Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

370×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	35	4
2	51	4
3	71	4
4	85	4
5	89	4
6	89	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(- (* x y) (* z t))
8.0b	(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

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

series105.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (* x y) (* z t))
55.0ms	(/ (- (* x y) (* z t)) a)

simplify105.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	218	336
1	769	309
2	2931	308
3	5001	307

prune170.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b	(- (* x y) (* z t))
8.0b	(/ (+ (- (* x y) (* z t)) (fma (- t) z (* t z))) a)
53.3b	(fma (- t) z (* t z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`associate-/l/`
1×	`cbrt-undiv` `associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

3 → 62

Calls

3 calls:

3.0ms	(- (* x y) (* z t))
28.0ms	(/ (+ (- (* x y) (* z t)) (fma (- t) z (* t z))) a)
1.0ms	(fma (- t) z (* t z))

series164.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* x y) (* z t))
83.0ms	(/ (+ (- (* x y) (* z t)) (fma (- t) z (* t z))) a)
29.0ms	(fma (- t) z (* t z))

simplify118.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	255	614
1	921	564
2	3842	556
3	5001	554

prune266.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1 (/ a (fma z (+ (- t) t) (- (* x y) (* t z)))))
0.4b	(- (* x y) (* t z))
8.0b	(/ a (fma z (+ (- t) t) (- (* x y) (* t z))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

6.0ms	(/ 1 (/ a (fma z (+ (- t) t) (- (* x y) (* t z)))))
3.0ms	(- (* x y) (* t z))
2.0ms	(/ a (fma z (+ (- t) t) (- (* x y) (* t z))))

series210.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ 1 (/ a (fma z (+ (- t) t) (- (* x y) (* t z)))))
44.0ms	(- (* x y) (* t z))
63.0ms	(/ a (fma z (+ (- t) t) (- (* x y) (* t z))))

simplify69.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	422	1615
1	1748	1469
2	5001	1382

prune356.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.4b	(- (* x y) (* t z))
0.9b	(/ 1 (fma z (+ (- t) t) (- (* x y) (* t z))))
7.4b	(/ (/ 1 a) (/ 1 (fma z (+ (- t) t) (- (* x y) (* t z)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
207×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`add-exp-log`
34×	`div-exp`
30×	`div-inv`
17×	`add-cbrt-cube`
16×	`associate-/r` `associate-/l`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `pow-flip` `fma-neg` `diff-log` `prod-diff` `associate-/r/` `flip--` `associate-/l/` `inv-pow`

Counts

3 → 278

Calls

3 calls:

3.0ms	(- (* x y) (* t z))
2.0ms	(/ 1 (fma z (+ (- t) t) (- (* x y) (* t z))))
17.0ms	(/ (/ 1 a) (/ 1 (fma z (+ (- t) t) (- (* x y) (* t z)))))

series207.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* x y) (* t z))
51.0ms	(/ 1 (fma z (+ (- t) t) (- (* x y) (* t z))))
106.0ms	(/ (/ 1 a) (/ 1 (fma z (+ (- t) t) (- (* x y) (* t z)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1245	4972
1	5001	4402

prune555.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.2b

regimes361.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample678.0ms

Algorithm

intervals

Results

345.0ms

11220×

body

valid