Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	307×	body	80	nan
7.0ms	272×	body	80	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(* y (sqrt z))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

4.0ms

(* y (sqrt z))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* y (sqrt z))

simplify91.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	148	113
1	603	100
2	2850	94
3	5001	94

prune57.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite30.0ms

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))
6.0ms	(* y (sqrt (sqrt z)))
19.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt z))
132.0ms	(sqrt (sqrt z))
77.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

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

prune220.0ms

Filtered

100 candidates to 60 candidates (60.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ 1 z) -1/4)
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite41.0ms

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))
9.0ms	(* y (sqrt (sqrt z)))
23.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series476.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(pow (/ 1 z) -1/4)
130.0ms	(sqrt (sqrt z))
79.0ms	(* y (sqrt (sqrt z)))
84.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify75.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (65.0ms)

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

prune314.0ms

Filtered

129 candidates to 75 candidates (58.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))
0.4b	(* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
49×	`associate-r`
48×	`sqrt-prod`
36×	`add-sqr-sqrt`
32×	`unpow-prod-down`
28×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
15×	`pow-to-exp` `pow-exp`
10×	`cbrt-unprod`
8×	`pow1`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `div-inv` `sqr-pow`
1×	`pow-prod-down`

Counts

4 → 135

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
79.0ms	(* (* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))
26.0ms	(* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4))

series437.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt z))
83.0ms	(* y (sqrt (sqrt z)))
75.0ms	(* (* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))
139.0ms	(* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4))

simplify91.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	736	1379
1	3753	1139
2	5001	1139

prune367.0ms

Filtered

147 candidates to 81 candidates (55.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample797.0ms

Algorithm

intervals

Results

237.0ms	8521×	body	80	valid
225.0ms	8490×	body	80	nan