Details

sample30.0ms

Algorithm

intervals

Results

18.0ms

268×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
7×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`add-log-exp`
4×	`div-sub` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `associate-+r-` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`+-commutative` `sum-log`

Counts

3 → 95

Calls

3 calls:

16.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
58.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series248.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
115.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	398	994
1	1427	934
2	5001	932

prune275.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.9b	(/ x (- (* t z) x))
3.4b	(/ y (- (* t z) x))
3.9b	(fma (/ y (- (* t z) x)) z x)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

50.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
5.0ms	(/ y (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)

series246.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
58.0ms	(/ x (- (* t z) x))
27.0ms	(/ y (- (* t z) x))
50.0ms	(fma (/ y (- (* t z) x)) z x)

simplify52.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	488	1388
1	1679	1305
2	5002	1301

prune392.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (/ (- (* t z) x) x))
2.9b	(/ (- (* t z) x) x)
3.4b	(/ y (- (* t z) x))
3.9b	(fma (/ y (- (* t z) x)) z x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `associate-/r*`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

4 → 151

Calls

4 calls:

11.0ms	(/ 1 (/ (- (* t z) x) x))
8.0ms	(/ (- (* t z) x) x)
5.0ms	(/ y (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)

series154.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (/ (- (* t z) x) x))
40.0ms	(/ (- (* t z) x) x)
32.0ms	(/ y (- (* t z) x))
53.0ms	(fma (/ y (- (* t z) x)) z x)

simplify76.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	507	1165
1	2485	1044
2	5001	973

prune418.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (/ (- (* t z) x) y))
2.9b	(/ (- (* t z) x) x)
3.4b	(/ (- (* t z) x) y)
3.9b	(fma (/ 1 (/ (- (* t z) x) y)) z x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `associate-/r*`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3--` `1-exp` `div-sub` `flip--`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

4 → 152

Calls

4 calls:

11.0ms	(/ 1 (/ (- (* t z) x) y))
8.0ms	(/ (- (* t z) x) x)
8.0ms	(/ (- (* t z) x) y)
0.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)

series186.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1 (/ (- (* t z) x) y))
40.0ms	(/ (- (* t z) x) x)
53.0ms	(/ (- (* t z) x) y)
42.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)

simplify71.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	503	1188
1	2395	1065
2	5001	995

prune415.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.7b

regimes307.0ms

Accuracy

69.1% (1.4b remaining)

Error of 1.6b against oracle of 0.2b and baseline of 4.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	40
1	37	40

end0.0ms

sample797.0ms

Algorithm

intervals

Results

582.0ms

8330×

body

valid