Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify30.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	31	8
3	64	8
4	107	8
5	165	8
6	201	8
7	241	8
8	297	8
9	502	8
10	959	8
11	1761	8
12	2427	8
13	3155	8
14	4289	8
done	5001	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) 6.0) z))
10.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series122.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (* (* (- y x) 6.0) z))
31.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

simplify510.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	104	692
1	265	647
2	1041	553
done	5000	553

prune164.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (* 6.0 z) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (- y x) (* 6.0 z) x)

simplify648.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	107	135
3	315	123
4	1328	123
done	5000	123

prune45.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity`
12×	`associate-*l/`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `fma-def` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

3.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
66.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
12.0ms	(* (- y x) (sqrt 6.0))
22.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series512.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
162.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
64.0ms	(* (- y x) (sqrt 6.0))
101.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify716.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	138	1399
1	360	988
2	1565	840
done	5000	840

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 6.0 (- (* z y) (* x z))) x)
0.0b	(- (* z y) (* x z))
0.3b	(* 6.0 (- (* z y) (* x z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `prod-diff` `add-cbrt-cube`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

6.0ms	(+ (* 6.0 (- (* z y) (* x z))) x)
3.0ms	(- (* z y) (* x z))
10.0ms	(* 6.0 (- (* z y) (* x z)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* 6.0 (- (* z y) (* x z))) x)
36.0ms	(- (* z y) (* x z))
60.0ms	(* 6.0 (- (* z y) (* x z)))

simplify2.3s

Counts

73 → 73

Iterations

Useful iterations: 3 (430.0ms)

Iter	Nodes	Cost
0	99	937
1	265	873
2	962	678
3	4284	671
done	5000	671

prune163.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample441.0ms

Algorithm

intervals

Results

233.0ms

10125×

body

valid