Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

341×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	1978
7	763
6	513
5	402
4	272
3	166
2	76
1	27
0	9

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ x z) (+ z 1.0))
3.7b	(* (/ y z) (/ (/ x z) (+ z 1.0)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
154×	`*-un-lft-identity`
121×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
58×	`associate-r`
28×	`add-cbrt-cube` `add-exp-log`
27×	`distribute-lft-out`
13×	`associate-l` `associate-/l*`
12×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`pow1` `associate-/r*` `associate-/r/`
2×	`flip3-+` `flip-+` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

2 → 187

Calls

2 calls:

27.0ms	(/ (/ x z) (+ z 1.0))
94.0ms	(* (/ y z) (/ (/ x z) (+ z 1.0)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (/ x z) (+ z 1.0))
104.0ms	(* (/ y z) (/ (/ x z) (+ z 1.0)))

simplify927.0ms

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
1	963
0	299

prune894.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (* (/ x z) (/ y z)) (+ z 1.0))
3.2b	(* (/ x z) (/ y z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-cbrt-cube` `add-exp-log`
30×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `unswap-sqr`
3×	`div-inv` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `associate-/r/` `distribute-lft-out` `add-log-exp`
1×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `associate-/l`

Counts

2 → 84

Calls

2 calls:

32.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
28.0ms	(* (/ x z) (/ y z))

series116.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
53.0ms	(* (/ x z) (/ y z))

simplify2.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	3909
1	541
0	172

prune572.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ 1.0 z))
0.1b	(* (* (/ x z) (/ y z)) (/ 1 (+ 1.0 z)))
3.2b	(* (/ x z) (/ y z))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-exp-log`
58×	`add-cbrt-cube`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `times-frac`
40×	`prod-exp`
34×	`add-cube-cbrt`
32×	`div-exp`
31×	`associate-r`
22×	`cbrt-unprod`
18×	`cbrt-undiv`
14×	`associate-l`
11×	`pow1`
7×	`distribute-lft-out`
6×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
4×	`associate-/r` `pow-prod-down` `associate-r/` `associate-/r/` `div-inv` `unswap-sqr`
3×	`associate-/l*` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`clear-num` `frac-2neg` `un-div-inv` `pow-flip` `inv-pow`

Counts

3 → 154

Calls

3 calls:

18.0ms	(/ 1 (+ 1.0 z))
88.0ms	(* (* (/ x z) (/ y z)) (/ 1 (+ 1.0 z)))
21.0ms	(* (/ x z) (/ y z))

series139.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1 (+ 1.0 z))
79.0ms	(* (* (/ x z) (/ y z)) (/ 1 (+ 1.0 z)))
34.0ms	(* (/ x z) (/ y z))

simplify527.0ms

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
1	810
0	247

prune648.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ z 1.0))
0.4b	(cbrt (+ z 1.0))
2.3b	(* (* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0)))) (/ (/ 1 z) (cbrt (+ z 1.0))))
4.5b	(* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0))))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

357×	`times-frac`
234×	`*-un-lft-identity`
230×	`add-sqr-sqrt`
205×	`add-exp-log`
172×	`add-cube-cbrt`
135×	`cbrt-prod`
124×	`associate-r`
98×	`associate-l`
96×	`div-exp`
91×	`add-cbrt-cube`
71×	`prod-exp`
57×	`cbrt-undiv`
45×	`cbrt-unprod`
31×	`distribute-lft-out`
17×	`div-inv`
15×	`unswap-sqr`
11×	`pow1`
10×	`cbrt-div`
7×	`rec-exp` `1-exp`
6×	`frac-times` `associate-*l/` `associate-/r/`
5×	`flip3-+` `flip-+`
4×	`pow-prod-down` `associate-*r/` `add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 362

Calls

4 calls:

3.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))
199.0ms	(* (* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0)))) (/ (/ 1 z) (cbrt (+ z 1.0))))
130.0ms	(* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ z 1.0))
145.0ms	(cbrt (+ z 1.0))
67.0ms	(* (* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0)))) (/ (/ 1 z) (cbrt (+ z 1.0))))
316.0ms	(* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0))))

simplify1.1s

Counts

374 → 374

Iterations

Iter	Nodes
done	5001
1	2193
0	608

prune2.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes257.0ms

Accuracy

2.8% (2.4b remaining)

Error of 2.8b against oracle of 0.3b and baseline of 2.9b

bsearch106.0ms

Steps

Iters	Range		Point
9	1.805639974384451e-278	5.937088806507183e-272	2.4027272005758202e-272
8	-1.270786790029921e-167	-1.4506435989179078e-171	-7.665174777463242e-170

simplify4.0ms

Iterations

Iter	Nodes
done	31
2	31
1	30
0	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

788.0ms

10716×

body

valid