Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

488×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (36.0ms)

Iter	Nodes	Cost
0	11	19
1	23	17
2	54	16
3	118	16
4	282	11
5	648	11
6	1631	11
7	4560	11
done	5000	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3))
0.1b	(* 3 (* (* x.re x.im) x.re))
0.2b	(* (* x.re x.im) x.re)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

24.0ms	(- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3))
17.0ms	(* 3 (* (* x.re x.im) x.re))
6.0ms	(* (* x.re x.im) x.re)

series107.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* 3 (* (* x.re x.im) x.re)) (pow x.im 3))
20.0ms	(* 3 (* (* x.re x.im) x.re))
16.0ms	(* (* x.re x.im) x.re)

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	143	1143
1	370	898
2	1713	773
done	5000	773

prune127.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.re x.im)) x.re) (pow x.im 3))
0.1b	(* (* 3 (* x.re x.im)) x.re)
0.2b	(* 3 (* x.re x.im))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

24.0ms	(- (* (* 3 (* x.re x.im)) x.re) (pow x.im 3))
17.0ms	(* (* 3 (* x.re x.im)) x.re)
6.0ms	(* 3 (* x.re x.im))

series106.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* (* 3 (* x.re x.im)) x.re) (pow x.im 3))
19.0ms	(* (* 3 (* x.re x.im)) x.re)
17.0ms	(* 3 (* x.re x.im))

simplify1.0s

Counts

79 → 79

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	145	1143
1	381	898
2	1714	777
done	5000	773

prune135.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
0.1b	(* (* (* 3 x.re) x.im) x.re)
0.2b	(* (* 3 x.re) x.im)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
5×	`add-log-exp`
3×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `flip--` `sqr-pow`

Counts

3 → 70

Calls

3 calls:

24.0ms	(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
24.0ms	(* (* (* 3 x.re) x.im) x.re)
7.0ms	(* (* 3 x.re) x.im)

series105.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* (* (* 3 x.re) x.im) x.re) (pow x.im 3))
19.0ms	(* (* (* 3 x.re) x.im) x.re)
17.0ms	(* (* 3 x.re) x.im)

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: 2 (366.0ms)

Iter	Nodes	Cost
0	143	1144
1	378	893
2	2018	776
done	5000	776

prune135.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
0.2b	(* (* 3 x.re) (* x.im x.re))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`unpow-prod-down` `cube-prod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`cube-mult` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `associate-r` `associate-l` `*-commutative` `flip--` `sqr-pow`

Counts

2 → 51

Calls

2 calls:

13.0ms	(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
10.0ms	(* (* 3 x.re) (* x.im x.re))

series87.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(- (* (* 3 x.re) (* x.im x.re)) (pow x.im 3))
22.0ms	(* (* 3 x.re) (* x.im x.re))

simplify973.0ms

Counts

57 → 57

Iterations

Useful iterations: done (972.0ms)

Iter	Nodes	Cost
0	127	996
1	339	754
2	1567	649
done	5001	645

prune78.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
done	11	11

end0.0ms

sample745.0ms

Algorithm

intervals

Results

518.0ms

14487×

body

valid