Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

321×

body

valid

simplify721.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	26	7
4	35	7
5	41	7
6	50	7
7	68	7
8	98	7
9	125	7
10	154	7
11	168	7
12	186	7
13	199	7
14	215	7
15	250	7
16	315	7
17	413	7
18	505	7
19	611	7
20	680	7
21	684	7
done	684	7

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

rewrite17.0ms

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:

10.0ms	(* y (- z x))
5.0ms	(+ x (* y (- z x)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- z x))
43.0ms	(+ x (* y (- z x)))

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	73	409
1	171	381
2	472	351
3	1668	351
done	5001	351

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))

rewrite31.0ms

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:

21.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))

series566.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
143.0ms	(cbrt (- z x))
147.0ms	(cbrt (- z x))
153.0ms	(cbrt (- z x))

simplify2.1s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	631	1223
3	1586	1128
4	4525	1080
done	5000	1080

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.6b	(cbrt (+ z x))
1.5b	(- (* z z) (* x x))
27.0b	(cbrt (- (* z z) (* x x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (- z x))
2.0ms	(cbrt (+ z x))
5.0ms	(- (* z z) (* x x))
3.0ms	(cbrt (- (* z z) (* x x)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- z x))
128.0ms	(cbrt (+ z x))
31.0ms	(- (* z z) (* x x))
106.0ms	(cbrt (- (* z z) (* x x)))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: 3 (412.0ms)

Iter	Nodes	Cost
0	149	777
1	331	742
2	873	676
3	2730	653
done	5001	653

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.3b	(pow (* y (- z x)) 3)
35.2b	(cbrt (pow (* y (- z x)) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* y (- z x))
5.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
5.0ms	(pow (* y (- z x)) 3)
2.0ms	(cbrt (pow (* y (- z x)) 3))

series194.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (- z x))
47.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
57.0ms	(pow (* y (- z x)) 3)
53.0ms	(cbrt (pow (* y (- z x)) 3))

simplify567.0ms

Counts

93 → 93

Iterations

Useful iterations: done (565.0ms)

Iter	Nodes	Cost
0	137	1047
1	324	832
2	1131	769
done	5000	761

prune185.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes69.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample407.0ms

Algorithm

intervals

Results

201.0ms

10172×

body

valid