Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	315×	body	80	valid
5.0ms	2×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify515.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	80	13
3	213	13
4	465	13
5	691	13
6	709	13
done	709	13

prune5.0ms

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

rewrite890.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
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 → 71

Calls

4 calls:

13.0ms	(+ (+ y z) z)
217.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
58.0ms	(+ (+ (+ y z) z) y)
600.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series161.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ y z) z)
62.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
31.0ms	(+ (+ (+ y z) z) y)
44.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify431.0ms

Counts

83 → 83

Iterations

Useful iterations: done (429.0ms)

Iter	Nodes	Cost
0	130	1085
1	381	1004
2	1238	816
done	5002	796

prune195.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-log-exp`
18×	`*-un-lft-identity`
13×	`sum-log`
9×	`distribute-lft-out`
8×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `associate-*r/` `frac-add` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`

Counts

4 → 62

Calls

4 calls:

13.0ms	(+ (+ y z) z)
59.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
59.0ms	(+ (+ (+ y z) z) y)
2.0ms	(+ (* t x) (* y 5.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ y z) z)
62.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
31.0ms	(+ (+ (+ y z) z) y)
34.0ms	(+ (* t x) (* y 5.0))

simplify543.0ms

Counts

74 → 74

Iterations

Useful iterations: done (541.0ms)

Iter	Nodes	Cost
0	134	1315
1	451	1232
2	1818	1064
done	5000	1060

prune197.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

67.0ms	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))
8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

502.0ms	(* (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))) (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))
352.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))
350.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))
348.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))

simplify1.7s

Counts

99 → 99

Iterations

Useful iterations: 3 (433.0ms)

Iter	Nodes	Cost
0	141	3290
1	334	3105
2	1042	2899
3	3528	2514
done	5000	2514

prune301.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))
10.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))
8.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))
9.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

354.0ms	(cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y)))
352.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))
350.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))
338.0ms	(cbrt (cbrt (+ (* x (+ (* 2 (+ z y)) t)) (* 5.0 y))))

simplify212.0ms

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	103	1987
1	249	1956
2	677	1807