Details

sample52.0ms

Algorithm

intervals

Results

19.0ms

272×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	84	11
4	198	11
5	574	11
6	1811	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
5.5b	(/ x (* (- y z) (- y t)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 85

Calls

2 calls:

85.0ms	(* (- y z) (- y t))
38.0ms	(/ x (* (- y z) (- y t)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (- y z) (- y t))
138.0ms	(/ x (* (- y z) (- y t)))

simplify2.4s

Counts

91 → 91

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	177	1460
1	436	1278
2	2526	1098
done	5000	1074

prune578.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.5b	(/ 1 (/ (* (- y z) (- y t)) x))
5.5b	(/ (* (- y z) (- y t)) x)

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`times-frac`
35×	`add-cube-cbrt`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-/r*`
8×	`frac-times` `associate-/l/`
7×	`cbrt-undiv`
6×	`pow1` `div-inv`
5×	`associate-r` `associate-l` `prod-exp`
4×	`associate-r/` `associate-l/` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

3 → 143

Calls

3 calls:

70.0ms	(* (- y z) (- y t))
45.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
74.0ms	(/ (* (- y z) (- y t)) x)

series374.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- y z) (- y t))
246.0ms	(/ 1 (/ (* (- y z) (- y t)) x))
79.0ms	(/ (* (- y z) (- y t)) x)

simplify3.7s

Counts

152 → 152

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	255	2436
1	703	2112
2	4668	1864
done	5000	1863

prune716.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) (- y t))
0.5b	(/ 1 (* (* (- y z) (- y t)) (/ 1 x)))
5.6b	(* (* (- y z) (- y t)) (/ 1 x))

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-exp-log`
49×	`prod-exp`
36×	`frac-times`
35×	`add-cbrt-cube`
34×	`div-exp`
32×	`add-sqr-sqrt`
30×	`flip3--` `*-un-lft-identity` `flip--`
26×	`add-cube-cbrt` `associate-*l/`
18×	`associate-r` `prod-diff` `associate-/r/`
17×	`rec-exp` `1-exp`
16×	`pow1`
13×	`cbrt-unprod`
12×	`times-frac` `associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-undiv`
7×	`pow-prod-down`
6×	`associate-l`
3×	`expm1-log1p-u` `pow-flip` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`sub-neg` `un-div-inv` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/r*` `inv-pow` `unswap-sqr`

Counts

3 → 183

Calls

3 calls:

71.0ms	(* (- y z) (- y t))
173.0ms	(/ 1 (* (* (- y z) (- y t)) (/ 1 x)))
104.0ms	(* (* (- y z) (- y t)) (/ 1 x))

series430.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (- y z) (- y t))
270.0ms	(/ 1 (* (* (- y z) (- y t)) (/ 1 x)))
99.0ms	(* (* (- y z) (- y t)) (/ 1 x))

simplify740.0ms

Counts

192 → 192

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	302	3265
1	921	2716
done	5001	2344

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
25.4b	(cbrt (* (- y z) (- y t)))
25.4b	(cbrt (* (- y z) (- y t)))
25.4b	(cbrt (* (- y z) (- y t)))

rewrite651.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
728×	`associate-/r/`
644×	`associate-*l/`
572×	`associate-*r/`
13×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 810

Calls

4 calls:

264.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
20.0ms	(cbrt (* (- y z) (- y t)))
21.0ms	(cbrt (* (- y z) (- y t)))
33.0ms	(cbrt (* (- y z) (- y t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ x (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t)))))
394.0ms	(cbrt (* (- y z) (- y t)))
410.0ms	(cbrt (* (- y z) (- y t)))
400.0ms	(cbrt (* (- y z) (- y t)))

simplify2.8s

Counts

822 → 822

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	1663	33984
1	3609	33904
done	5000	33168

prune14.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes523.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	15	13
done	15	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

642.0ms

8459×

body

valid