Details

sample19.0ms

Algorithm

intervals

Results

4.0ms	42×	body	1280	valid
3.0ms	141×	body	80	valid
3.0ms	32×	body	640	valid
2.0ms	28×	body	320	valid
1.0ms	13×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ (+ x 1.0) (- x 1.0))
3.0b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 104

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
11.0ms	(/ (+ x 1.0) (- x 1.0))
58.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
37.0ms	(/ (+ x 1.0) (- x 1.0))
129.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	392	760
1	1379	726
2	5001	716

prune202.0ms

Filtered

113 candidates to 76 candidates (67.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- x 1.0))
0.0b	(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
0.0b	(* (+ x 1.0) (+ x 1.0))
14.9b	(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
35×	`*-un-lft-identity`
32×	`frac-sub`
30×	`flip3-+` `flip-+`
25×	`add-sqr-sqrt`
20×	`frac-times` `flip3--` `flip--`
19×	`add-cube-cbrt`
18×	`associate-/l/`
13×	`pow1`
12×	`times-frac`
10×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
9×	`associate-r`
7×	`associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `distribute-lft-out` `add-log-exp`
5×	`sub-neg` `difference-of-squares`
4×	`associate--l+` `associate-/r*`
3×	`associate-/l*`
2×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `diff-log` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out--`

Counts

4 → 152

Calls

4 calls:

13.0ms	(* x (- x 1.0))
21.0ms	(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
17.0ms	(* (+ x 1.0) (+ x 1.0))
9.0ms	(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (- x 1.0))
53.0ms	(/ (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
16.0ms	(* (+ x 1.0) (+ x 1.0))
39.0ms	(- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0)))

simplify135.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	769	1735
1	4437	1626
2	5001	1621

prune331.0ms

Filtered

164 candidates to 110 candidates (67.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3.0 x) 1.0)
11.3b	(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`difference-of-squares`
10×	`associate-/l*`
5×	`neg-mul-1`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `flip3--` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

2 → 83

Calls

2 calls:

3.0ms	(+ (* 3.0 x) 1.0)
18.0ms	(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3.0 x) 1.0)
53.0ms	(/ (- (+ (* 3.0 x) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	396	962
1	1629	925
2	5001	919

prune173.0ms

Filtered

89 candidates to 70 candidates (78.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
0.2b	(/ (- 1.0) (pow x 2))
0.2b	(/ 3.0 (pow x 3))
5.4b	(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

rewrite765.0ms

Algorithm

rewrite-expression-head

Rules

143×	`times-frac`
120×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
78×	`add-cube-cbrt`
48×	`unpow-prod-down`
29×	`distribute-rgt-neg-in`
27×	`distribute-lft-neg-in`
20×	`associate-/r*`
18×	`sqr-pow`
15×	`difference-of-squares`
14×	`add-exp-log`
13×	`cube-prod` `associate-/l*` `unpow2`
11×	`add-log-exp`
10×	`distribute-lft-out--`
9×	`neg-mul-1`
8×	`add-cbrt-cube`
6×	`div-exp`
5×	`frac-sub`
4×	`pow1` `cube-mult` `diff-log` `unpow3`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `associate--l-` `neg-sub0` `pow-to-exp` `frac-2neg` `div-sub` `pow-exp` `associate--l+` `clear-num` `div-inv`
1×	`distribute-frac-neg`

Counts

4 → 234

Calls

4 calls:

85.0ms	(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
6.0ms	(/ (- 1.0) (pow x 2))
4.0ms	(/ 3.0 (pow x 3))
655.0ms	(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (/ (- 1.0) (pow x 2)) (/ 3.0 x))
30.0ms	(/ (- 1.0) (pow x 2))
36.0ms	(/ 3.0 (pow x 3))
33.0ms	(- (- (/ (- 1.0) (pow x 2)) (/ 3.0 x)) (/ 3.0 (pow x 3)))

simplify91.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	741	1813
1	3530	1605
2	5001	1602

prune412.0ms

Filtered

246 candidates to 133 candidates (54.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch85.0ms

Steps

Iters	Range		Point
10	6622766257468.929	3.691237388434764e+23	7926639408581.21
8	-374005510135422.8	-868571838390.8226	-3547768106768.249

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	15
1	44	15
2	44	15

end0.0ms

sample530.0ms

Algorithm

intervals

Results

179.0ms	1710×	body	1280	valid
116.0ms	1315×	body	640	valid
89.0ms	4018×	body	80	valid
39.0ms	630×	body	320	valid
14.0ms	327×	body	160	valid

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	27	6
5	39	6
6	58	6
7	79	6
8	107	6
9	160	6
10	277	6
11	303	6
12	303	6