Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	259×	body	80	nan

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
95×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 142

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
9.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series177.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
55.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify88.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	627	1691
1	2379	1609
2	5002	1609

prune417.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
371×	`add-sqr-sqrt` `*-un-lft-identity`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`flip3--` `associate-/r/` `flip--` `fma-udef`

Counts

3 → 356

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
15.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
6.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
85.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
78.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1624	5786
1	5001	5326

prune731.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (* (- x 1.0) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))) (/ 1 6.0))
0.0b	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(* (- x 1.0) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
51×	`times-frac`
43×	`add-sqr-sqrt`
42×	`div-exp`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
32×	`add-cbrt-cube`
20×	`prod-exp`
16×	`associate-/r*`
13×	`cbrt-undiv` `associate-r`
11×	`rec-exp` `1-exp`
7×	`pow1`
6×	`cbrt-unprod` `associate-/l/`
5×	`associate-l` `div-inv`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-l/` `flip--` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 159

Calls

4 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
13.0ms	(/ (* (- x 1.0) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))) (/ 1 6.0))
4.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
10.0ms	(* (- x 1.0) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
86.0ms	(/ (* (- x 1.0) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))) (/ 1 6.0))
65.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
79.0ms	(* (- x 1.0) (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))

simplify98.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	766	1485
1	3683	1205
2	5002	1148

prune345.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (* (- x 1.0) (expm1 (log1p (/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))))) (/ 1 6.0))
0.0b	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(* (- x 1.0) (expm1 (log1p (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
32×	`add-exp-log` `add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
16×	`associate-/r*`
14×	`div-exp`
7×	`pow1` `cbrt-undiv`
5×	`associate-l` `prod-exp`
4×	`expm1-log1p-u` `associate-l/` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
9.0ms	(/ (* (- x 1.0) (expm1 (log1p (/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))))) (/ 1 6.0))
3.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
6.0ms	(* (- x 1.0) (expm1 (log1p (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
242.0ms	(/ (* (- x 1.0) (expm1 (log1p (/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))))) (/ 1 6.0))
65.0ms	(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
225.0ms	(* (- x 1.0) (expm1 (log1p (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))))))

simplify83.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	617	1267
1	2908	998
2	5001	931

prune328.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample636.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
210.0ms	8043×	body	80	nan