Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	297×	body	80	valid
12.0ms	326×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	83	16
3	225	16
4	627	16
5	1700	16
6	3470	16
done	5000	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.2b	(* z (log t))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

10.0ms	(* (- a 0.5) b)
81.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series105.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- a 0.5) b)
34.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify431.0ms

Counts

77 → 77

Iterations

Useful iterations: done (429.0ms)

Iter	Nodes	Cost
0	154	745
1	346	704
2	1191	636
done	5000	633

prune221.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt t)) z)
0.2b	(* (* 2 (log (cbrt t))) z)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

4.0ms	(* (log (cbrt t)) z)
8.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
3.0ms	(cbrt t)

series624.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (log (cbrt t)) z)
136.0ms	(* (* 2 (log (cbrt t))) z)
185.0ms	(cbrt t)
180.0ms	(cbrt t)

simplify2.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (557.0ms)

Iter	Nodes	Cost
0	88	525
1	206	493
2	756	406
3	3177	397
done	5001	397

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (pow t 1/3))) z)
0.2b	(* (log (cbrt t)) z)
0.5b	(cbrt t)
5.1b	(pow t 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
12×	`add-exp-log` `add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `unswap-sqr` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

9.0ms	(* (* 2 (log (pow t 1/3))) z)
4.0ms	(* (log (cbrt t)) z)
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series587.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (* 2 (log (pow t 1/3))) z)
122.0ms	(* (log (cbrt t)) z)
178.0ms	(cbrt t)
176.0ms	(pow t 1/3)

simplify397.0ms

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	119	600
1	275	514
2	945	429