Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	61×	body	640	valid
9.0ms	143×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	15×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
2.3b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite122.0ms

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))
65.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (- x 1.0))
26.0ms	(/ 1.0 (+ x 1.0))
180.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify170.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 2 (71.0ms)

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

prune705.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.5b	(- (- x 1.0) (+ x 1.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
29×	`prod-diff`
20×	`add-cube-cbrt`
14×	`add-log-exp`
11×	`associate--l+` `distribute-lft-out--`
8×	`frac-sub` `difference-of-squares`
7×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out`
6×	`diff-log` `associate-*r/` `associate-/l/`
5×	`fma-neg`
4×	`flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `sum-log` `associate-/r/` `log1p-expm1-u`
1×	`associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+`

Counts

2 → 97

Calls

2 calls:

56.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
29.0ms	(- (- x 1.0) (+ x 1.0))

series64.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
8.0ms	(- (- x 1.0) (+ x 1.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	561	1035
1	3510	762
2	5001	760

prune196.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (/ 1 (pow x 2)) (* 2.0 (/ 1 (pow x 4)))))
0.0b	(/ (- 2.0) (pow x 6))
0.1b	(/ 1 (pow x 4))
0.3b	(/ 1 (pow x 2))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

398×	`times-frac`
335×	`add-sqr-sqrt`
327×	`*-un-lft-identity`
325×	`add-cube-cbrt`
222×	`prod-diff`
178×	`unpow-prod-down`
108×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
74×	`fma-neg`
60×	`sqr-pow`
36×	`neg-mul-1`
27×	`add-exp-log`
22×	`associate-/r*`
16×	`associate-/l*`
15×	`div-exp`
10×	`add-cbrt-cube`
7×	`pow-to-exp` `pow-exp` `div-inv`
6×	`rec-exp` `1-exp` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `clear-num`
2×	`neg-sub0` `pow-flip` `div-sub` `inv-pow`
1×	`associate--l-` `sub-neg` `flip3--` `diff-log` `distribute-frac-neg` `flip--` `fma-udef` `associate--r+` `distribute-lft-out--`

Counts

4 → 536

Calls

4 calls:

71.0ms	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (/ 1 (pow x 2)) (* 2.0 (/ 1 (pow x 4)))))
6.0ms	(/ (- 2.0) (pow x 6))
4.0ms	(/ 1 (pow x 4))
4.0ms	(/ 1 (pow x 2))

series165.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (/ 1 (pow x 2)) (* 2.0 (/ 1 (pow x 4)))))
49.0ms	(/ (- 2.0) (pow x 6))
36.0ms	(/ 1 (pow x 4))
17.0ms	(/ 1 (pow x 2))

simplify179.0ms

Algorithm

egg-herbie

Counts

548 → 548

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	1155	12881
1	3830	7373
2	5002	7324

prune995.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

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:

0.0ms	(fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4))))
71.0ms	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4)))))
6.0ms	(/ (- 2.0) (pow x 6))
4.0ms	(/ 1 (pow x 4))

series265.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4))))
72.0ms	(- (/ (- 2.0) (pow x 6)) (fma 2.0 (pow x (- 2)) (* 2.0 (/ 1 (pow x 4)))))
57.0ms	(/ (- 2.0) (pow x 6))
29.0ms	(/ 1 (pow x 4))

simplify167.0ms

Algorithm

egg-herbie

Counts

499 → 499

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	1046	12714
1	3327	7377
2	5002	7208

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 13.8b

bsearch110.0ms

Steps

Iters	Range		Point
9	1654.2658435481542	671819857.7007226	1784.716919626997
9	-8.348017961860799e+20	-730735430349981.2	-6402103580936862.0

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	18
1	41	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

387.0ms	1876×	body	640	valid
289.0ms	4277×	body	80	valid
192.0ms	1218×	body	320	valid
74.0ms	629×	body	160	valid