Details

sample47.0ms

Algorithm

intervals

Results

25.0ms

495×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	159	13
4	298	13
5	384	13
6	392	13
7	463	13
8	620	13
9	632	13
done	632	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

13.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
17.0ms	(- (* z z) t)
49.0ms	(* (* y 4.0) (- (* z z) t))

series206.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
23.0ms	(- (* z z) t)
67.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.9s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	103	843
1	286	802
2	1013	696
3	4580	690
done	5001	690

prune191.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* y (* 4.0 (- (* z z) t))))
0.0b	(- (* z z) t)
5.7b	(* y (* 4.0 (- (* z z) t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

13.0ms	(- (* x x) (* y (* 4.0 (- (* z z) t))))
8.0ms	(- (* z z) t)
50.0ms	(* y (* 4.0 (- (* z z) t)))

series239.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(- (* x x) (* y (* 4.0 (- (* z z) t))))
32.0ms	(- (* z z) t)
80.0ms	(* y (* 4.0 (- (* z z) t)))

simplify2.7s

Counts

70 → 70

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	114	924
1	289	885
2	856	779
3	3977	775
done	5000	773

prune205.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* y (* (* z z) 4.0)))
0.0b	(- (- (* x x) (* y (* (* z z) 4.0))) (* y (* 4.0 (- t))))
0.0b	(* (* z z) 4.0)
9.7b	(* y (* (* z z) 4.0))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log` `associate-r` `associate-l`
3×	`sub-neg`
2×	`flip3--` `associate--l+` `*-commutative` `flip--`
1×	`associate--l-` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

10.0ms	(- (* x x) (* y (* (* z z) 4.0)))
66.0ms	(- (- (* x x) (* y (* (* z z) 4.0))) (* y (* 4.0 (- t))))
22.0ms	(* (* z z) 4.0)
64.0ms	(* y (* (* z z) 4.0))

series257.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (* x x) (* y (* (* z z) 4.0)))
104.0ms	(- (- (* x x) (* y (* (* z z) 4.0))) (* y (* 4.0 (- t))))
27.0ms	(* (* z z) 4.0)
37.0ms	(* y (* (* z z) 4.0))

simplify1.2s

Counts

80 → 80

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	118	1131
1	303	1037
2	1135	871
done	5000	837

prune228.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize23.0ms

Local error

Found 4 expressions with local error:

9.7b	(* y (* (* z z) 4.0))
19.5b	(cbrt (* y (* (* z z) 4.0)))
19.5b	(cbrt (* y (* (* z z) 4.0)))
19.5b	(cbrt (* y (* (* z z) 4.0)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 48

Calls

4 calls:

60.0ms	(* y (* (* z z) 4.0))
58.0ms	(cbrt (* y (* (* z z) 4.0)))
50.0ms	(cbrt (* y (* (* z z) 4.0)))
41.0ms	(cbrt (* y (* (* z z) 4.0)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* y (* (* z z) 4.0))
149.0ms	(cbrt (* y (* (* z z) 4.0)))
121.0ms	(cbrt (* y (* (* z z) 4.0)))
124.0ms	(cbrt (* y (* (* z z) 4.0)))

simplify2.8s

Counts

60 → 60

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	85	684
1	197	672
2	630	565
3	2402	532
done	5000	520

prune240.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.4b

regimes420.0ms

Accuracy

83.6% (0.6b remaining)

Error of 3.4b against oracle of 2.8b and baseline of 6.4b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	41
1	34	41
2	42	41
3	46	41
done	46	41

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

15693×

body

valid