Details

sample69.0ms

Algorithm

intervals

Results

32.0ms

519×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
3	54
2	42
1	24
0	11

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
5.2b	(/ x (/ (* y y) x))
9.1b	(/ (* y y) x)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
62×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-cbrt-cube` `add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1` `cbrt-undiv` `div-exp`
10×	`associate-/r*` `div-inv`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-/l*` `unswap-sqr`
3×	`frac-add`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `pow-prod-down` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+`

Counts

4 → 150

Calls

4 calls:

49.0ms	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
35.0ms	(* (/ z t) (/ z t))
16.0ms	(/ x (/ (* y y) x))
15.0ms	(/ (* y y) x)

series260.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (/ x (/ (* y y) x)) (* (/ z t) (/ z t)))
51.0ms	(* (/ z t) (/ z t))
50.0ms	(/ x (/ (* y y) x))
38.0ms	(/ (* y y) x)

simplify401.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
1	809
0	244

prune931.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
0.2b	(/ (/ x y) (/ y x))
0.3b	(* (/ z t) (/ z t))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
239×	`add-sqr-sqrt`
227×	`*-un-lft-identity` `add-cube-cbrt`
33×	`div-inv`
27×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `swap-sqr` `associate-r` `associate-l` `associate-/l`
12×	`cbrt-undiv` `div-exp`
10×	`pow1`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `associate-/l/`

Counts

3 → 296

Calls

3 calls:

108.0ms	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
16.0ms	(/ (/ x y) (/ y x))
36.0ms	(* (/ z t) (/ z t))

series248.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (/ (/ x y) (/ y x)) (* (/ z t) (/ z t)))
36.0ms	(/ (/ x y) (/ y x))
50.0ms	(* (/ z t) (/ z t))

simplify1.1s

Counts

305 → 305

Iterations

Iter	Nodes
done	5000
1	1968
0	553

prune1.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ y x) (/ x y))) (* (/ z t) (/ z t)))
0.2b	(/ (/ y x) (/ x y))
0.3b	(* (/ z t) (/ z t))
0.6b	(/ 1 (/ (/ y x) (/ x y)))

rewrite655.0ms

Algorithm

rewrite-expression-head

Rules

2595×	`times-frac`
1147×	`add-sqr-sqrt`
1135×	`*-un-lft-identity` `add-cube-cbrt`
187×	`associate-/r*`
142×	`div-inv`
72×	`add-exp-log`
46×	`add-cbrt-cube` `div-exp`
25×	`cbrt-undiv`
16×	`associate-/l*`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`rec-exp` `1-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`frac-add`
2×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 1028

Calls

4 calls:

415.0ms	(+ (/ 1 (/ (/ y x) (/ x y))) (* (/ z t) (/ z t)))
14.0ms	(/ (/ y x) (/ x y))
36.0ms	(* (/ z t) (/ z t))
48.0ms	(/ 1 (/ (/ y x) (/ x y)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (/ 1 (/ (/ y x) (/ x y))) (* (/ z t) (/ z t)))
48.0ms	(/ (/ y x) (/ x y))
51.0ms	(* (/ z t) (/ z t))
72.0ms	(/ 1 (/ (/ y x) (/ x y)))

simplify1.2s

Counts

1040 → 1040

Iterations

Iter	Nodes
done	5000
0	1542

prune7.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
17.3b	(cbrt (* (/ z t) (/ z t)))
17.3b	(cbrt (* (/ z t) (/ z t)))
17.3b	(cbrt (* (/ z t) (/ z t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-l/` `associate-r/`
12×	`add-sqr-sqrt`
11×	`cbrt-prod` `pow1`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

31.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
12.0ms	(cbrt (* (/ z t) (/ z t)))
12.0ms	(cbrt (* (/ z t) (/ z t)))
13.0ms	(cbrt (* (/ z t) (/ z t)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
143.0ms	(cbrt (* (/ z t) (/ z t)))
133.0ms	(cbrt (* (/ z t) (/ z t)))
124.0ms	(cbrt (* (/ z t) (/ z t)))

simplify8.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	4812
2	685
1	224
0	112

prune476.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes541.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s

15653×

body

valid