Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite101.0ms

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:

13.0ms	(/ x (+ x 1.0))
73.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
11.0ms	(/ 1.0 (- x 1.0))

series166.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (+ x 1.0))
107.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
26.0ms	(/ 1.0 (- x 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

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

localize9.0ms

Local error

Found 4 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))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
66×	`times-frac`
49×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
25×	`distribute-lft-out`
21×	`fma-def`
13×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
7×	`difference-of-squares`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `frac-add` `clear-num` `flip--`
1×	`+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `sum-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 152

Calls

4 calls:

11.0ms	(/ x (+ x 1.0))
72.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
11.0ms	(/ 1.0 (- x 1.0))
112.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series320.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ x (+ x 1.0))
106.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
27.0ms	(/ 1.0 (- x 1.0))
157.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify70.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	540	885
1	2392	833
2	5002	827

prune352.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (cbrt (pow (/ x (+ x 1.0)) 3))) 3)
0.0b	(pow (/ x (+ x 1.0)) 3)
18.9b	(cbrt (pow (/ x (+ x 1.0)) 3))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`times-frac`
59×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
42×	`cbrt-prod`
40×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out`
10×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `cube-div` `pow-unpow`
5×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cube-mult` `unpow3` `pow-exp` `associate-/l*` `rem-cube-cbrt` `sqr-pow`
2×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `pow-pow` `div-exp`
1×	`flip3--` `frac-2neg` `pow1/3` `frac-add` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 181

Calls

4 calls:

11.0ms	(/ 1.0 (- x 1.0))
202.0ms	(pow (+ (/ 1.0 (- x 1.0)) (cbrt (pow (/ x (+ x 1.0)) 3))) 3)
13.0ms	(pow (/ x (+ x 1.0)) 3)
13.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))

series299.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (- x 1.0))
178.0ms	(pow (+ (/ 1.0 (- x 1.0)) (cbrt (pow (/ x (+ x 1.0)) 3))) 3)
48.0ms	(pow (/ x (+ x 1.0)) 3)
45.0ms	(cbrt (pow (/ x (+ x 1.0)) 3))

simplify100.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	792	1321
1	3665	1128
2	5001	1116

prune393.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample315.0ms

Algorithm

intervals

Results

191.0ms

8000×

body

valid