Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

334×

body

valid

simplify182.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3
done	5002	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

20.0ms	(* y (- z x))
9.0ms	(+ x (* y (- z x)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- z x))
38.0ms	(+ x (* y (- z x)))

simplify88.0ms

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3521	165
3	5003	165
done	5003	165

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series709.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
170.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify86.0ms

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235
done	5003	235

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series884.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
238.0ms	(cbrt (cbrt y))
236.0ms	(cbrt (cbrt y))
234.0ms	(cbrt (cbrt y))

simplify47.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	71	261
1	141	243
2	357	235
3	1377	235
4	5001	235
done	5001	235

prune210.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.2b	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
2.7b	(sqrt (* y (- z x)))
2.7b	(sqrt (* y (- z x)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* y (- z x))
57.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
7.0ms	(sqrt (* y (- z x)))
10.0ms	(sqrt (* y (- z x)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* y (- z x))
104.0ms	(* (sqrt (* y (- z x))) (sqrt (* y (- z x))))
56.0ms	(sqrt (* y (- z x)))
61.0ms	(sqrt (* y (- z x)))

simplify46.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	253	526
1	1151	473
2	5002	451
done	5002	451

prune190.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3
done	8	3

end0.0ms

sample457.0ms

Algorithm

intervals

Results

179.0ms

10145×

body

valid