Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify1.8s

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	125	7
10	168	7
11	205	7
12	251	7
13	302	7
14	342	7
15	422	7
16	634	7
17	1047	7
18	2098	7
19	3365	7
done	5001	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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	(* y (- z x))
6.0ms	(+ x (* y (- z x)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* y (- z x))
16.0ms	(+ x (* y (- z x)))

simplify639.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	72	409
1	179	386
2	514	351
3	1715	351
done	5001	351

prune53.0ms

Filtered

31 candidates to 47 candidates (-51.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 4

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))

rewrite27.0ms

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:

12.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
4.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))

series131.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
30.0ms	(cbrt (- z x))
29.0ms	(cbrt (- z x))
35.0ms	(cbrt (- z x))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: 4 (652.0ms)

Iter	Nodes	Cost
0	145	1432
1	290	1328
2	813	1236
3	2084	1140
4	4924	1084
done	5000	1084

prune125.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize8.0ms

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)
33.8b	(cbrt (pow (* y (- z x)) 3))

rewrite24.0ms

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:

7.0ms	(* y (- z x))
5.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
7.0ms	(pow (* y (- z x)) 3)
3.0ms	(cbrt (pow (* y (- z x)) 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* y (- z x))
12.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
15.0ms	(pow (* y (- z x)) 3)
12.0ms	(cbrt (pow (* y (- z x)) 3))

simplify466.0ms

Counts

93 → 93

Iterations

Useful iterations: done (461.0ms)

Iter	Nodes	Cost
0	140	1047
1	345	861
2	1225	779
done	5000	765

prune104.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- z x))
0.0b	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
0.1b	(* y (sqrt (- z x)))
0.1b	(* (* y (sqrt (- z x))) (sqrt (- z x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- z x))
3.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
8.0ms	(* y (sqrt (- z x)))
14.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (- z x))
8.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
18.0ms	(* y (sqrt (- z x)))
8.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify572.0ms

Counts

97 → 97

Iterations

Useful iterations: done (570.0ms)

Iter	Nodes	Cost
0	153	1351
1	397	1039
2	1422	962
done	5000	930

prune86.0ms

Filtered

65 candidates to 97 candidates (-49.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes195.0ms

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

sample681.0ms

Algorithm

intervals

Results

258.0ms

10203×

body

valid

Details

sample25.0ms

simplify1.8s

prune3.0ms

localize5.0ms

rewrite15.0ms

series25.0ms

simplify639.0ms

prune53.0ms

localize9.0ms

rewrite27.0ms

series131.0ms

simplify1.6s

prune125.0ms

localize8.0ms

rewrite24.0ms

series47.0ms

simplify466.0ms

prune104.0ms

localize8.0ms

rewrite31.0ms

series44.0ms

simplify572.0ms

prune86.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample681.0ms

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