Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

325×

body

valid

simplify30.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	27	7
4	36	7
5	42	7
6	51	7
7	69	7
8	99	7
9	194	7
10	360	7
11	603	7
12	883	7
13	1475	7
14	4635	7
done	5000	7

prune6.0ms

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:

40.0ms	(* y (- z x))
37.0ms	(+ x (* y (- z x)))

simplify1.5s

Counts

47 → 47

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	73	409
1	181	381
2	654	351
3	2553	351
done	5000	351

prune80.0ms

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

rewrite32.0ms

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:

2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
22.0ms	(* (cbrt (- z x)) (cbrt (- z x)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- z x))
148.0ms	(cbrt (- z x))
144.0ms	(cbrt (- z x))
129.0ms	(* (cbrt (- z x)) (cbrt (- z x)))

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: 3 (545.0ms)

Iter	Nodes	Cost
0	131	1384
1	265	1293
2	953	1223
3	3750	1128
done	5001	1128

prune291.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite10.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series717.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
181.0ms	(cbrt y)
169.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (287.0ms)

Iter	Nodes	Cost
0	61	524
1	118	465
2	446	397
3	1994	379
done	5000	379

prune192.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite38.0ms

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:

11.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
11.0ms	(* y (- (* z z) (* x x)))
11.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series223.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
30.0ms	(- (* z z) (* x x))
67.0ms	(* y (- (* z z) (* x x)))
73.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify603.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	128	1358
1	367	1272
2	1693	1098
done	5000	1098

prune164.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes78.0ms

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

sample404.0ms

Algorithm

intervals

Results

198.0ms

10113×

body

valid