Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify92.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	70	7
4	101	7
5	108	7
6	112	7
done	112	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

44.0ms

(* (* x y) (- 1.0 y))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* (* x y) (- 1.0 y))

simplify4.0s

Counts

49 → 49

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	110	883
1	274	712
2	834	570
3	3358	528
done	5000	402

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

41.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
26.0ms	(cbrt (* (* x y) (- 1.0 y)))
28.0ms	(cbrt (* (* x y) (- 1.0 y)))
26.0ms	(cbrt (* (* x y) (- 1.0 y)))

series816.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
187.0ms	(cbrt (* (* x y) (- 1.0 y)))
191.0ms	(cbrt (* (* x y) (- 1.0 y)))
190.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.6s

Counts

92 → 92

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	171	2079
1	420	1907
2	1160	1747
3	3508	1429
done	5001	1359

prune313.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
9.4b	(cbrt (* x y))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
16×	`cbrt-div`
9×	`pow1` `add-exp-log`
8×	`flip3--` `flip--`
6×	`pow1/3`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `add-cbrt-cube`
4×	`cbrt-prod` `expm1-log1p-u` `frac-times` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 67

Calls

4 calls:

77.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
3.0ms	(cbrt (* x y))
21.0ms	(cbrt (* (* x y) (- 1.0 y)))
17.0ms	(cbrt (* (* x y) (- 1.0 y)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
119.0ms	(cbrt (* x y))
215.0ms	(cbrt (* (* x y) (- 1.0 y)))
194.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify3.2s

Counts

79 → 79

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	195	1632
1	510	1574
2	1386	1437
3	4402	1258
done	5000	1250

prune496.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b	(cbrt (* x y))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

55.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
3.0ms	(cbrt (* x y))
24.0ms	(cbrt (* (* x y) (- 1.0 y)))
18.0ms	(cbrt (* (* x y) (- 1.0 y)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
94.0ms	(cbrt (* x y))
226.0ms	(cbrt (* (* x y) (- 1.0 y)))
206.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.3s

Counts

90 → 90

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	190	1835
1	463	1677
2	1261	1536
3	3744	1263
done	5000	1235

prune370.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample850.0ms

Algorithm

intervals

Results

436.0ms

10678×

body

valid