Details

sample59.0ms

Algorithm

intervals

Results

37.0ms

265×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	114	17
5	201	17
6	403	17
7	946	17
8	2515	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `fma-def` `flip3-+` `prod-diff` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `fma-neg` `diff-log` `sum-log`

Counts

4 → 113

Calls

4 calls:

19.0ms	(- (* t z) x)
82.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
193.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
68.0ms	(/ (- (* y z) x) (- (* t z) x))

series1.0s

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* t z) x)
634.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
211.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
117.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify3.3s

Counts

125 → 125

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	182	2295
1	454	2174
2	1308	2039
3	4498	2030
done	5000	2030

prune486.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
2.4b	(fma (/ y (- (* t z) x)) z x)
3.4b	(/ y (- (* t z) x))
3.6b	(/ x (- (* t z) x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 107

Calls

4 calls:

20.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
26.0ms	(/ y (- (* t z) x))
25.0ms	(/ x (- (* t z) x))

series342.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
81.0ms	(fma (/ y (- (* t z) x)) z x)
44.0ms	(/ y (- (* t z) x))
73.0ms	(/ x (- (* t z) x))

simplify2.3s

Counts

119 → 119

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	184	1793
1	386	1754
2	968	1613
3	2140	1613
done	5000	1607

prune666.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* t z) x))
2.4b	(fma (/ y (- (* t z) x)) z x)
3.4b	(/ y (- (* t z) x))
3.6b	(* x (/ 1 (- (* t z) x)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/r/` `associate-/l`
5×	`div-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `associate-l` `flip--` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 116

Calls

4 calls:

27.0ms	(/ 1 (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)
14.0ms	(/ y (- (* t z) x))
49.0ms	(* x (/ 1 (- (* t z) x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1 (- (* t z) x))
79.0ms	(fma (/ y (- (* t z) x)) z x)
64.0ms	(/ y (- (* t z) x))
100.0ms	(* x (/ 1 (- (* t z) x)))

simplify2.4s

Counts

128 → 128

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	160	1485
1	348	1328
2	779	1193
3	1791	1193
done	5001	1189

prune593.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ y (- (* t z) x))
9.8b	(cbrt (- (* t z) x))
9.8b	(cbrt (- (* t z) x))
9.8b	(cbrt (- (* t z) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

18.0ms	(/ y (- (* t z) x))
7.0ms	(cbrt (- (* t z) x))
7.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))

series731.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ y (- (* t z) x))
201.0ms	(cbrt (- (* t z) x))
226.0ms	(cbrt (- (* t z) x))
239.0ms	(cbrt (- (* t z) x))

simplify2.6s

Counts

88 → 88

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	115	1060
1	250	1023
2	592	956
3	1398	926
4	3498	898
done	5002	892

prune611.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes274.0ms

Accuracy

30.1% (3.2b remaining)

Error of 3.4b against oracle of 0.2b and baseline of 4.7b

bsearch120.0ms

Steps

Iters	Range		Point
8	8.26536377327354e+83	4.022397810881141e+88	6.043915376694697e+86
6	-1.3306255153931195e+55	-1.1657095733161405e+54	-7.150582175885459e+54

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	45
1	34	37
done	34	37

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8302×

body

valid