Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	279×	body	80	valid
9.0ms	253×	body	80	nan

simplify15.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* y (sqrt z))

rewrite7.0ms

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))

series76.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (* y (sqrt z)))
40.0ms	(* y (sqrt z))

simplify130.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (36.0ms)

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

prune88.0ms

Pruning

7 alts after pruning (6 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))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite31.0ms

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)))
20.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (sqrt z))
136.0ms	(sqrt (sqrt z))
78.0ms	(* y (sqrt (sqrt z)))
40.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (37.0ms)

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

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))

rewrite42.0ms

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))
7.0ms	(* y (sqrt (sqrt z)))
27.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series495.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(pow (/ 1 z) -1/4)
139.0ms	(sqrt (sqrt z))
84.0ms	(* y (sqrt (sqrt z)))
87.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify77.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (67.0ms)

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

prune325.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

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)) (pow (/ 1 z) -1/4)))
0.5b	(* (sqrt (sqrt z)) (pow (/ 1 z) -1/4))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

4.0ms	(pow (/ 1 z) -1/4)
1.0ms	(sqrt (sqrt z))
21.0ms	(* y (* (sqrt (sqrt z)) (pow (/ 1 z) -1/4)))
20.0ms	(* (sqrt (sqrt z)) (pow (/ 1 z) -1/4))

series468.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(pow (/ 1 z) -1/4)
143.0ms	(sqrt (sqrt z))
82.0ms	(* y (* (sqrt (sqrt z)) (pow (/ 1 z) -1/4)))
63.0ms	(* (sqrt (sqrt z)) (pow (/ 1 z) -1/4))

simplify66.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	627	1031
1	2448	939
2	5001	936

prune462.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes197.0ms

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

sample874.0ms

Algorithm

intervals

Results

252.0ms	8536×	body	80	valid
242.0ms	8655×	body	80	nan