Details

sample81.0ms

Algorithm

intervals

Results

37.0ms

339×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	17	329
1	35	329
2	92	304
3	257	304
4	618	304
5	1325	304
done	5000	304

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
7.2b	(* (* (* y 9.0) z) t)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
14.0ms	(* (* y 9.0) z)
71.0ms	(* (* (* y 9.0) z) t)

series385.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
210.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
25.0ms	(* (* y 9.0) z)
45.0ms	(* (* (* y 9.0) z) t)

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	124	18453
1	315	17260
2	1842	16990
done	5001	16510

prune584.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
6.9b	(* (* y 9.0) (* z t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

12.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
34.0ms	(* (* y 9.0) (* z t))

series409.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
256.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
49.0ms	(* (* y 9.0) (* z t))

simplify1.6s

Counts

59 → 59

Iterations

Useful iterations: 2 (300.0ms)

Iter	Nodes	Cost
0	104	15512
1	267	14426
2	1199	13986
done	5001	13986

prune445.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.3b	(* 9.0 (* z t))
6.8b	(* y (* 9.0 (* z t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

11.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
12.0ms	(* 9.0 (* z t))
36.0ms	(* y (* 9.0 (* z t)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
216.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
30.0ms	(* 9.0 (* z t))
45.0ms	(* y (* 9.0 (* z t)))

simplify1.7s

Counts

81 → 81

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	120	18373
1	294	17247
2	1327	16632
done	5001	16617

prune676.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* (* 9.0 z) t)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
6.8b	(* y (* (* 9.0 z) t))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

11.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
22.0ms	(* (* 9.0 z) t)
59.0ms	(* y (* (* 9.0 z) t))

series425.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
241.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
22.0ms	(* (* 9.0 z) t)
42.0ms	(* y (* (* 9.0 z) t))

simplify1.8s

Counts

81 → 81

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	123	18454
1	312	17272
2	1784	16672
done	5000	16552

prune532.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes2.2s

Accuracy

84.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.0b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	846
1	43	846
done	43	846

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

11115×

body

valid