Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

289×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4971
23	4719
22	4472
21	4219
20	3966
19	3718
18	3457
17	3189
16	2922
15	2654
14	2345
13	1967
12	1369
11	756
10	502
9	395
8	317
7	231
6	150
5	116
4	85
3	55
2	33
1	17
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
7.9b	(/ (* (- y z) t) (- a z))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
70×	`times-frac`
38×	`add-cube-cbrt`
35×	`associate-l`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-r`
14×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
7×	`*-commutative` `unswap-sqr`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 144

Calls

3 calls:

21.0ms	(* (- y z) t)
95.0ms	(+ x (/ (* (- y z) t) (- a z)))
99.0ms	(/ (* (- y z) t) (- a z))

series256.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (- y z) t)
117.0ms	(+ x (/ (* (- y z) t) (- a z)))
105.0ms	(/ (* (- y z) t) (- a z))

simplify1.5s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	1901
1	574
0	216

prune688.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ t (/ (- a z) (- y z))))
0.0b	(/ (- a z) (- y z))
2.4b	(/ t (/ (- a z) (- y z)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
203×	`*-un-lft-identity`
201×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `clear-num` `frac-2neg` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 223

Calls

3 calls:

79.0ms	(+ x (/ t (/ (- a z) (- y z))))
34.0ms	(/ (- a z) (- y z))
38.0ms	(/ t (/ (- a z) (- y z)))

series482.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ x (/ t (/ (- a z) (- y z))))
58.0ms	(/ (- a z) (- y z))
237.0ms	(/ t (/ (- a z) (- y z)))

simplify1.9s

Counts

232 → 232

Iterations

Iter	Nodes
done	5000
2	2785
1	809
0	307

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (- y z))
8.0ms	(cbrt (- a z))
8.0ms	(cbrt (- a z))
8.0ms	(cbrt (- a z))

series903.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (- y z))
218.0ms	(cbrt (- a z))
233.0ms	(cbrt (- a z))
234.0ms	(cbrt (- a z))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
4	2479
3	988
2	467
1	233
0	116

prune606.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* t (/ (- y z) (- a z))))
0.0b	(/ (- y z) (- a z))
2.4b	(* t (/ (- y z) (- a z)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
82×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
29×	`add-cube-cbrt`
25×	`distribute-lft-out--`
24×	`difference-of-squares`
15×	`associate-*r/`
12×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `flip--` `associate-/l/`
3×	`clear-num` `un-div-inv` `insert-posit16`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `*-commutative` `flip-+`

Counts

3 → 135

Calls

3 calls:

112.0ms	(+ x (* t (/ (- y z) (- a z))))
42.0ms	(/ (- y z) (- a z))
95.0ms	(* t (/ (- y z) (- a z)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (* t (/ (- y z) (- a z))))
53.0ms	(/ (- y z) (- a z))
84.0ms	(* t (/ (- y z) (- a z)))

simplify1.7s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	1511
1	489
0	178

prune673.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes570.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

880.0ms	8694×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid