Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

325×

body

valid

simplify719.0ms

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)))

rewrite16.0ms

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:

9.0ms	(* y (- z x))
5.0ms	(+ x (* y (- z x)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (- z x))
43.0ms	(+ x (* y (- z x)))

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (51.0ms)

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.6b	(* (cbrt (- z x)) (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:

4.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
19.0ms	(* (cbrt (- z x)) (cbrt (- z x)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- z x))
150.0ms	(cbrt (- z x))
149.0ms	(cbrt (- z x))
128.0ms	(* (cbrt (- z x)) (cbrt (- z x)))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	634	1223
3	1587	1128
4	4526	1080
done	5001	1080

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series741.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
175.0ms	(cbrt y)
183.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify2.9s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune188.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
2.7b	(- (* z z) (* x x))
9.1b	(* y (- (* z z) (* x x)))
19.4b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

12.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
2.0ms	(- (* z z) (* x x))
10.0ms	(* y (- (* z z) (* x x)))
10.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series230.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
32.0ms	(- (* z z) (* x x))
71.0ms	(* y (- (* z z) (* x x)))
71.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify638.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	128	1358
1	361	1272
2	1314	1098
done	5001	1098

prune313.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes74.0ms

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

sample398.0ms

Algorithm

intervals

Results

203.0ms

10113×

body

valid