Details

sample76.0ms

Algorithm

intervals

Results

18.0ms	286×	body	80	nan
18.0ms	271×	body	80	valid

simplify11.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

11.0ms	(+ x (* y (sqrt z)))
20.0ms	(* y (sqrt z))

series123.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ x (* y (sqrt z)))
66.0ms	(* y (sqrt z))

simplify69.0ms

Counts: 39 → 39

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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)))

rewrite79.0ms

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:

4.0ms	(sqrt (sqrt z))
4.0ms	(sqrt (sqrt z))
18.0ms	(* y (sqrt (sqrt z)))
49.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(sqrt (sqrt z))
172.0ms	(sqrt (sqrt z))
108.0ms	(* y (sqrt (sqrt z)))
61.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify92.0ms

Counts: 100 → 100

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

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))

rewrite100.0ms

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:

7.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
15.0ms	(* y (sqrt (sqrt z)))
69.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series684.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(pow (/ 1 z) -1/4)
188.0ms	(sqrt (sqrt z))
129.0ms	(* y (sqrt (sqrt z)))
108.0ms	(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify65.0ms

Counts: 129 → 129

prune500.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

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:

2.0ms	(sqrt (sqrt z))
14.0ms	(* y (sqrt (sqrt z)))
50.0ms	(* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4))
153.0ms	(* (* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))

series556.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(sqrt (sqrt z))
101.0ms	(* y (sqrt (sqrt z)))
146.0ms	(* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4))
83.0ms	(* (* (* y (sqrt (sqrt z))) (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))

simplify104.0ms

Counts: 147 → 147

prune592.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

918.0ms	8480×	body	80	valid
519.0ms	8552×	body	80	nan