Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

271×

body

valid

simplify71.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
8.0b	(/ x (* (- y z) (- y t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

46.0ms	(* (- y z) (- y t))
33.0ms	(/ x (* (- y z) (- y t)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- y z) (- y t))
93.0ms	(/ x (* (- y z) (- y t)))

simplify43.0ms

Counts: 69 → 69

prune210.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.0b	(/ x (- y t))
1.3b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

17.0ms	(/ 1 (- y z))
18.0ms	(/ x (- y t))
67.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1 (- y z))
41.0ms	(/ x (- y t))
186.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify52.0ms

Counts: 159 → 159

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (* y y) (* z z))
5.3b	(/ x (* (- (* y y) (* z z)) (- (* y y) (* t t))))
5.4b	(* (- (* y y) (* z z)) (- (* y y) (* t t)))
36.5b	(* (/ x (* (- (* y y) (* z z)) (- (* y y) (* t t)))) (* (+ y z) (+ y t)))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
28×	`frac-times`
19×	`flip3--` `associate-l` `flip--`
18×	`associate-*r/`
16×	`associate-/r/`
13×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `flip3-+` `flip-+`
11×	`pow1` `associate-*l/`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `times-frac` `div-exp` `add-log-exp`
5×	`associate-r`
4×	`pow-prod-down`
3×	`sub-neg` `associate-/l*` `difference-of-squares`
2×	`*-commutative` `div-inv`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

12.0ms	(- (* y y) (* z z))
35.0ms	(/ x (* (- (* y y) (* z z)) (- (* y y) (* t t))))
62.0ms	(* (- (* y y) (* z z)) (- (* y y) (* t t)))
468.0ms	(* (/ x (* (- (* y y) (* z z)) (- (* y y) (* t t)))) (* (+ y z) (+ y t)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* y y) (* z z))
125.0ms	(/ x (* (- (* y y) (* z z)) (- (* y y) (* t t))))
94.0ms	(* (- (* y y) (* z z)) (- (* y y) (* t t)))
195.0ms	(* (/ x (* (- (* y y) (* z z)) (- (* y y) (* t t)))) (* (+ y z) (+ y t)))

simplify49.0ms

Counts: 145 → 145

prune547.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sqrt x) (- y t))
0.1b	(/ (sqrt x) (- y z))
0.1b	(* (/ (sqrt x) (- y z)) (/ (sqrt x) (- y t)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
132×	`times-frac`
127×	`*-un-lft-identity`
75×	`add-cube-cbrt`
72×	`sqrt-prod`
36×	`associate-r` `associate-l`
26×	`distribute-lft-out--` `difference-of-squares`
19×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
10×	`associate-/r*`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 211

Calls

3 calls:

12.0ms	(/ (sqrt x) (- y t))
13.0ms	(/ (sqrt x) (- y z))
84.0ms	(* (/ (sqrt x) (- y z)) (/ (sqrt x) (- y t)))

series257.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (sqrt x) (- y t))
74.0ms	(/ (sqrt x) (- y z))
89.0ms	(* (/ (sqrt x) (- y z)) (/ (sqrt x) (- y t)))

simplify73.0ms

Counts: 220 → 220

prune625.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify58.0ms

end0.0ms

sample822.0ms

Algorithm

intervals

Results

394.0ms

8436×

body

valid