Details

sample45.0ms

Algorithm

intervals

Results

20.0ms

495×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b	(* (* y 4.0) (- (* z z) t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

16.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
43.0ms	(* (* y 4.0) (- (* z z) t))

series227.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
102.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
2	1757
1	293
0	93

prune233.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.2b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-out` `add-sqr-sqrt`
3×	`*-un-lft-identity` `add-cube-cbrt`
2×	`sum-log` `diff-log` `unsub-neg` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `associate-r` `associate-l` `*-commutative` `flip-+` `flip--` `associate--r+` `difference-of-squares`

Counts

3 → 52

Calls

3 calls:

21.0ms	(+ (* (* z z) (* y 4.0)) (* (- (* 4.0 y)) t))
60.0ms	(- (* x x) (+ (* (* z z) (* y 4.0)) (* (- (* 4.0 y)) t)))
28.0ms	(* (* z z) (* y 4.0))

series200.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* (* z z) (* y 4.0)) (* (- (* 4.0 y)) t))
107.0ms	(- (* x x) (+ (* (* z z) (* y 4.0)) (* (- (* 4.0 y)) t)))
34.0ms	(* (* z z) (* y 4.0))

simplify1.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1942
1	329
0	102

prune281.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* z 4.0) y) z) (* (- (* 4.0 y)) t))
0.0b	(- (* x x) (+ (* (* (* z 4.0) y) z) (* (- (* 4.0 y)) t)))
0.2b	(* (* (* z 4.0) y) z)

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

51.0ms	(+ (* (* (* z 4.0) y) z) (* (- (* 4.0 y)) t))
177.0ms	(- (* x x) (+ (* (* (* z 4.0) y) z) (* (- (* 4.0 y)) t)))
78.0ms	(* (* (* z 4.0) y) z)

series200.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* (* (* z 4.0) y) z) (* (- (* 4.0 y)) t))
113.0ms	(- (* x x) (+ (* (* (* z 4.0) y) z) (* (- (* 4.0 y)) t)))
34.0ms	(* (* (* z 4.0) y) z)

simplify1.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	2040
1	343
0	109

prune320.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* z 4.0) y) z)) (cbrt (* (* (* z 4.0) y) z)))
21.0b	(cbrt (* (* (* z 4.0) y) z))
21.0b	(cbrt (* (* (* z 4.0) y) z))
21.0b	(cbrt (* (* (* z 4.0) y) z))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

64.0ms	(* (cbrt (* (* (* z 4.0) y) z)) (cbrt (* (* (* z 4.0) y) z)))
42.0ms	(cbrt (* (* (* z 4.0) y) z))
66.0ms	(cbrt (* (* (* z 4.0) y) z))
76.0ms	(cbrt (* (* (* z 4.0) y) z))

series681.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (* (* (* z 4.0) y) z)) (cbrt (* (* (* z 4.0) y) z)))
172.0ms	(cbrt (* (* (* z 4.0) y) z))
159.0ms	(cbrt (* (* (* z 4.0) y) z))
149.0ms	(cbrt (* (* (* z 4.0) y) z))

simplify662.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	791
1	241
0	95

prune560.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes728.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	33
3	33
2	32
1	26
0	14

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

15675×

body

valid