Details

sample76.0ms

Algorithm

intervals

Results

25.0ms	285×	body	80	valid
21.0ms	289×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4712
13	4355
12	3979
11	3616
10	3118
9	2180
8	1453
7	986
6	673
5	394
4	198
3	93
2	51
1	25
0	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
8×	`pow1` `distribute-lft-out`
7×	`add-sqr-sqrt` `associate-r`
5×	`add-cube-cbrt` `add-log-exp`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `associate-l`
2×	`associate-+l+` `sum-log` `flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

18.0ms	(+ (- 1.0 z) (log z))
68.0ms	(* y (+ (- 1.0 z) (log z)))

series377.0ms

Counts

2 → 6

Calls

2 calls:

267.0ms	(+ (- 1.0 z) (log z))
111.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
2	1037
1	260
0	97

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+r+` `associate-l`
5×	`add-log-exp`
4×	`associate-+l+` `sub-neg`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `log-pow` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 76

Calls

3 calls:

17.0ms	(* y (- 1.0 z))
16.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms	(* y (log z))

series244.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* y (- 1.0 z))
148.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
42.0ms	(* y (log z))

simplify2.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4593
2	954
1	333
0	137

prune377.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1/3` `insert-posit16` `add-log-exp`
3×	`associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

7.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series918.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (log (cbrt z)) y)
251.0ms	(cbrt z)
273.0ms	(cbrt z)
229.0ms	(cbrt z)

simplify2.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5008
4	4359
3	963
2	324
1	125
0	62

prune385.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`cbrt-prod` `add-cbrt-cube`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `associate-r`
2×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

7.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series980.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (log (pow z 1/3)) y)
285.0ms	(cbrt z)
285.0ms	(cbrt z)
248.0ms	(pow z 1/3)

simplify2.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
4	3314
3	1255
2	496
1	194
0	90

prune579.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes568.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	9187×	body	80	nan
922.0ms	9206×	body	80	valid