Details

sample72.0ms

Algorithm

intervals

Results

21.0ms	257×	body	80	valid
18.0ms	270×	body	80	nan

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (258.0ms)

Iter	Nodes	Cost
0	10	274
1	21	274
2	63	274
3	203	274
4	627	249
5	2057	249
6	4166	249
done	5000	249

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (+ y x) (fma (+ y 0.5) (log y) z))
0.1b	(fma (+ y 0.5) (log y) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`distribute-lft-out`
4×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `diff-log` `add-exp-log` `fma-udef` `log1p-expm1-u` `distribute-lft-out--`
1×	`sum-log` `sub-neg` `flip3--` `associate--l+` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

48.0ms	(- (+ y x) (fma (+ y 0.5) (log y) z))
0.0ms	(fma (+ y 0.5) (log y) z)

series104.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (+ y x) (fma (+ y 0.5) (log y) z))
40.0ms	(fma (+ y 0.5) (log y) z)

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	103	22094
1	246	20165
2	821	17896
3	4091	17606
done	5000	17606

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ y x)) (cbrt (+ y x)))
0.5b	(cbrt (+ y x))
0.5b	(cbrt (+ y x))
0.5b	(cbrt (+ y x))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

39.0ms	(* (cbrt (+ y x)) (cbrt (+ y x)))
12.0ms	(cbrt (+ y x))
4.0ms	(cbrt (+ y x))
3.0ms	(cbrt (+ y x))

series793.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (+ y x)) (cbrt (+ y x)))
174.0ms	(cbrt (+ y x))
185.0ms	(cbrt (+ y x))
221.0ms	(cbrt (+ y x))

simplify1.8s

Counts

115 → 115

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	120	38477
1	284	30218
2	698	29918
3	1933	29163
done	5001	29148

prune729.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ y x))
0.5b	(cbrt (+ y x))
0.6b	(cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))
0.6b	(cbrt (cbrt (+ y x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 70

Calls

4 calls:

5.0ms	(cbrt (+ y x))
3.0ms	(cbrt (+ y x))
11.0ms	(cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))
4.0ms	(cbrt (cbrt (+ y x)))

series940.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (+ y x))
203.0ms	(cbrt (+ y x))
281.0ms	(cbrt (* (cbrt (+ y x)) (cbrt (+ y x))))
241.0ms	(cbrt (cbrt (+ y x)))

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	152	36171
1	306	30014
2	821	29572
3	2468	28832
done	5001	28672

prune759.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
0.4b	(cbrt (fma (+ y 0.5) (log y) z))
0.4b	(cbrt (fma (+ y 0.5) (log y) z))
0.4b	(cbrt (fma (+ y 0.5) (log y) z))

rewrite16.0ms

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:

12.0ms	(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
1.0ms	(cbrt (fma (+ y 0.5) (log y) z))
1.0ms	(cbrt (fma (+ y 0.5) (log y) z))
1.0ms	(cbrt (fma (+ y 0.5) (log y) z))

series2.0s

Counts

4 → 12

Calls

4 calls:

998.0ms	(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
355.0ms	(cbrt (fma (+ y 0.5) (log y) z))
307.0ms	(cbrt (fma (+ y 0.5) (log y) z))
347.0ms	(cbrt (fma (+ y 0.5) (log y) z))

simplify638.0ms

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	207	48138