Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

354×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.5b	(* (* z 9.0) t)
7.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

4.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
7.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series152.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* (* z 9.0) t))
25.0ms	(* (* z 9.0) t)
70.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5002	375

prune223.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.6b	(/ (* x y) a)
6.3b	(/ (* t z) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

6.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms	(* 4.5 (/ (* t z) a))
4.0ms	(/ (* x y) a)
5.0ms	(/ (* t z) a)

series198.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
22.0ms	(/ (* x y) a)
26.0ms	(/ (* t z) a)

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	405	538
1	2002	467
2	5001	467

prune309.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (* x y))
0.0b	(- (* 0.5 (* x y)) (* 4.5 (* t z)))
0.2b	(* 4.5 (* t z))
7.2b	(/ (- (* 0.5 (* x y)) (* 4.5 (* t z))) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* 0.5 (* x y))
5.0ms	(- (* 0.5 (* x y)) (* 4.5 (* t z)))
5.0ms	(* 4.5 (* t z))
8.0ms	(/ (- (* 0.5 (* x y)) (* 4.5 (* t z))) a)

series208.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 0.5 (* x y))
79.0ms	(- (* 0.5 (* x y)) (* 4.5 (* t z)))
23.0ms	(* 4.5 (* t z))
84.0ms	(/ (- (* 0.5 (* x y)) (* 4.5 (* t z))) a)

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	373	625
1	1445	565
2	5002	564

prune284.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (* x y)) (* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z))))
0.3b	(* (cbrt 4.5) (* t z))
0.3b	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z)))
7.2b	(/ (- (* 0.5 (* x y)) (* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z)))) a)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
30×	`pow1`
20×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

4 → 101

Calls

4 calls:

5.0ms	(- (* 0.5 (* x y)) (* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z))))
6.0ms	(* (cbrt 4.5) (* t z))
12.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z)))
8.0ms	(/ (- (* 0.5 (* x y)) (* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z)))) a)

series441.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (* 0.5 (* x y)) (* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z))))
56.0ms	(* (cbrt 4.5) (* t z))
74.0ms	(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z)))
171.0ms	(/ (- (* 0.5 (* x y)) (* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (* t z)))) a)

simplify78.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	419	1219
1	1875	1028
2	5002	942

prune334.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

regimes726.0ms

Accuracy

50.1% (3.8b remaining)

Error of 4.2b against oracle of 0.4b and baseline of 8.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	48
1	65	48

end0.0ms

sample723.0ms

Algorithm

intervals

Results

397.0ms

11122×

body

valid