Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	275×	body	80	valid
7.0ms	266×	body	80	nan

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* y (sqrt z)))
45.0ms	(* y (sqrt z))

simplify132.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	161
3	5002	161

prune97.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
22.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(sqrt (sqrt z))
150.0ms	(sqrt (sqrt z))
90.0ms	(* y (sqrt (sqrt z)))
46.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune255.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
22×	`sqrt-prod`
19×	`prod-exp`
18×	`times-frac`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv` `sqr-pow`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 117

Calls

4 calls:

4.0ms	(pow (/ 1 z) -1/4)
1.0ms	(sqrt (sqrt z))
11.0ms	(* y (sqrt (sqrt z)))
24.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series528.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(pow (/ 1 z) -1/4)
144.0ms	(sqrt (sqrt z))
90.0ms	(* y (sqrt (sqrt z)))
99.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify83.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	621	768
1	2847	693
2	5001	691

prune348.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (sqrt z)))
0.2b	(* y (sqrt (sqrt (sqrt z))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (pow (/ 1 z) -1/4))
0.4b	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
63×	`sqrt-prod`
41×	`associate-r`
40×	`prod-exp`
35×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`pow1`
13×	`unpow-prod-down`
12×	`pow-exp`
10×	`cbrt-unprod`
9×	`sqrt-pow1` `times-frac`
6×	`div-exp`
5×	`associate-l`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `rem-sqrt-square` `rec-exp` `pow1/2` `1-exp` `*-commutative`
1×	`div-inv` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

2.0ms	(sqrt (sqrt (sqrt z)))
10.0ms	(* y (sqrt (sqrt (sqrt z))))
102.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (pow (/ 1 z) -1/4))
28.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(sqrt (sqrt (sqrt z)))
104.0ms	(* y (sqrt (sqrt (sqrt z))))
101.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (pow (/ 1 z) -1/4))
90.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify102.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	704	1179
1	3383	932
2	5001	932

prune360.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample808.0ms

Algorithm

intervals

Results

246.0ms	8535×	body	80	valid
223.0ms	8337×	body	80	nan