Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	65×	body	640	valid
3.0ms	49×	body	320	valid
3.0ms	124×	body	80	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite91.0ms

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))
33.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (- x 1.0))
24.0ms	(/ 1.0 (+ x 1.0))
173.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify164.0ms

Algorithm

egg-herbie

Counts

513 → 513

Iterations

Useful iterations: 2 (71.0ms)

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

prune684.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 99

Calls

2 calls:

6.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms	(- (- x 1.0) (+ x 1.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	500	926
1	2870	692
2	5001	690

prune191.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt 1.0) (- x 1.0))
0.0b	(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
0.1b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0)))
2.7b	(- (- x 1.0) (+ x 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
114×	`add-sqr-sqrt`
75×	`times-frac`
60×	`add-cube-cbrt`
36×	`associate-r`
35×	`cbrt-prod`
32×	`add-exp-log`
29×	`prod-diff`
24×	`distribute-lft-out--`
22×	`add-cbrt-cube`
19×	`difference-of-squares`
16×	`add-log-exp`
11×	`associate--l+`
10×	`cbrt-undiv` `div-exp` `associate-l` `distribute-lft-out`
9×	`prod-exp` `associate-/r*` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-/l*`
6×	`pow1` `diff-log` `unswap-sqr`
5×	`flip3--` `fma-neg` `flip--`
4×	`expm1-log1p-u` `flip3-+` `frac-sub` `flip-+` `log1p-expm1-u` `div-inv`
2×	`sub-neg` `frac-2neg` `clear-num` `sum-log`
1×	`associate--l-` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate--r+`

Counts

4 → 226

Calls

4 calls:

6.0ms	(/ (cbrt 1.0) (- x 1.0))
8.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
25.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0)))
11.0ms	(- (- x 1.0) (+ x 1.0))

series270.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (cbrt 1.0) (- x 1.0))
82.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
125.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	968	2189
1	5001	1842

prune536.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt 1.0) (- x 1.0))
0.0b	(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
0.0b	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0))) (- 2.0))
0.1b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
75×	`times-frac`
61×	`add-exp-log`
47×	`add-cube-cbrt`
46×	`associate-r`
44×	`add-cbrt-cube`
35×	`cbrt-prod`
24×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
13×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1` `associate-l`
9×	`associate-/r*`
8×	`associate-/r/`
7×	`associate-/l*`
6×	`unswap-sqr`
5×	`associate-*l/`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out`
2×	`frac-times` `flip3--` `frac-2neg` `flip3-+` `associate-r/` `clear-num` `-commutative` `flip--` `flip-+`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 203

Calls

4 calls:

6.0ms	(/ (cbrt 1.0) (- x 1.0))
12.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
18.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0))) (- 2.0))
23.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (cbrt 1.0) (- x 1.0))
82.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
132.0ms	(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0))) (- 2.0))
119.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (/ (cbrt 1.0) (- x 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	933	2175
1	5001	1896

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	22	8
2	25	8
3	25	8

end0.0ms

sample459.0ms

Algorithm

intervals

Results

165.0ms	1931×	body	640	valid
96.0ms	4179×	body	80	valid
78.0ms	1284×	body	320	valid
25.0ms	606×	body	160	valid