Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

341×

body

valid

simplify100.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

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

rewrite19.0ms

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)))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series286.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
162.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
31.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

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

prune255.0ms

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))

rewrite12.0ms

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))

series267.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
165.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
27.0ms	(* (* y 9.0) (* z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (45.0ms)

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

prune183.0ms

Pruning

7 alts after pruning (7 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)))))
0.2b	(* 9.0 (* z t))
5.4b	(* y (* 9.0 (* z t)))

rewrite19.0ms

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

series293.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
169.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
20.0ms	(* 9.0 (* z t))
31.0ms	(* y (* 9.0 (* z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

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

prune258.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite43.0ms

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)))
16.0ms	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))))
52.0ms	(* (cbrt 9.0) (* z t))
76.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t)))
87.0ms	(* y (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* z t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (53.0ms)

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

prune288.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes657.0ms

Accuracy

83.5% (0.6b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	18
1	42	18

end0.0ms

sample883.0ms

Algorithm

intervals

Results

504.0ms

10912×

body

valid