Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

342×

body

valid

simplify104.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.9b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

34.0ms	(* (- 1.0 y) z)
27.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (- 1.0 y) z)
81.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify91.0ms

Counts: 52 → 52

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

3.1b	(* (* x z) (- y 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

30.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify121.0ms

Counts: 29 → 29

prune90.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* x z) (- y 1.0))
5.6b	(cbrt (* (* x z) (- y 1.0)))
5.6b	(cbrt (* (* x z) (- y 1.0)))
5.6b	(cbrt (* (* x z) (- y 1.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

50.0ms	(* (* x z) (- y 1.0))
28.0ms	(cbrt (* (* x z) (- y 1.0)))
18.0ms	(cbrt (* (* x z) (- y 1.0)))
24.0ms	(cbrt (* (* x z) (- y 1.0)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* x z) (- y 1.0))
243.0ms	(cbrt (* (* x z) (- y 1.0)))
208.0ms	(cbrt (* (* x z) (- y 1.0)))
235.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify43.0ms

Counts: 71 → 71

prune333.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* x z) (- y 1.0))
5.6b	(cbrt (* (* x z) (- y 1.0)))
5.6b	(cbrt (* (* x z) (- y 1.0)))
8.7b	(cbrt (* x z))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`associate-*r/`
5×	`add-cube-cbrt` `associate-r`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

30.0ms	(* (* x z) (- y 1.0))
22.0ms	(cbrt (* (* x z) (- y 1.0)))
26.0ms	(cbrt (* (* x z) (- y 1.0)))
4.0ms	(cbrt (* x z))

series664.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* x z) (- y 1.0))
278.0ms	(cbrt (* (* x z) (- y 1.0)))
231.0ms	(cbrt (* (* x z) (- y 1.0)))
82.0ms	(cbrt (* x z))

simplify41.0ms

Counts: 69 → 69

prune426.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes452.0ms

Accuracy

-107.6% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 1.7b

bsearch108.0ms

Steps

Iters	Range		Point
7	2.9279762096116057e-78	2.3908766220850903e-76	7.681675611657619e-77
7	-1.4237771402059297e-13	-1.0564786291485635e-15	-1.129991475236902e-15

simplify53.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

819.0ms

10043×

body

valid