Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

326×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4
done	465	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

21.0ms	(* (- x 1.0) z)
9.0ms	(+ (* x y) (* (- x 1.0) z))

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- x 1.0) z)
36.0ms	(+ (* x y) (* (- x 1.0) z))

simplify102.0ms

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166
done	5001	166

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

40.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))

series395.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
92.0ms	(cbrt (- x 1.0))
92.0ms	(cbrt (- x 1.0))
96.0ms	(cbrt (- x 1.0))

simplify44.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	368	838
1	1223	798
2	5002	733
done	5002	733

prune301.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))

series383.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (- x 1.0))
95.0ms	(cbrt (- x 1.0))
94.0ms	(cbrt (- x 1.0))
98.0ms	(cbrt (- x 1.0))

simplify53.0ms

Counts

72 → 72

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	195	492
1	488	468
2	1509	440
3	5002	436
done	5002	436

prune294.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.2b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(+ (* x y) (* (- x 1.0) z))
8.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
8.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
46.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* (- x 1.0) z))
89.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
84.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
37.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify43.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	264	946
1	991	850
2	5002	818
done	5002	818

prune186.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

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	11	4
1	11	4
done	11	4

end0.0ms

sample496.0ms

Algorithm

intervals

Results

213.0ms

10194×

body

valid