Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	263×	body	80	nan

simplify21.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
16.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series177.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
46.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
87.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (16.0ms)

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

prune337.0ms

Pruning

3 alts after pruning (3 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)))

rewrite54.0ms

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:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
21.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
9.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
84.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
80.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify96.0ms

Algorithm

egg-herbie

Counts

365 → 365

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1624	5786
1	5001	5326

prune856.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
12.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
50.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
81.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (18.0ms)

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

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
1.3b	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
38×	`exp-prod`
34×	`add-cube-cbrt`
20×	`pow-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `associate-/r*` `div-inv`
2×	`div-sub` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `exp-diff` `div-exp` `pow-exp` `clear-num` `flip--` `fma-udef` `rem-exp-log` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
8.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
16.0ms	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

series398.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
101.0ms	(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
69.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
193.0ms	(pow (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	461	1084
1	1545	1019
2	5002	1013

prune389.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

444.0ms	8000×	body	80	valid
390.0ms	7979×	body	80	nan