Details

sample15.0ms

Algorithm

intervals

Results

9.0ms

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` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

11.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	214	315
1	711	297
2	2979	293
3	5001	292

prune77.0ms

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))

rewrite56.0ms

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×	`expm1-log1p-u` `log-prod` `flip3--` `flip--` `log1p-expm1-u` `div-inv`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 123

Calls

3 calls:

20.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
20.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
11.0ms	(/ (+ x 1.0) (- 1.0 x))

series153.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(log (exp (/ (+ x 1.0) (- 1.0 x))))
87.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
35.0ms	(/ (+ x 1.0) (- 1.0 x))

simplify103.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	324	752
1	933	705
2	3664	694
3	5001	685

prune253.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (* 1 (exp (/ (+ x 1.0) (- 1.0 x)))))
0.0b	(exp (/ (+ x 1.0) (- 1.0 x)))
0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
40×	`times-frac`
26×	`exp-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `add-cbrt-cube`
4×	`associate-/r/` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `rem-log-exp` `log1p-expm1-u`
2×	`flip3--` `prod-exp` `log-pow` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log-prod` `frac-2neg` `flip3-+` `1-exp` `div-exp` `pow-prod-down` `clear-num` `flip-+` `rem-exp-log`

Counts

3 → 98

Calls

3 calls:

53.0ms	(log (* 1 (exp (/ (+ x 1.0) (- 1.0 x)))))
21.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
11.0ms	(/ (+ x 1.0) (- 1.0 x))

series153.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(log (* 1 (exp (/ (+ x 1.0) (- 1.0 x)))))
87.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
35.0ms	(/ (+ x 1.0) (- 1.0 x))

simplify108.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	306	614
1	963	572
2	3882	566
3	5001	560

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ x 1.0) (- 1.0 x)))
0.0b	(/ (+ x 1.0) (- 1.0 x))
0.4b	(log1p (exp (/ (+ x 1.0) (- 1.0 x))))
0.4b	(expm1 (log1p (exp (/ (+ x 1.0) (- 1.0 x)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
26×	`exp-prod`
25×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-/r/` `log1p-expm1-u` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip-+` `rem-exp-log` `expm1-udef`

Counts

4 → 105

Calls

4 calls:

19.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
11.0ms	(/ (+ x 1.0) (- 1.0 x))
0.0ms	(log1p (exp (/ (+ x 1.0) (- 1.0 x))))
0.0ms	(expm1 (log1p (exp (/ (+ x 1.0) (- 1.0 x)))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(exp (/ (+ x 1.0) (- 1.0 x)))
31.0ms	(/ (+ x 1.0) (- 1.0 x))
164.0ms	(log1p (exp (/ (+ x 1.0) (- 1.0 x))))
438.0ms	(expm1 (log1p (exp (/ (+ x 1.0) (- 1.0 x)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	475	834
1	1732	775
2	5002	766

prune282.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

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	6	3
1	6	3

end0.0ms

sample359.0ms

Algorithm

intervals

Results

265.0ms

8000×

body

valid