Details

sample20.0ms

Algorithm

intervals

Results

14.0ms

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

localize10.0ms

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))

rewrite60.0ms

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))
44.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms	(/ 1.0 (- x 1.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ x (+ x 1.0))
117.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
31.0ms	(/ 1.0 (- x 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (35.0ms)

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

prune235.0ms

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	(- (* x x) (* 1.0 1.0))
0.0b	(* (- x 1.0) x)
0.0b	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
15.6b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp` `difference-of-squares`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`flip3--` `associate-r` `flip--` `associate-/l*`
2×	`associate-*l/` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* x x) (* 1.0 1.0))
10.0ms	(* (- x 1.0) x)
0.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
6.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x x) (* 1.0 1.0))
37.0ms	(* (- x 1.0) x)
86.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
97.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	317	741
1	1210	669
2	5002	668

prune211.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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	9	5
1	9	5

end0.0ms

sample538.0ms

Algorithm

intervals

Results

439.0ms

8000×

body

valid