Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

350×

body

valid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize12.0ms

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)))
0.5b	(* (* y 9.0) z)
6.8b	(* (* (* 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))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
22.0ms	(* (* (* y 9.0) z) t)

series301.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
170.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
29.0ms	(* (* y 9.0) z)
25.0ms	(* (* (* y 9.0) z) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	306	456
1	1445	388
2	5001	388

prune271.0ms

Pruning

10 alts after pruning (10 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)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
6.2b	(* (* 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))

series281.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
169.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
29.0ms	(* (* y 9.0) (* z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	273	387
1	1166	328
2	5002	327

prune196.0ms

Pruning

9 alts after pruning (9 fresh and 0 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)))))
0.3b	(* 9.0 (* z t))
5.8b	(* y (* 9.0 (* z t)))

rewrite30.0ms

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))))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
6.0ms	(* 9.0 (* z t))
19.0ms	(* y (* 9.0 (* z t)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
171.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
19.0ms	(* 9.0 (* z t))
28.0ms	(* y (* 9.0 (* z t)))

simplify59.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	295	454
1	1235	386
2	5001	386

prune268.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)
5.8b	(* y (* (* 9.0 z) t))

rewrite30.0ms

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:

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))))
7.0ms	(* (* 9.0 z) t)
18.0ms	(* y (* (* 9.0 z) t))

series539.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* x 2.0) (* y (* (* 9.0 z) t)))
417.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* 9.0 z) t))))
18.0ms	(* (* 9.0 z) t)
26.0ms	(* y (* (* 9.0 z) t))

simplify69.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	308	456
1	1441	388
2	5001	388

prune225.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes809.0ms

Accuracy

63.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	26
1	48	26

end0.0ms

sample847.0ms

Algorithm

intervals

Results

464.0ms

10977×

body

valid