Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

356×

body

valid

simplify75.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.9b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite48.0ms

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:

16.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
22.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series125.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (* z 9.0) t)
49.0ms	(- (* x y) (* (* z 9.0) t))
60.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5001	375

prune178.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
7.8b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity` `add-cbrt-cube`
18×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
11×	`prod-exp`
10×	`pow1`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`add-log-exp`
4×	`cbrt-undiv` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r/` `prod-diff` `associate-l/` `flip--`

Counts

3 → 94

Calls

3 calls:

20.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
34.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series173.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
46.0ms	(- (* x y) (* (* z 9.0) t))
108.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	532	801
1	2382	689
2	5001	683

prune235.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
7.9b	(/ (- (* 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-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:

16.0ms	(* z (* 9.0 t))
9.0ms	(- (* x y) (* z (* 9.0 t)))
24.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series128.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* z (* 9.0 t))
46.0ms	(- (* x y) (* z (* 9.0 t)))
63.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	342	437
1	1396	374
2	5001	374

prune171.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(- (* x y) (* 9.0 (* t z)))
0.3b	(* 9.0 (* t z))
7.9b	(/ (- (* x y) (* 9.0 (* t z))) (* 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-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:

9.0ms	(- (* x y) (* 9.0 (* t z)))
18.0ms	(* 9.0 (* t z))
22.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series126.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (* x y) (* 9.0 (* t z)))
21.0ms	(* 9.0 (* t z))
58.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	336	437
1	1324	374
2	5002	374

prune154.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.9b

regimes380.0ms

Accuracy

0% (0.5b remaining)

Error of 7.9b against oracle of 7.4b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample834.0ms

Algorithm

intervals

Results

375.0ms

11232×

body

valid