Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

11.0ms

(/ (+ x 1.0) (- 1.0 x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	205	309
1	681	292
2	2801	286
3	5002	286

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
60×	`times-frac`
52×	`exp-prod`
35×	`add-cube-cbrt`
27×	`log-pow`
16×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`log-prod` `flip3--` `flip--` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 117

Calls

3 calls:

20.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
19.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
13.0ms	(/ (+ x 1.0) (- 1.0 x))

series155.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
88.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
36.0ms	(/ (+ x 1.0) (- 1.0 x))

simplify99.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	309	731
1	889	688
2	3417	670
3	5002	667

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)))
0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.1b	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
140×	`times-frac`
137×	`add-sqr-sqrt`
116×	`cbrt-prod`
79×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
61×	`exp-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cube-mult` `pow-unpow` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `cube-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+` `rem-exp-log`

Counts

4 → 254

Calls

4 calls:

59.0ms	(exp (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)))
11.0ms	(/ (+ x 1.0) (- 1.0 x))
13.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
13.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series207.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(exp (cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3)))
31.0ms	(/ (+ x 1.0) (- 1.0 x))
35.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
53.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify78.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	632	1967
1	2635	1822
2	5001	1785

prune395.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(log (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3)))
0.0b	(cbrt (log (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3))))
0.1b	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

210×	`*-un-lft-identity`
140×	`times-frac`
138×	`add-sqr-sqrt`
118×	`log-pow`
116×	`exp-prod`
80×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
62×	`cbrt-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `flip3--` `flip--` `div-inv`
5×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
3×	`cube-mult` `pow-unpow` `log-prod` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 257

Calls

4 calls:

11.0ms	(/ (+ x 1.0) (- 1.0 x))
54.0ms	(log (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3)))
44.0ms	(cbrt (log (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3))))
12.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series176.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (+ x 1.0) (- 1.0 x))
55.0ms	(log (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3)))
31.0ms	(cbrt (log (exp (pow (/ (+ x 1.0) (- 1.0 x)) 3))))
58.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify81.0ms

Algorithm

egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	630	2045
1	2574	1709
2	5001	1685

prune442.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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	13	9
1	13	9

end0.0ms

sample344.0ms

Algorithm

intervals

Results

258.0ms

8000×

body

valid