Details

sample74.0ms

Algorithm

intervals

Results

34.0ms

515×

body

valid

simplify1.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
78.0ms	(* (* y 4.0) (- (* z z) t))

series194.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
78.0ms	(* (* y 4.0) (- (* z z) t))

simplify4.3s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	93	707
1	264	669
2	982	583
3	4561	577
done	5001	577

prune174.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.2b

localize24.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

37.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
54.0ms	(* (* y 4.0) (- (* z z) t))
78.0ms	(* (* y 4.0) (- (* z z) t))
67.0ms	(* (* y 4.0) (- (* z z) t))

series475.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
90.0ms	(* (* y 4.0) (- (* z z) t))
83.0ms	(* (* y 4.0) (- (* z z) t))
86.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	112	1281
1	287	1250
2	913	1027
3	3326	1019
done	5001	1012

prune392.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.2b

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.5b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.4b	(* (* y 4.0) (- (* z z) t))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
13.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
70.0ms	(* (* y 4.0) (- (* z z) t))
43.0ms	(* (* y 4.0) (- (* z z) t))

series534.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
192.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
75.0ms	(* (* y 4.0) (- (* z z) t))
85.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.8s

Counts

92 → 92

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	101	1438
1	267	1296
2	940	1168
3	4279	1160
done	5000	1160

prune321.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.4b	(sqrt (- (* z z) t))
6.4b	(sqrt (- (* z z) t))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

38.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
159.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
15.0ms	(sqrt (- (* z z) t))
11.0ms	(sqrt (- (* z z) t))

series288.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
76.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
50.0ms	(sqrt (- (* z z) t))
63.0ms	(sqrt (- (* z z) t))

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	136	1685
1	368	1362
2	1295	1120
done	5000	1116

prune286.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.2b

regimes451.0ms

Accuracy

79.1% (0.8b remaining)

Error of 3.3b against oracle of 2.5b and baseline of 6.2b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	25	36
done	25	36

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16035×

body

valid