Details

sample23.0ms

Algorithm

intervals

Results

17.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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:

42.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))
37.0ms	(/ x (+ x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (34.0ms)

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

prune224.0ms

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
58×	`times-frac`
47×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
21×	`fma-def`
18×	`distribute-lft-out`
11×	`distribute-lft-out--`
9×	`associate-/r*` `add-log-exp`
8×	`add-exp-log` `exp-prod` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `rem-exp-log`
1×	`+-commutative` `exp-sum` `frac-add`

Counts

4 → 134

Calls

4 calls:

130.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
44.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ x (+ x 1.0))

series402.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
118.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
27.0ms	(/ 1.0 (- x 1.0))
37.0ms	(/ x (+ x 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	465	687
1	1738	648
2	5002	639

prune320.0ms

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	(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	(* (- x 1.0) x)
13.4b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

14.0ms	(exp (/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0))))
0.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
10.0ms	(* (- x 1.0) x)
5.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(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))
39.0ms	(* (- x 1.0) x)
98.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (- (* x x) (* 1.0 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	361	976
1	1338	896
2	5001	896

prune293.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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

sample637.0ms

Algorithm

intervals

Results

539.0ms

8000×

body

valid