Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

320×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
9.0b	(/ (* x (+ (- y z) 1.0)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

9.0ms	(* x (+ (- y z) 1.0))
10.0ms	(/ (* x (+ (- y z) 1.0)) z)

series83.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (+ (- y z) 1.0))
43.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	262	303
1	1268	253
2	5002	253

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.7b	(/ x (/ z (+ (- y z) 1.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

8.0ms	(/ z (+ (- y z) 1.0))
11.0ms	(/ x (/ z (+ (- y z) 1.0)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ z (+ (- y z) 1.0))
53.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	463	1195
1	2143	1142
2	5001	1140

prune299.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
0.2b	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
2.6b	(/ (/ z (+ (- y z) 1.0)) x)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
595×	`*-un-lft-identity`
335×	`add-sqr-sqrt` `add-cube-cbrt`
104×	`distribute-lft-out`
75×	`associate-/r*`
52×	`distribute-lft-out--`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 441

Calls

3 calls:

8.0ms	(/ z (+ (- y z) 1.0))
21.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
13.0ms	(/ (/ z (+ (- y z) 1.0)) x)

series154.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ z (+ (- y z) 1.0))
44.0ms	(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
62.0ms	(/ (/ z (+ (- y z) 1.0)) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

450 → 450

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1285	4886
1	5001	4399

prune811.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
0.1b	(/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0)))
3.0b	(* (/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0))) (* (cbrt 1) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
102×	`times-frac`
58×	`add-exp-log`
41×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
26×	`associate-l` `associate-/r*` `distribute-lft-out`
21×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
13×	`distribute-lft-out--`
10×	`associate-/r/`
8×	`pow1`
6×	`div-inv`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-r` `associate-l/` `-commutative`

Counts

3 → 163

Calls

3 calls:

8.0ms	(/ z (+ (- y z) 1.0))
14.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0)))
18.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0))) (* (cbrt 1) x))

series126.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ z (+ (- y z) 1.0))
29.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0)))
40.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (/ z (+ (- y z) 1.0))) (* (cbrt 1) x))

simplify103.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	647	1645
1	3436	1375
2	5002	1142

prune359.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

67% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch80.0ms

Steps

Iters	Range		Point
7	5.743200825373981e-224	1.4433187213430084e-221	2.125153105609533e-223
8	-2.1653087995485248e-188	-7.134562177746981e-193	-6.646625143676237e-189

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	15
1	33	15

end0.0ms

sample459.0ms

Algorithm

intervals

Results

255.0ms

10124×

body

valid