Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

349×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.5b	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.2b	(* (* (* y 9.0) z) t)

rewrite34.0ms

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

series291.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* y 9.0) z)
171.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
28.0ms	(* (* (* y 9.0) z) t)

simplify697.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	125	997
1	317	954
2	1382	823
done	5001	823

prune270.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.5b	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
3.2b	(* (* y 9.0) (* z t))

rewrite15.0ms

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))

series272.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
164.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
29.0ms	(* (* y 9.0) (* z t))

simplify488.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (95.0ms)

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

prune196.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b	(* 9.0 (* z t))
0.5b	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
3.2b	(* y (* 9.0 (* z t)))

rewrite27.0ms

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-l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-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))))
6.0ms	(* 9.0 (* z t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
16.0ms	(* y (* 9.0 (* z t)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
24.0ms	(* 9.0 (* z t))
161.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
31.0ms	(* y (* 9.0 (* z t)))

simplify475.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	121	991
1	298	952
2	1132	821
done	5000	821

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma 27.0 (* a b) (* x 2.0)) (* 9.0 (* t (* z y))))
0.1b	(fma 27.0 (* a b) (* x 2.0))
0.2b	(* 9.0 (* t (* z y)))
6.2b	(* t (* z y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

3.0ms	(- (fma 27.0 (* a b) (* x 2.0)) (* 9.0 (* t (* z y))))
0.0ms	(fma 27.0 (* a b) (* x 2.0))
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series263.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (fma 27.0 (* a b) (* x 2.0)) (* 9.0 (* t (* z y))))
41.0ms	(fma 27.0 (* a b) (* x 2.0))
29.0ms	(* 9.0 (* t (* z y)))
30.0ms	(* t (* z y))

simplify452.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	115	1121
1	273	1066
2	1011	931
done	5001	931

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes554.0ms

Accuracy

81.9% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 3.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	67
1	44	52
done	44	52

end0.0ms

sample843.0ms

Algorithm

intervals

Results

455.0ms

10974×

body

valid