Details

sample35.0ms

Algorithm

intervals

Results

16.0ms	318×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	36	9
4	39	9
done	39	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

39.0ms	(* x (+ y z))
23.0ms	(+ (* x (+ y z)) (* z 5.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (+ y z))
48.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.8s

Counts

42 → 42

Iterations

Useful iterations: 3 (740.0ms)

Iter	Nodes	Cost
0	72	422
1	213	386
2	701	358
3	2953	356
done	5001	356

prune106.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

15.0ms	(+ (* y x) (* z (+ x 5.0)))
29.0ms	(* z (+ x 5.0))

series74.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* y x) (* z (+ x 5.0)))
43.0ms	(* z (+ x 5.0))

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	72	422
1	211	384
2	748	356
3	3485	356
done	5000	356

prune132.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
0.6b	(cbrt (* z (+ x 5.0)))
0.6b	(cbrt (* z (+ x 5.0)))
0.6b	(cbrt (* z (+ x 5.0)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

36.0ms	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
14.0ms	(cbrt (* z (+ x 5.0)))
14.0ms	(cbrt (* z (+ x 5.0)))
14.0ms	(cbrt (* z (+ x 5.0)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
191.0ms	(cbrt (* z (+ x 5.0)))
210.0ms	(cbrt (* z (+ x 5.0)))
162.0ms	(cbrt (* z (+ x 5.0)))

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	169	1707
1	417	1582
2	1155	1434
3	3429	1167
done	5001	1083

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
4.1b	(* z (- (* x x) (* 5.0 5.0)))
6.0b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

38.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
46.0ms	(* z (- (* x x) (* 5.0 5.0)))
44.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series350.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
104.0ms	(* z (- (* x x) (* 5.0 5.0)))
115.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify1.0s

Counts

74 → 74

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	142	1242
1	393	1165
2	1359	1017
done	5001	839

prune263.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

581.0ms	9795×	body	80	valid
19.0ms	100×	body	1280	valid
17.0ms	114×	body	640	valid
7.0ms	63×	body	320	valid
3.0ms	34×	body	160	valid