Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite61.0ms

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))
46.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series199.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
133.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
30.0ms	(/ 1.0 (- x 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (33.0ms)

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

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
70×	`times-frac`
43×	`add-sqr-sqrt`
35×	`distribute-lft-out`
29×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
17×	`distribute-lft-out--`
16×	`unpow-prod-down` `cube-prod`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `flip3--` `unpow3` `flip--` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
43.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
68.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
75.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series506.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (- x 1.0))
132.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
150.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
194.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify66.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	487	1051
1	2059	1002
2	5001	992

prune504.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 1.0 (- x 1.0)))
0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
2.6b	(log (exp (/ 1.0 (- x 1.0))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
63×	`exp-prod`
60×	`times-frac`
45×	`log-pow`
44×	`add-cube-cbrt`
25×	`fma-def`
13×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`pow1`
6×	`add-exp-log` `log-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
3×	`associate-+l+` `associate-/l*`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `rem-exp-log`

Counts

4 → 148

Calls

4 calls:

11.0ms	(exp (/ 1.0 (- x 1.0)))
107.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
12.0ms	(log (exp (/ 1.0 (- x 1.0))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(exp (/ 1.0 (- x 1.0)))
127.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
29.0ms	(/ 1.0 (- x 1.0))
33.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	391	736
1	1198	686
2	5001	678

prune382.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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

sample492.0ms

Algorithm

intervals

Results

401.0ms

8000×

body

valid