Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
29.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms	(/ 1.0 (- x 1.0))

series187.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (+ x 1.0))
124.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
29.0ms	(/ 1.0 (- x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune234.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)
21.8b	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
105×	`times-frac`
96×	`cbrt-prod`
72×	`add-cube-cbrt`
63×	`unpow-prod-down` `cube-prod`
51×	`fma-def`
22×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
6×	`add-log-exp`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-/l*` `sqr-pow`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `frac-add` `clear-num` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 229

Calls

4 calls:

53.0ms	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(pow (/ 1.0 (- x 1.0)) 3)
10.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series226.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
27.0ms	(/ 1.0 (- x 1.0))
51.0ms	(pow (/ 1.0 (- x 1.0)) 3)
28.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	660	1237
1	3027	1116
2	5001	1101

prune406.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (- x 1.0))
0.0b	(fma 1.0 (+ x 1.0) (* x (- x 1.0)))
0.0b	(* (+ x 1.0) (- x 1.0))
17.8b	(/ (fma 1.0 (+ x 1.0) (* x (- x 1.0))) (* (+ x 1.0) (- x 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`pow1` `frac-times` `associate-/r/`
7×	`flip3--` `associate-l` `flip--`
6×	`flip3-+` `associate-*r/` `flip-+`
4×	`expm1-log1p-u` `sub-neg` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv` `distribute-lft-out`

Counts

4 → 140

Calls

4 calls:

7.0ms	(* x (- x 1.0))
1.0ms	(fma 1.0 (+ x 1.0) (* x (- x 1.0)))
10.0ms	(* (+ x 1.0) (- x 1.0))
9.0ms	(/ (fma 1.0 (+ x 1.0) (* x (- x 1.0))) (* (+ x 1.0) (- x 1.0)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (- x 1.0))
90.0ms	(fma 1.0 (+ x 1.0) (* x (- x 1.0)))
79.0ms	(* (+ x 1.0) (- x 1.0))
121.0ms	(/ (fma 1.0 (+ x 1.0) (* x (- x 1.0))) (* (+ x 1.0) (- x 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	539	1282
1	2688	955
2	5001	955

prune253.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample273.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid