Details

sample97.0ms

Algorithm

intervals

Results

67.0ms

650×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	51	29
2	154	29
3	410	29
4	1047	29
5	1929	29
6	3970	29
done	5000	29

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

117.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
71.0ms	(* (* a a) (- 1.0 a))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
65.0ms	(* (* b b) (+ 3.0 a))

series494.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
87.0ms	(* (* a a) (- 1.0 a))
166.0ms	(pow (+ (* a a) (* b b)) 2.0)
38.0ms	(* (* b b) (+ 3.0 a))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (478.0ms)

Iter	Nodes	Cost
0	179	1446
1	482	1329
2	1804	1209
done	5000	1209

prune418.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
9.3b	(cbrt (+ (* a a) (* b b)))
9.3b	(cbrt (+ (* a a) (* b b)))
9.3b	(cbrt (+ (* a a) (* b b)))

rewrite99.0ms

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:

64.0ms	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
11.0ms	(cbrt (+ (* a a) (* b b)))
10.0ms	(cbrt (+ (* a a) (* b b)))
11.0ms	(cbrt (+ (* a a) (* b b)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b))))
158.0ms	(cbrt (+ (* a a) (* b b)))
132.0ms	(cbrt (+ (* a a) (* b b)))
153.0ms	(cbrt (+ (* a a) (* b b)))

simplify2.9s

Counts

99 → 99

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	102	1926
1	221	1757
2	555	1543
3	1205	1394
4	3224	1384
done	5001	1329

prune739.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.2b	(* (pow a 2) (pow b 2))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
28×	`prod-exp`
24×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`*-un-lft-identity` `add-cbrt-cube` `unpow2` `sqr-pow`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
5×	`pow1`
4×	`cbrt-unprod`
3×	`sum-log`
2×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 90

Calls

3 calls:

55.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
33.0ms	(* 2 (* (pow a 2) (pow b 2)))
17.0ms	(* (pow a 2) (pow b 2))

series201.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
68.0ms	(* 2 (* (pow a 2) (pow b 2)))
47.0ms	(* (pow a 2) (pow b 2))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	132	1357
1	328	1202
2	1066	1010
done	5000	998

prune294.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

Details

sample97.0ms

simplify5.0s

prune3.0ms

localize39.0ms

rewrite277.0ms

series494.0ms

simplify1.5s

prune418.0ms

localize46.0ms

rewrite99.0ms

series598.0ms

simplify2.9s

prune739.0ms

localize25.0ms

rewrite111.0ms

series201.0ms

simplify1.2s

prune294.0ms

regimes4.0ms