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))

rewrite9.0ms

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` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	205	309
1	681	292
2	2801	286
3	5002	286

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.1b	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

8.0ms	(/ (+ x 1.0) (- 1.0 x))
10.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
10.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series123.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (+ x 1.0) (- 1.0 x))
31.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
57.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify71.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	552	1474
1	2447	1371
2	5002	1351

prune237.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

276×	`*-un-lft-identity`
170×	`times-frac`
153×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
62×	`cbrt-prod`
55×	`associate-r`
48×	`swap-sqr` `distribute-lft-out`
40×	`distribute-lft-out--`
30×	`associate-l`
28×	`difference-of-squares`
18×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`cbrt-div`
13×	`pow1`
12×	`associate-/r/`
10×	`unswap-sqr`
7×	`frac-times` `associate-*l/`
6×	`flip3--` `flip--` `div-inv`
5×	`associate-*r/` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `pow1/3` `div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`*-commutative`
1×	`pow2` `pow-plus` `pow3` `pow-sqr` `pow-prod-up`

Counts

4 → 234

Calls

4 calls:

14.0ms	(* (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
26.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
14.0ms	(cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))))
7.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
56.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
161.0ms	(cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))))
137.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify110.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	814	2873
1	3596	2673
2	5002	2556

prune460.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.1b	(* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
17.1b	(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `difference-of-squares`
5×	`pow1` `add-log-exp`
4×	`associate-r` `associate-/r` `associate-/r/` `associate-/l`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 101

Calls

3 calls:

3.0ms	(- (* 1.0 1.0) (* x x))
14.0ms	(* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
7.0ms	(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* 1.0 1.0) (* x x))
47.0ms	(* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
34.0ms	(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	513	927
1	2237	816
2	5001	712

prune189.0ms

Pruning

3 alts after pruning (0 fresh and 3 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	9	5
1	9	5

end0.0ms

sample207.0ms

Algorithm

intervals

Results

126.0ms

8000×

body

valid