Details

sample142.0ms

Algorithm

intervals

Results

56.0ms	969×	body	80	nan
21.0ms	304×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	363	21
4	1199	21
5	2905	21
6	4474	21
done	5001	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

270.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
1.1s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
11.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series874.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
538.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
57.0ms	(* (- b 0.5) (log c))
42.0ms	(* x (log y))

simplify669.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (184.0ms)

Iter	Nodes	Cost
0	248	1979
1	650	1859
2	2344	1747
done	5000	1747

prune405.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt y))) x)
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (* 2 (log (cbrt y))) x)
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series589.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (* 2 (log (cbrt y))) x)
95.0ms	(* x (log (cbrt y)))
184.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	110	670
1	229	634
2	786	534
3	3198	524
done	5000	524

prune405.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `flip--`
3×	`associate-l`
2×	`sub-neg` `pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

4.0ms	(* x (log y))
16.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series718.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (log y))
310.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
184.0ms	(cbrt c)
186.0ms	(cbrt c)

simplify522.0ms

Counts

90 → 90

Iterations

Useful iterations: done (518.0ms)

Iter	Nodes	Cost
0	188	1229
1	473	1129
2	1588	886
done	5000	872

prune486.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt c))
0.6b	(cbrt (pow c 2/3))
0.6b	(cbrt c)
6.0b	(pow c 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (cbrt c))
1.0ms	(cbrt (pow c 2/3))
0.0ms	(cbrt c)
1.0ms	(pow c 2/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

442.0ms	(cbrt (cbrt c))
186.0ms	(cbrt (pow c 2/3))
192.0ms	(cbrt c)
181.0ms	(pow c 2/3)

simplify105.0ms

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	93	428
1	174	398
2	328	348