Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

272×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4036
5	902
4	255
3	105
2	58
1	25
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (- t z)) a)
0.0b	(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
10.7b	(/ (- z y) (/ (+ 1.0 (- t z)) a))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
200×	`times-frac`
127×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
45×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3--` `associate-/r/` `associate-+l-` `flip--`

Counts

3 → 188

Calls

3 calls:

61.0ms	(/ (+ 1.0 (- t z)) a)
228.0ms	(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
71.0ms	(/ (- z y) (/ (+ 1.0 (- t z)) a))

series451.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (+ 1.0 (- t z)) a)
181.0ms	(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
215.0ms	(/ (- z y) (/ (+ 1.0 (- t z)) a))

simplify1.4s

Counts

197 → 197

Iterations

Iter	Nodes
done	5002
2	3802
1	778
0	254

prune971.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- z y) (- (+ t 1.0) z)) a) x)
0.0b	(/ (- z y) (- (+ t 1.0) z))
0.4b	(* (/ (- z y) (- (+ t 1.0) z)) a)

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
82×	`add-sqr-sqrt`
61×	`times-frac`
36×	`associate-l`
35×	`distribute-lft-out--`
29×	`add-cube-cbrt`
24×	`difference-of-squares`
11×	`distribute-lft-out`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
5×	`pow1` `associate-/l*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 124

Calls

3 calls:

26.0ms	(+ (* (/ (- z y) (- (+ t 1.0) z)) a) x)
51.0ms	(/ (- z y) (- (+ t 1.0) z))
146.0ms	(* (/ (- z y) (- (+ t 1.0) z)) a)

series427.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(+ (* (/ (- z y) (- (+ t 1.0) z)) a) x)
51.0ms	(/ (- z y) (- (+ t 1.0) z))
215.0ms	(* (/ (- z y) (- (+ t 1.0) z)) a)

simplify1.1s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2097
1	501
0	183

prune664.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
3.2b	(/ (* (cbrt (- z y)) a) (cbrt (- (+ t 1.0) z)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod` `*-un-lft-identity`
21×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`cbrt-div`
9×	`associate-/r*` `times-frac` `add-exp-log`
7×	`distribute-lft-out--`
6×	`add-cbrt-cube`
5×	`flip3--` `flip--` `difference-of-squares`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 82

Calls

4 calls:

3.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
3.0ms	(cbrt (- z y))
45.0ms	(/ (* (cbrt (- z y)) a) (cbrt (- (+ t 1.0) z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- z y))
185.0ms	(cbrt (- z y))
207.0ms	(cbrt (- z y))
781.0ms	(/ (* (cbrt (- z y)) a) (cbrt (- (+ t 1.0) z)))

simplify785.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1387
1	404
0	177

prune690.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z y) a)
0.0b	(+ (* (/ 1 (- (+ t 1.0) z)) (* (- z y) a)) x)
0.0b	(/ 1 (- (+ t 1.0) z))
9.8b	(* (/ 1 (- (+ t 1.0) z)) (* (- z y) a))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
36×	`times-frac`
32×	`add-exp-log`
29×	`associate-l`
27×	`add-cube-cbrt`
20×	`add-cbrt-cube`
15×	`distribute-lft-out--`
13×	`prod-exp`
12×	`pow1`
8×	`difference-of-squares`
7×	`associate-*l/` `cbrt-unprod` `distribute-lft-out`
6×	`associate-/r*` `div-exp` `add-log-exp`
5×	`flip3--` `flip--`
4×	`associate-r` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

18.0ms	(* (- z y) a)
51.0ms	(+ (* (/ 1 (- (+ t 1.0) z)) (* (- z y) a)) x)
46.0ms	(/ 1 (- (+ t 1.0) z))
135.0ms	(* (/ 1 (- (+ t 1.0) z)) (* (- z y) a))

series512.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- z y) a)
258.0ms	(+ (* (/ 1 (- (+ t 1.0) z)) (* (- z y) a)) x)
56.0ms	(/ 1 (- (+ t 1.0) z))
164.0ms	(* (/ 1 (- (+ t 1.0) z)) (* (- z y) a))

simplify2.1s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	3492
1	602
0	206

prune722.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes420.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	8476×	body	80	valid
0.0ms	1×	body	640	valid