Details

sample171.0ms

Algorithm

intervals

Results

126.0ms

538×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
4	2295
3	723
2	217
1	67
0	28

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 93

Calls

4 calls:

15.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
62.0ms	(* (* (* x 18.0) y) z)
208.0ms	(* (* (* (* x 18.0) y) z) t)

series180.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 18.0) y)
33.0ms	(* (* j 27.0) k)
48.0ms	(* (* (* x 18.0) y) z)
67.0ms	(* (* (* (* x 18.0) y) z) t)

simplify5.9s

Counts

105 → 105

Iterations

Iter	Nodes
3	8441
2	1559
1	379
0	149

prune845.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.4b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
6.5b	(* (* (* x 18.0) y) (* z t))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 95

Calls

4 calls:

386.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
16.0ms	(* (* x 18.0) y)
14.0ms	(* (* j 27.0) k)
59.0ms	(* (* (* x 18.0) y) (* z t))

series372.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
23.0ms	(* (* x 18.0) y)
23.0ms	(* (* j 27.0) k)
65.0ms	(* (* (* x 18.0) y) (* z t))

simplify5.1s

Counts

107 → 107

Iterations

Iter	Nodes
3	9590
2	1824
1	471
0	176

prune901.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
0.5b	(* (* j 27.0) k)
4.1b	(* (* x 18.0) (* y (* z t)))
5.1b	(* y (* z t))

rewrite598.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-+l-` `flip-+`

Counts

4 → 95

Calls

4 calls:

454.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
28.0ms	(* (* j 27.0) k)
97.0ms	(* (* x 18.0) (* y (* z t)))
15.0ms	(* y (* z t))

series466.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c))
42.0ms	(* (* j 27.0) k)
87.0ms	(* (* x 18.0) (* y (* z t)))
38.0ms	(* y (* z t))

simplify3.5s

Counts

107 → 107

Iterations

Iter	Nodes
3	8588
2	1770
1	453
0	173

prune828.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

5.1b	(* y (* z t))
9.8b	(cbrt (* (* j 27.0) k))
9.8b	(cbrt (* (* j 27.0) k))
9.8b	(cbrt (* (* j 27.0) k))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

28.0ms	(* y (* z t))
19.0ms	(cbrt (* (* j 27.0) k))
14.0ms	(cbrt (* (* j 27.0) k))
22.0ms	(cbrt (* (* j 27.0) k))

series472.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* y (* z t))
143.0ms	(cbrt (* (* j 27.0) k))
154.0ms	(cbrt (* (* j 27.0) k))
149.0ms	(cbrt (* (* j 27.0) k))

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
4	2948
3	1206
2	447
1	181
0	86

prune681.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

69.7% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 5.5b

bsearch388.0ms

Steps

Iters	Range		Point
7	1752.8541968760296	227388.21434150374	22289.977042498147
8	-5.402645537653403e-36	-5.542946576191101e-40	-2.290721253144602e-39

simplify10.0ms

Iterations

Iter	Nodes
2	68
1	68
0	46

end0.0ms

sample5.6s

Algorithm

intervals

Results

4.5s

16085×

body

valid