Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

316×

body

valid

simplify838.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune2.0ms

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

7.0ms	(+ x (* y (- z x)))
22.0ms	(* y (- z x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* y (- z x)))
50.0ms	(* y (- z x))

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	73	409
1	173	381
2	506	351
3	2212	351
done	5000	351

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+ x (* z y))
21.0ms	(+ (+ x (* z y)) (* y (- x)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (* z y))
32.0ms	(+ (+ x (* z y)) (* y (- x)))

simplify1.5s

Counts

32 → 32

Iterations

Useful iterations: 3 (489.0ms)

Iter	Nodes	Cost
0	52	367
1	166	331
2	643	293
3	2704	269
done	5000	269

prune55.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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:

36.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
4.0ms	(cbrt (- z x))
6.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))

series560.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
144.0ms	(cbrt (- z x))
144.0ms	(cbrt (- z x))
148.0ms	(cbrt (- z x))

simplify1.9s

Counts

113 → 113

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	617	1223
3	1340	1128
4	3525	1080
done	5000	1032

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (pow (cbrt (- z x)) 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`unpow-prod-down`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
1×	`unpow2` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

4.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))
9.0ms	(cbrt (pow (cbrt (- z x)) 2))

series568.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- z x))
150.0ms	(cbrt (- z x))
150.0ms	(cbrt (- z x))
124.0ms	(cbrt (pow (cbrt (- z x)) 2))

simplify1.9s

Counts

78 → 78

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	123	882
1	266	805
2	530	766
3	1199	731
4	3747	686
done	5000	677

prune261.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	19	10
done	19	10

end0.0ms

sample450.0ms

Algorithm

intervals

Results

179.0ms

10099×

body

valid