Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

321×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	17	17
1	35	17
2	92	16
3	253	16
4	506	16
5	629	16
6	704	16
7	741	16
8	894	16
9	1084	16
10	1088	16
done	1088	16

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize13.0ms

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)
9.1b	(* (* (* y 9.0) z) t)

rewrite88.0ms

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:

9.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
18.0ms	(* (* y 9.0) z)
58.0ms	(* (* (* y 9.0) z) t)

series309.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
177.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
23.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	125	997
1	302	954
2	1202	823
done	5000	823

prune270.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))))
6.7b	(* (* y 9.0) (* z t))

rewrite43.0ms

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:

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))))
28.0ms	(* (* y 9.0) (* z t))

series286.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
178.0ms	(fma (* a 27.0) b (- (* x 2.0) (* (* y 9.0) (* z t))))
30.0ms	(* (* y 9.0) (* z t))

simplify906.0ms

Counts

59 → 59

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	105	849
1	265	811
2	1043	698
done	5001	696

prune191.0ms

Pruning

9 alts after pruning (8 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))))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.2b	(* 9.0 (* z t))
6.3b	(* y (* 9.0 (* z t)))

rewrite76.0ms

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:

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)))))
17.0ms	(* 9.0 (* z t))
45.0ms	(* y (* 9.0 (* z t)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
174.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
34.0ms	(* y (* 9.0 (* z t)))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	991
1	290	952
2	1142	843
done	5000	821

prune287.0ms

Pruning

9 alts after pruning (7 fresh and 2 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)))
0.1b	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
0.2b	(* (* 9.0 z) t)
6.3b	(* y (* (* 9.0 z) t))

rewrite83.0ms

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` `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` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

10.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
0.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
19.0ms	(* (* 9.0 z) t)
51.0ms	(* y (* (* 9.0 z) t))

series343.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
195.0ms	(fma (* a 27.0) b (- (* x 2.0) (* y (* (* 9.0 z) t))))
27.0ms	(* (* 9.0 z) t)
33.0ms	(* y (* (* 9.0 z) t))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	124	996
1	303	955
2	1249	824
done	5000	824

prune269.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes728.0ms

Accuracy

82.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.4b

bsearch157.0ms

Steps

Iters	Range		Point
6	5.822559172165762e-06	5.133737368277297e-05	6.480925815489129e-06
11	-4.1000327500342624e+73	-2.4089386583684986e+53	-4.0100024465923724e+58

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	57
1	48	57
done	48	57

end0.0ms

sample984.0ms

Algorithm

intervals

Results

439.0ms

11019×

body

valid