Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

275×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1914
8	811
7	428
6	259
5	148
4	96
3	60
2	35
1	17
0	10

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- y z) (/ t (- a z))) x)
0.0b	(/ t (- a z))
9.5b	(* (- y z) (/ t (- a z)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-l*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

28.0ms	(+ (* (- y z) (/ t (- a z))) x)
17.0ms	(/ t (- a z))
51.0ms	(* (- y z) (/ t (- a z)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (* (- y z) (/ t (- a z))) x)
44.0ms	(/ t (- a z))
87.0ms	(* (- y z) (/ t (- a z)))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1916
1	389
0	154

prune629.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- y z) (/ 1 (/ (- a z) t))) x)
0.0b	(/ (- a z) t)
0.5b	(/ 1 (/ (- a z) t))
9.5b	(* (- y z) (/ 1 (/ (- a z) t)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
184×	`add-sqr-sqrt`
172×	`*-un-lft-identity`
118×	`add-cube-cbrt`
62×	`associate-r`
36×	`add-exp-log`
26×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
20×	`add-cbrt-cube`
15×	`div-exp`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`flip3--` `cbrt-unprod` `flip--`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 246

Calls

4 calls:

32.0ms	(+ (* (- y z) (/ 1 (/ (- a z) t))) x)
13.0ms	(/ (- a z) t)
13.0ms	(/ 1 (/ (- a z) t))
101.0ms	(* (- y z) (/ 1 (/ (- a z) t)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (* (- y z) (/ 1 (/ (- a z) t))) x)
34.0ms	(/ (- a z) t)
106.0ms	(/ 1 (/ (- a z) t))
149.0ms	(* (- y z) (/ 1 (/ (- a z) t)))

simplify537.0ms

Counts

258 → 258

Iterations

Iter	Nodes
done	5001
1	910
0	314

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- y z) (- a z)) t) x)
0.0b	(/ (- y z) (- a z))
1.8b	(* (/ (- y z) (- a z)) t)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `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 → 113

Calls

3 calls:

16.0ms	(+ (* (/ (- y z) (- a z)) t) x)
33.0ms	(/ (- y z) (- a z))
55.0ms	(* (/ (- y z) (- a z)) t)

series360.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ (* (/ (- y z) (- a z)) t) x)
74.0ms	(/ (- y z) (- a z))
134.0ms	(* (/ (- y z) (- a z)) t)

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1702
1	444
0	167

prune739.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
9.5b	(* (- y z) (* (* (cbrt t) (cbrt t)) (* (/ 1 (- a z)) (cbrt t))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
34×	`prod-exp`
23×	`add-cbrt-cube`
22×	`pow1`
20×	`cbrt-unprod`
13×	`pow-prod-down`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
5×	`associate-l` `associate-*l/`
4×	`div-exp` `associate-*r/` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
266.0ms	(* (- y z) (* (* (cbrt t) (cbrt t)) (* (/ 1 (- a z)) (cbrt t))))

series962.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt t)
297.0ms	(cbrt t)
287.0ms	(cbrt t)
137.0ms	(* (- y z) (* (* (cbrt t) (cbrt t)) (* (/ 1 (- a z)) (cbrt t))))

simplify1.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	2449
1	416
0	137

prune470.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes427.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

672.0ms	8749×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid