Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

352×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	90	16
3	245	16
4	526	16
5	713	16
6	835	16
7	872	16
8	1073	16
9	1666	16
10	1909	16
done	1909	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.3b	(* (* y 9.0) z)
5.2b	(* (* (* y 9.0) z) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
22.0ms	(* (* (* y 9.0) z) t)

series249.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
144.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify640.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	125	997
1	317	954
2	1381	823
done	5001	823

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 9.0 (* z y))
3.2b	(* (* 9.0 (* z y)) (+ (- t) t))
5.2b	(* t (* z y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`-un-lft-identity` `associate-r*`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`associate-l`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `*-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 100

Calls

4 calls:

15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 9.0 (* z y))
34.0ms	(* (* 9.0 (* z y)) (+ (- t) t))
6.0ms	(* t (* z y))

series75.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* 9.0 (* z y))
1.0ms	(* (* 9.0 (* z y)) (+ (- t) t))
28.0ms	(* t (* z y))

simplify765.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	131	1069
1	389	1032
2	1853	804
done	5000	804

prune300.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- t) (* 9.0 (* z y)))
5.2b	(* t (* z y))
5.2b	(* t (* z y))
9.7b	(+ (* (- t) (* 9.0 (* z y))) (* 9.0 (* t (* z y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`associate-l`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r` `*-commutative`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

18.0ms	(* (- t) (* 9.0 (* z y)))
6.0ms	(* t (* z y))
8.0ms	(* t (* z y))
15.0ms	(+ (* (- t) (* 9.0 (* z y))) (* 9.0 (* t (* z y))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- t) (* 9.0 (* z y)))
24.0ms	(* t (* z y))
24.0ms	(* t (* z y))
2.0ms	(+ (* (- t) (* 9.0 (* z y))) (* 9.0 (* t (* z y))))

simplify568.0ms

Counts

97 → 97

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	107	1019
1	315	959
2	1332	774
done	5001	761

prune299.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0b	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
5.9b	(* (* y 9.0) (* z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--` `fma-udef`

Counts

3 → 50

Calls

3 calls:

3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
10.0ms	(* (* y 9.0) (* z t))

series232.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
143.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
26.0ms	(* (* y 9.0) (* z t))

simplify435.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	105	849
1	279	811
2	1106	698
done	5000	698

prune160.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

64.6% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 3.7b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	33	77
1	49	62
2	52	62
3	59	62
4	65	62
done	65	62

end0.0ms

sample841.0ms

Algorithm

intervals

Results

446.0ms

11045×

body

valid