Details

sample107.0ms

Algorithm

intervals

Results

10.0ms

359×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	6	123
1	11	123
2	15	98
done	15	98

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize454.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

2 → 36

Calls

2 calls:

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

series125.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(+ x (* (* y z) z))
43.0ms	(* (* y z) z)

simplify2.8s

Counts

42 → 42

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	62	7469
1	172	6037
2	587	5552
3	2808	5552
done	5000	5552

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt z) (cbrt z))
341.0ms	(cbrt z)
301.0ms	(cbrt z)
285.0ms	(cbrt z)

simplify5.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (388.0ms)

Iter	Nodes	Cost
0	65	18502
1	140	15989
2	382	15714
3	1076	15034
4	4322	15034
done	5001	15034

prune487.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.2b	(cbrt (* (* y z) z))
21.2b	(cbrt (* (* y z) z))
21.2b	(cbrt (* (* y z) z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

37.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
24.0ms	(cbrt (* (* y z) z))
18.0ms	(cbrt (* (* y z) z))
14.0ms	(cbrt (* (* y z) z))

series606.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
142.0ms	(cbrt (* (* y z) z))
152.0ms	(cbrt (* (* y z) z))
151.0ms	(cbrt (* (* y z) z))

simplify69.0ms

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	90	19990