Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (79.0ms)

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

prune77.0ms

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite58.0ms

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

simplify102.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (92.0ms)

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

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))))
0.0b	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
2.3b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

1.0ms	(exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))))
0.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
14.0ms	(/ (+ x 1.0) (- 1.0 x))
0.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(exp (expm1 (log1p (/ (+ x 1.0) (- 1.0 x)))))
147.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
32.0ms	(/ (+ x 1.0) (- 1.0 x))
108.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	530	768
1	1878	709
2	5001	651

prune253.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- x 1.0))
14.5b	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
13×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `times-frac` `associate-r/` `associate-l/` `associate-/l*` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--` `add-log-exp`
1×	`frac-2neg` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 90

Calls

2 calls:

21.0ms	(* (- 1.0 x) (- x 1.0))
13.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) (- x 1.0))
60.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	497	875
1	2710	662
2	5001	635

prune154.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample216.0ms

Algorithm

intervals

Results

131.0ms

8000×

body

valid