Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

370×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 7.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

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:

3.0ms	(- (* x y) (* (* z 9.0) t))
6.0ms	(* (* z 9.0) t)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series149.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
75.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

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

prune220.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
6.7b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite19.0ms

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:

3.0ms	(- (* x y) (* z (* 9.0 t)))
6.0ms	(* z (* 9.0 t))
9.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series151.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x y) (* z (* 9.0 t)))
18.0ms	(* z (* 9.0 t))
73.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

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

prune207.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (/ (* t z) a))
5.5b	(/ (* x y) a)
6.5b	(/ (* t z) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

8.0ms	(* 0.5 (/ (* x y) a))
8.0ms	(* 4.5 (/ (* t z) a))
4.0ms	(/ (* x y) a)
4.0ms	(/ (* t z) a)

series106.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 0.5 (/ (* x y) a))
34.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* x y) a)
21.0ms	(/ (* t z) a)

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	388	484
1	2044	398
2	5002	398

prune321.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (/ (* x y) a))
0.2b	(* 4.5 (* t z))
5.5b	(/ (* x y) a)
6.4b	(/ (* 4.5 (* t z)) a)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`associate-r`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l` `associate-/r*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `clear-num` `-commutative` `associate-/l`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

8.0ms	(* 0.5 (/ (* x y) a))
6.0ms	(* 4.5 (* t z))
7.0ms	(/ (* x y) a)
7.0ms	(/ (* 4.5 (* t z)) a)

series107.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 0.5 (/ (* x y) a))
21.0ms	(* 4.5 (* t z))
21.0ms	(/ (* x y) a)
31.0ms	(/ (* 4.5 (* t z)) a)

simplify62.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	379	457
1	1984	371
2	5002	371

prune268.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

regimes550.0ms

Accuracy

47.8% (3.9b remaining)

Error of 4.3b against oracle of 0.4b and baseline of 7.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	31
1	52	31

end0.0ms

sample743.0ms

Algorithm

intervals

Results

404.0ms

11268×

body

valid