Details

sample46.0ms

Algorithm

intervals

Results

26.0ms

526×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1451
4	445
3	160
2	50
1	19
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.1b	(* (* y 4.0) (- (* z z) t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

6.0ms	(- (* z z) t)
10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
34.0ms	(* (* y 4.0) (- (* z z) t))

series217.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- (* z z) t)
109.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
78.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1873
1	327
0	103

prune313.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.2b

localize31.0ms

Local error

Found 4 expressions with local error:

7.1b	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
7.7b	(cbrt (- (* z z) t))
7.7b	(cbrt (- (* z z) t))
7.7b	(cbrt (- (* z z) t))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-*l/`
12×	`cbrt-prod`
10×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

266.0ms	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
5.0ms	(cbrt (- (* z z) t))
9.0ms	(cbrt (- (* z z) t))
5.0ms	(cbrt (- (* z z) t))

series386.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
100.0ms	(cbrt (- (* z z) t))
113.0ms	(cbrt (- (* z z) t))
104.0ms	(cbrt (- (* z z) t))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1619
1	499
0	172

prune569.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y 4.0) (sqrt (- (* z z) t)))
0.1b	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
7.1b	(sqrt (- (* z z) t))
7.1b	(sqrt (- (* z z) t))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
9×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
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:

40.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
125.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
12.0ms	(sqrt (- (* z z) t))
13.0ms	(sqrt (- (* z z) t))

series263.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* y 4.0) (sqrt (- (* z z) t)))
75.0ms	(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
57.0ms	(sqrt (- (* z z) t))
53.0ms	(sqrt (- (* z z) t))

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2218
1	386
0	136

prune532.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 3.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- z (sqrt t))
0.0b	(+ z (sqrt t))
0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.1b	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(- z (sqrt t))
8.0ms	(+ z (sqrt t))
39.0ms	(* (* y 4.0) (+ z (sqrt t)))
108.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- z (sqrt t))
30.0ms	(+ z (sqrt t))
78.0ms	(* (* y 4.0) (+ z (sqrt t)))
133.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

simplify2.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	3562
1	455
0	142

prune433.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 3.1b

regimes1.1s

Accuracy

82.5% (0.6b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 5.8b

bsearch2.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
1	31
0	26

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

15817×

body

valid