Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

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

prune1.0ms

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))

rewrite40.0ms

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:

8.0ms	(/ x (+ x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series181.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ x (+ x 1.0))
117.0ms	(+ (/ 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 (35.0ms)

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

prune223.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
54×	`times-frac`
40×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
21×	`fma-def` `distribute-lft-out`
16×	`exp-prod`
13×	`distribute-lft-out--`
9×	`log-pow` `add-log-exp`
7×	`difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `log-prod` `associate-/r/` `log1p-expm1-u`
3×	`associate-/l*`
2×	`flip3--` `exp-sum` `sum-log` `flip--` `div-inv` `rem-exp-log`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `frac-add` `clear-num` `flip-+`

Counts

4 → 122

Calls

4 calls:

24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
25.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
28.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
27.0ms	(/ 1.0 (- x 1.0))
124.0ms	(log (exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
220.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	386	677
1	1396	626
2	5001	619

prune286.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))))
0.0b	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
0.0b	(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
14.6b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`log-pow`
10×	`difference-of-squares`
6×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`log-prod` `flip3--` `flip--` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `fma-udef` `rem-exp-log`

Counts

4 → 105

Calls

4 calls:

7.0ms	(log (exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))))
1.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
6.0ms	(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
5.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(log (exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))))
86.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
188.0ms	(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
97.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

simplify156.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	321	1248
1	1049	1150
2	4918	1144
3	5001	1144

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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	11	7
1	11	7

end0.0ms

sample283.0ms

Algorithm

intervals

Results

192.0ms

8000×

body

valid