Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

472×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	11	13
1	21	13
2	52	13
3	171	13
4	346	12
5	586	12
6	698	12
7	805	12
8	1042	12
9	1225	12
10	1228	12
done	1228	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
4.8b	(* (* y 4.0) (- (* z z) t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

10.0ms	(- (* z z) t)
60.0ms	(* (* y 4.0) (- (* z z) t))

series112.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* z z) t)
79.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.8s

Counts

58 → 58

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	108	760
1	276	662
2	912	553
3	3654	544
done	5000	502

prune182.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.8b	(* (* y 4.0) (fma z z (- t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

33.0ms

(* (* y 4.0) (fma z z (- t)))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* (* y 4.0) (fma z z (- t)))

simplify2.4s

Counts

25 → 25

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	56	311
1	142	302
2	545	244
3	2249	244
done	5002	244

prune102.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize43.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (* (* y 4.0) (fma z z (- t))))
4.8b	(* (* y 4.0) (fma z z (- t)))
4.8b	(* (* y 4.0) (fma z z (- t)))
4.8b	(* (* y 4.0) (fma z z (- t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 77

Calls

4 calls:

20.0ms	(cbrt (* (* y 4.0) (fma z z (- t))))
26.0ms	(* (* y 4.0) (fma z z (- t)))
21.0ms	(* (* y 4.0) (fma z z (- t)))
30.0ms	(* (* y 4.0) (fma z z (- t)))

series585.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (* (* y 4.0) (fma z z (- t))))
102.0ms	(* (* y 4.0) (fma z z (- t)))
118.0ms	(* (* y 4.0) (fma z z (- t)))
114.0ms	(* (* y 4.0) (fma z z (- t)))

simplify2.7s

Counts

89 → 89

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	96	1123
1	230	1092
2	734	898
3	2721	891
done	5001	884

prune425.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize55.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (* y 4.0) (fma z z (- t)))
5.4b	(cbrt (fma z z (- t)))
5.4b	(cbrt (fma z z (- t)))
5.4b	(cbrt (fma z z (- t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

19.0ms	(* (* y 4.0) (fma z z (- t)))
1.0ms	(cbrt (fma z z (- t)))
1.0ms	(cbrt (fma z z (- t)))
1.0ms	(cbrt (fma z z (- t)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (* y 4.0) (fma z z (- t)))
165.0ms	(cbrt (fma z z (- t)))
135.0ms	(cbrt (fma z z (- t)))
139.0ms	(cbrt (fma z z (- t)))

simplify2.2s

Counts

73 → 73

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	86	797
1	200	785
2	670	691
3	2484	670
done	5000	655

prune461.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.0b

regimes364.0ms

Accuracy

85.7% (0.5b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 6.0b

bsearch229.0ms

Steps

Iters	Range		Point
10	3.029225315373134e+150	5.4068805428593804e+166	1.343821229368199e+154
9	-4.846140813705079e+155	-5.517584414886129e+147	-1.3396835717420102e+154

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	55
1	31	39
done	31	39

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

15777×

body

valid