Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

361×

body

valid

simplify92.0ms

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: 8.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
8.0b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite50.0ms

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:

8.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
23.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
70.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (16.0ms)

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

prune325.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
8.0b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite53.0ms

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-l` `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-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

10.0ms	(- (* x y) (* z (* 9.0 t)))
19.0ms	(* z (* 9.0 t))
23.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series148.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x y) (* z (* 9.0 t)))
20.0ms	(* z (* 9.0 t))
72.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	342	437
1	1396	374
2	5002	374

prune313.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.2b

localize12.0ms

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))
6.5b	(/ (* x y) a)
6.6b	(/ (* t z) a)

rewrite61.0ms

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:

18.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
17.0ms	(* 4.5 (/ (* t z) a))
12.0ms	(/ (* x y) a)
10.0ms	(/ (* t z) a)

series197.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
26.0ms	(/ (* x y) a)
22.0ms	(/ (* t z) a)

simplify67.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (18.0ms)

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

prune421.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
5.1b	(/ x (/ a y))
6.6b	(/ (* t z) a)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

20.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
18.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ x (/ a y))
10.0ms	(/ (* t z) a)

series168.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
23.0ms	(/ x (/ a y))
20.0ms	(/ (* t z) a)

simplify87.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	624	894
1	2901	819
2	5001	819

prune622.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes704.0ms

Accuracy

83.2% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	21
1	43	21

end0.0ms

sample817.0ms

Algorithm

intervals

Results

438.0ms

11256×

body

valid