Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	64×	body	640	valid
11.0ms	138×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	16×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
1.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

5.0ms	(/ 1.0 (+ x 1.0))
6.0ms	(/ 1.0 (- x 1.0))
67.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
178.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify177.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	1200	13350
1	3593	9620
2	5001	9568

prune702.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x 3) (pow 1.0 3))
0.0b	(/ 1.0 (- x 1.0))
0.4b	(/ 1.0 (+ (pow x 3) (pow 1.0 3)))
29.4b	(fma (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- (/ 1.0 (- x 1.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
42×	`times-frac`
39×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
25×	`distribute-lft-out`
23×	`unpow-prod-down` `cube-prod`
14×	`associate-/r*`
12×	`fma-def`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
5×	`sum-cubes`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `cube-mult` `flip3--` `unpow3` `sum-log` `flip--` `fma-udef` `sqr-pow`

Counts

4 → 135

Calls

4 calls:

15.0ms	(+ (pow x 3) (pow 1.0 3))
5.0ms	(/ 1.0 (- x 1.0))
28.0ms	(/ 1.0 (+ (pow x 3) (pow 1.0 3)))
0.0ms	(fma (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- (/ 1.0 (- x 1.0))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (pow x 3) (pow 1.0 3))
28.0ms	(/ 1.0 (- x 1.0))
74.0ms	(/ 1.0 (+ (pow x 3) (pow 1.0 3)))
233.0ms	(fma (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- (/ 1.0 (- x 1.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	441	911
1	1840	827
2	5001	810

prune392.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (/ 1 (pow x 2)) (* 2.0 (/ 1 (pow x 4))))
0.1b	(/ 1 (pow x 4))
0.1b	(/ (- 2.0) (pow x 6))
0.6b	(/ 1 (pow x 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
83×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`unpow-prod-down`
27×	`add-exp-log`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`associate-/r*`
19×	`sqr-pow`
16×	`associate-/l*`
15×	`div-exp`
10×	`add-cbrt-cube`
8×	`neg-mul-1`
7×	`pow-to-exp` `pow-exp`
6×	`rec-exp` `1-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`pow-flip` `inv-pow`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `fma-udef`

Counts

4 → 229

Calls

4 calls:

0.0ms	(fma 2.0 (/ 1 (pow x 2)) (* 2.0 (/ 1 (pow x 4))))
4.0ms	(/ 1 (pow x 4))
6.0ms	(/ (- 2.0) (pow x 6))
4.0ms	(/ 1 (pow x 2))

series384.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma 2.0 (/ 1 (pow x 2)) (* 2.0 (/ 1 (pow x 4))))
27.0ms	(/ 1 (pow x 4))
252.0ms	(/ (- 2.0) (pow x 6))
17.0ms	(/ 1 (pow x 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	585	1393
1	2736	1275
2	5001	1194

prune538.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4)))))
0.0b	(fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4))))
0.1b	(/ 1 (pow x 4))
0.1b	(/ (- 2.0) (pow x 6))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

374×	`times-frac`
318×	`add-sqr-sqrt`
310×	`*-un-lft-identity`
308×	`add-cube-cbrt`
222×	`prod-diff`
166×	`unpow-prod-down`
108×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
74×	`fma-neg`
56×	`sqr-pow`
36×	`neg-mul-1`
18×	`add-exp-log`
14×	`associate-/r*`
13×	`associate-/l*`
9×	`div-exp`
8×	`add-cbrt-cube`
6×	`div-inv` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `difference-of-squares`
3×	`rec-exp` `1-exp`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-sub` `clear-num` `fma-udef`
1×	`associate--l-` `sub-neg` `flip3--` `pow-flip` `diff-log` `distribute-frac-neg` `flip--` `associate--r+` `distribute-lft-out--` `inv-pow`

Counts

4 → 487

Calls

4 calls:

73.0ms	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4)))))
0.0ms	(fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4))))
4.0ms	(/ 1 (pow x 4))
6.0ms	(/ (- 2.0) (pow x 6))

series252.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4)))))
103.0ms	(fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4))))
26.0ms	(/ 1 (pow x 4))
53.0ms	(/ (- 2.0) (pow x 6))

simplify166.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	1047	12810
1	3498	7552
2	5001	7476

prune986.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.3b

bsearch101.0ms

Steps

Iters	Range		Point
9	15.365363555117188	8982319.97820102	219.77974492713562
8	-48882.64719934817	-1.7081313977704333	-228.13929609903033

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	23
1	50	23

end0.0ms

sample1.0s

Algorithm

intervals

Results

371.0ms	1838×	body	640	valid
276.0ms	4209×	body	80	valid
202.0ms	1310×	body	320	valid
73.0ms	643×	body	160	valid