+ (* 2 (+ z y)) t) x)) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0)))) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma x (+ (* 2 (+ z y)) t) (- (* y 5.0)))
57.0ms	(fma 5.0 y (* (+ (* 2 (+ z y)) t) x))
194.0ms	(* (fma 5.0 y (* (+ (* 2 (+ z y)) t) x)) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0))))
57.0ms	(/ (* (fma 5.0 y (* (+ (* 2 (+ z y)) t) x)) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0)))) (fma x (+ (* 2 (+ z y)) t) (- (* y 5.0))))

simplify1.2s

Counts

77 → 77

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	108	2496
1	255	1859
2	1020	1465
done	5001	1465

prune296.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes82.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	19	12
done	19	12

end0.0ms

sample656.0ms

Algorithm

intervals

Results

342.0ms	10578×	body	80	valid
14.0ms	76×	body	1280	valid
13.0ms	112×	body	640	valid
9.0ms	70×	body	320	valid
3.0ms	43×	body	160	valid