Details

sample140.0ms

Algorithm

intervals

Results

53.0ms

622×

body

valid

simplify77.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.5b	(* j (- (* c a) (* y i)))
5.1b	(* x (- (* y z) (* t a)))
5.5b	(* b (- (* c z) (* t i)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`associate-*r/`
11×	`sub-neg`
10×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`associate--l+` `frac-sub` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 96

Calls

4 calls:

60.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
33.0ms	(* j (- (* c a) (* y i)))
42.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* c z) (* t i)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
110.0ms	(* j (- (* c a) (* y i)))
107.0ms	(* x (- (* y z) (* t a)))
90.0ms	(* b (- (* c z) (* t i)))

simplify87.0ms

Counts: 108 → 108

prune609.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.0b

localize43.0ms

Local error

Found 4 expressions with local error:

5.5b	(* b (- (* c z) (* t i)))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

349.0ms	(* b (- (* c z) (* t i)))
15.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
13.0ms	(cbrt (* x (- (* y z) (* t a))))

series784.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* b (- (* c z) (* t i)))
235.0ms	(cbrt (* x (- (* y z) (* t a))))
232.0ms	(cbrt (* x (- (* y z) (* t a))))
223.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify104.0ms

Counts: 69 → 69

prune604.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.0b

localize51.0ms

Local error

Found 4 expressions with local error:

5.5b	(* b (- (* c z) (* t i)))
5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
6.4b	(cbrt (- (* y z) (* t a)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

48.0ms	(* b (- (* c z) (* t i)))
20.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
7.0ms	(cbrt (- (* y z) (* t a)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* b (- (* c z) (* t i)))
168.0ms	(cbrt (* x (- (* y z) (* t a))))
226.0ms	(cbrt (* x (- (* y z) (* t a))))
179.0ms	(cbrt (- (* y z) (* t a)))

simplify123.0ms

Counts: 71 → 71

prune761.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.0b

localize73.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
6.4b	(cbrt (- (* y z) (* t a)))
6.4b	(cbrt (- (* y z) (* t a)))
6.4b	(cbrt (- (* y z) (* t a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
8×	`cbrt-div`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`associate-*r/`

Counts

4 → 50

Calls

4 calls:

14.0ms	(cbrt (* x (- (* y z) (* t a))))
6.0ms	(cbrt (- (* y z) (* t a)))
7.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (* x (- (* y z) (* t a))))
186.0ms	(cbrt (- (* y z) (* t a)))
170.0ms	(cbrt (- (* y z) (* t a)))
156.0ms	(cbrt (- (* y z) (* t a)))

simplify78.0ms

Counts: 62 → 62

prune751.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.0b

regimes1.6s

Accuracy

22% (6.0b remaining)

Error of 11.0b against oracle of 5.0b and baseline of 12.7b

bsearch230.0ms

Steps

Iters	Range		Point
6	6.942009403890628e-142	5.537605578145692e-141	1.139651707266175e-141
6	-8.876055805428136e-125	-6.093215404154281e-126	-8.733998472310765e-125

simplify231.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.6s

19212×

body

valid