Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

361×

body

valid

simplify71.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.2b	(/ (- (* 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-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)
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
66.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (11.0ms)

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

prune203.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (- (* (* z 9.0) t)))
0.2b	(* (* z 9.0) t)
6.2b	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma x y (- (* (* z 9.0) t)))
7.0ms	(* (* z 9.0) t)
3.0ms	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma x y (- (* (* z 9.0) t)))
17.0ms	(* (* z 9.0) t)
71.0ms	(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	243	368
1	977	305
2	4946	305
3	5001	305

prune179.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (- (* z (* 9.0 t))))
0.2b	(* z (* 9.0 t))
6.2b	(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma x y (- (* z (* 9.0 t))))
6.0ms	(* z (* 9.0 t))
3.0ms	(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

series145.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma x y (- (* z (* 9.0 t))))
17.0ms	(* z (* 9.0 t))
70.0ms	(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	235	367
1	886	304
2	4000	304
3	5002	303

prune177.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
6.2b	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

3.0ms	(- (* x y) (* 9.0 (* t z)))
6.0ms	(* 9.0 (* t z))
42.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

series141.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* x y) (* 9.0 (* t z)))
25.0ms	(* 9.0 (* t z))
64.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	451	675
1	2072	572
2	5001	566

prune225.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.5b

regimes796.0ms

Accuracy

82.8% (0.7b remaining)

Error of 4.9b against oracle of 4.2b and baseline of 8.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	34
1	46	34

end0.0ms

sample703.0ms

Algorithm

intervals

Results

377.0ms

11216×

body

valid