Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

341×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize14.0ms

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	(* (* y 9.0) z)
5.2b	(* (* (* y 9.0) z) t)

rewrite25.0ms

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:

4.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
10.0ms	(* (* y 9.0) z)
8.0ms	(* (* (* y 9.0) z) t)

series285.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
164.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
27.0ms	(* (* (* y 9.0) z) t)

simplify60.0ms

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

6 alts after pruning (6 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))))
5.4b	(* (* y 9.0) (* z t))

rewrite14.0ms

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:

4.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
7.0ms	(* (* y 9.0) (* z t))

series306.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
186.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
35.0ms	(* (* y 9.0) (* z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (52.0ms)

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

prune201.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))
5.4b	(* y (* 9.0 (* z t)))

rewrite20.0ms

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:

4.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
5.0ms	(* 9.0 (* z t))
8.0ms	(* y (* 9.0 (* z t)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
187.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
21.0ms	(* 9.0 (* z t))
31.0ms	(* y (* 9.0 (* z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (14.0ms)

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

prune275.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
0.2b	(* (cbrt 9.0) (* z t))
0.2b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
5.4b	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1` `add-exp-log`
40×	`pow-prod-down` `prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
10×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 98

Calls

4 calls:

1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
6.0ms	(* (cbrt 9.0) (* z t))
13.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
21.0ms	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
55.0ms	(* (cbrt 9.0) (* z t))
82.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
102.0ms	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

simplify71.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	348	969
1	1507	708
2	5001	612

prune310.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes731.0ms

Accuracy

83.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	30
1	49	30

end0.0ms

sample816.0ms

Algorithm

intervals

Results

453.0ms

10912×

body

valid