Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	9
1	40	9
2	78	9
3	134	9
4	200	9
5	233	9
6	239	9
7	239	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize8.0ms

Local error

Found 2 expressions with local error:

3.6b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite15.0ms

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--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `flip-+` `div-inv`

Counts

2 → 50

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) y))
9.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* x x) (* (* y 4.0) y))
69.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	237	617
1	1114	565
2	5002	555

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b	(/ x (/ (fma x x (* (* y 4.0) y)) x))
2.1b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
19.1b	(/ (fma x x (* (* y 4.0) y)) y)
19.7b	(/ (fma x x (* (* y 4.0) y)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`associate-/r*`
25×	`add-exp-log` `add-cbrt-cube`
11×	`cbrt-undiv` `div-exp`
10×	`div-inv` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 178

Calls

4 calls:

6.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
7.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
3.0ms	(/ (fma x x (* (* y 4.0) y)) y)
3.0ms	(/ (fma x x (* (* y 4.0) y)) x)

series269.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
57.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
72.0ms	(/ (fma x x (* (* y 4.0) y)) y)
75.0ms	(/ (fma x x (* (* y 4.0) y)) x)

simplify98.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	613	1740
1	3204	1580
2	5002	1580

prune478.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

1.9b	(/ x (/ (fma x x (* (* y 4.0) y)) x))
2.1b	(/ (* y 4.0) (fma 4.0 y (/ (pow x 2) y)))
8.1b	(/ (pow x 2) y)
19.7b	(/ (fma x x (* (* y 4.0) y)) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
73×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
21×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-/l*`
12×	`unpow-prod-down`
9×	`div-exp`
8×	`div-inv`
7×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 175

Calls

4 calls:

6.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
5.0ms	(/ (* y 4.0) (fma 4.0 y (/ (pow x 2) y)))
5.0ms	(/ (pow x 2) y)
3.0ms	(/ (fma x x (* (* y 4.0) y)) x)

series227.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
65.0ms	(/ (* y 4.0) (fma 4.0 y (/ (pow x 2) y)))
26.0ms	(/ (pow x 2) y)
71.0ms	(/ (fma x x (* (* y 4.0) y)) x)

simplify93.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	582	1433
1	3097	1281
2	5001	1279

prune549.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes77.0ms

Accuracy

80.3% (3.7b remaining)

Error of 4.0b against oracle of 0.3b and baseline of 19.1b

bsearch155.0ms

Steps

Iters	Range		Point
7	3.3765927396946256e+151	1.3584121836592172e+153	1.340959673951936e+153
9	1.0795288956026166e-191	1.5611349449216984e-183	8.39893520792412e-184
6	-6.46348463023251e-162	-7.162953615087897e-163	-1.3929248153997159e-162
8	-1.5245694070588296e+152	-4.322187676820593e+148	-1.5004990530179034e+152

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	22
1	32	22

end0.0ms

sample367.0ms

Algorithm

intervals

Results

232.0ms

8000×

body

valid