Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	65×	body	640	valid
5.0ms	129×	body	80	valid
5.0ms	45×	body	320	valid
1.0ms	17×	body	160	valid

simplify8.0ms

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: 15.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.1b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite123.0ms

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))
5.0ms	(/ 1.0 (- x 1.0))
66.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1.0 (+ x 1.0))
30.0ms	(/ 1.0 (- x 1.0))
174.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify168.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 2 (72.0ms)

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

prune666.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
0.0b	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
0.2b	(/ 1.0 (+ (pow x 3) (pow 1.0 3)))
30.7b	(fma (fma 1.0 (- 1.0 x) (pow x 2)) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ (- (pow (cbrt 1.0) 3)) (- x 1.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

436×	`*-un-lft-identity`
427×	`times-frac`
396×	`add-sqr-sqrt`
232×	`add-cube-cbrt`
216×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
160×	`unpow-prod-down` `cube-prod`
144×	`cbrt-prod`
83×	`associate-/l*`
82×	`distribute-lft-out--` `difference-of-squares`
24×	`cube-mult` `unpow3` `sqr-pow`
20×	`distribute-lft-out`
19×	`associate-/r*`
12×	`neg-mul-1`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `sum-cubes` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `flip--`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 591

Calls

4 calls:

25.0ms	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
22.0ms	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
24.0ms	(/ 1.0 (+ (pow x 3) (pow 1.0 3)))
0.0ms	(fma (fma 1.0 (- 1.0 x) (pow x 2)) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ (- (pow (cbrt 1.0) 3)) (- x 1.0)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
31.0ms	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
76.0ms	(/ 1.0 (+ (pow x 3) (pow 1.0 3)))
410.0ms	(fma (fma 1.0 (- 1.0 x) (pow x 2)) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ (- (pow (cbrt 1.0) 3)) (- x 1.0)))

simplify175.0ms

Algorithm

egg-herbie

Counts

603 → 603

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	865	5436
1	4704	4963
2	5001	4963

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (cbrt 1.0) 3) (* 1 (- x 1.0)))
0.1b	(/ 1 (pow x 4))
0.1b	(/ (- 2.0) (pow x 6))
0.2b	(/ 1 (pow x 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
93×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
69×	`unpow-prod-down`
45×	`add-exp-log`
34×	`associate-/l*`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `div-exp`
23×	`associate-/r*`
21×	`sqr-pow`
15×	`add-cbrt-cube`
12×	`cbrt-prod` `cube-prod`
10×	`pow-to-exp` `pow-exp`
9×	`1-exp`
8×	`neg-mul-1`
6×	`rec-exp` `prod-exp`
5×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `unpow2` `add-log-exp`
2×	`cube-mult` `pow-flip` `unpow3` `associate-*r/` `associate-/r/` `inv-pow`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `flip--` `cbrt-unprod`

Counts

4 → 281

Calls

4 calls:

10.0ms	(/ (pow (cbrt 1.0) 3) (* 1 (- x 1.0)))
4.0ms	(/ 1 (pow x 4))
6.0ms	(/ (- 2.0) (pow x 6))
4.0ms	(/ 1 (pow x 2))

series131.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (pow (cbrt 1.0) 3) (* 1 (- x 1.0)))
32.0ms	(/ 1 (pow x 4))
47.0ms	(/ (- 2.0) (pow x 6))
22.0ms	(/ 1 (pow x 2))

simplify109.0ms

Algorithm

egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	837	1604
1	4882	1361
2	5001	1361

prune882.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
0.0b	(/ (pow (cbrt 1.0) 3) (* 1 (- x 1.0)))
0.1b	(/ 1 (pow x 4))
0.1b	(/ (- 2.0) (pow x 6))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

309×	`times-frac`
265×	`add-sqr-sqrt` `*-un-lft-identity`
183×	`add-cube-cbrt`
132×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
129×	`unpow-prod-down`
84×	`cbrt-prod` `cube-prod`
71×	`associate-/l*`
41×	`distribute-lft-out--` `difference-of-squares`
38×	`add-exp-log`
29×	`sqr-pow`
20×	`associate-/r*`
19×	`div-exp`
15×	`add-cbrt-cube`
14×	`cube-mult` `neg-mul-1` `unpow3`
7×	`pow-to-exp` `pow-exp`
6×	`1-exp` `prod-exp`
5×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`rec-exp`
2×	`neg-sub0` `flip3--` `div-sub` `associate-*r/` `distribute-frac-neg` `flip--`
1×	`pow-flip` `cbrt-unprod` `inv-pow`

Counts

4 → 485

Calls

4 calls:

22.0ms	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
10.0ms	(/ (pow (cbrt 1.0) 3) (* 1 (- x 1.0)))
4.0ms	(/ 1 (pow x 4))
6.0ms	(/ (- 2.0) (pow x 6))

series152.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (- (pow (cbrt 1.0) 3)) (- x 1.0))
31.0ms	(/ (pow (cbrt 1.0) 3) (* 1 (- x 1.0)))
35.0ms	(/ 1 (pow x 4))
49.0ms	(/ (- 2.0) (pow x 6))

simplify71.0ms

Algorithm

egg-herbie

Counts

497 → 497

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1169	3749
1	5001	3485

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.7b

bsearch140.0ms

Steps

Iters	Range		Point
9	0.004380743253548005	488.5072251079851	210.68103720548342
10	-146662999352.95746	-3.9934486818618	-235.01839027929324

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	47
1	62	47
2	62	47

end0.0ms

sample456.0ms

Algorithm

intervals

Results

165.0ms	1928×	body	640	valid
95.0ms	4153×	body	80	valid
76.0ms	1279×	body	320	valid
26.0ms	640×	body	160	valid