Details

sample44.0ms

Algorithm

intervals

Results

28.0ms

365×

body

valid

simplify93.0ms

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: 6.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
6.5b	(/ (- (* 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))
7.0ms	(* (* z 9.0) t)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(* (* z 9.0) t)
73.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (15.0ms)

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

prune224.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 4.5 (/ (* t z) a))
5.0b	(/ (* t z) a)
5.8b	(/ (* x y) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

8.0ms	(* 4.5 (/ (* t z) a))
3.0ms	(/ (* t z) a)
4.0ms	(/ (* x y) a)

series80.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* 4.5 (/ (* t z) a))
27.0ms	(/ (* t z) a)
23.0ms	(/ (* x y) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	300	333
1	1528	275
2	5001	275

prune258.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.2b	(- (* x y) (* 9.0 (* t z)))
6.5b	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

rewrite55.0ms

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:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
43.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* 9.0 (* t z))
59.0ms	(- (* x y) (* 9.0 (* t z)))
78.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (69.0ms)

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

prune287.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 4.5 (/ 1 (/ a (* t z))))
0.4b	(/ 1 (/ a (* t z)))
5.1b	(/ a (* t z))
5.8b	(/ (* x y) a)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

71×	`times-frac`
67×	`add-exp-log`
46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`add-cube-cbrt`
37×	`add-cbrt-cube`
28×	`div-exp`
26×	`associate-r`
18×	`prod-exp`
14×	`cbrt-undiv`
11×	`associate-/r*` `div-inv`
8×	`cbrt-unprod`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`associate-/r/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 163

Calls

4 calls:

21.0ms	(* 4.5 (/ 1 (/ a (* t z))))
7.0ms	(/ 1 (/ a (* t z)))
3.0ms	(/ a (* t z))
4.0ms	(/ (* x y) a)

series107.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 4.5 (/ 1 (/ a (* t z))))
24.0ms	(/ 1 (/ a (* t z)))
22.0ms	(/ a (* t z))
23.0ms	(/ (* x y) a)

simplify79.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	550	859
1	2770	717
2	5001	652

prune427.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes690.0ms

Accuracy

44.8% (4.1b remaining)

Error of 4.5b against oracle of 0.4b and baseline of 7.8b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	23
1	47	23
2	47	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

877.0ms

11189×

body

valid