Details

sample52.0ms

Algorithm

intervals

Results

26.0ms

272×

body

valid

simplify4.9s

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: 6.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite292.0ms

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:

16.0ms	(- (* t z) x)
57.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
165.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
47.0ms	(/ (- (* y z) x) (- (* t z) x))

series415.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* t z) x)
116.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
175.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
91.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify3.3s

Counts

125 → 125

Iterations

Useful iterations: 3 (1.6s)

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

prune470.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
3.4b	(fma (/ y (- (* t z) x)) z x)
3.4b	(/ x (- (* t z) x))
3.6b	(/ y (- (* t z) x))

rewrite71.0ms

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:

19.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
0.0ms	(fma (/ y (- (* t z) x)) z x)
21.0ms	(/ x (- (* t z) x))
28.0ms	(/ y (- (* t z) x))

series365.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
74.0ms	(fma (/ y (- (* t z) x)) z x)
97.0ms	(/ x (- (* t z) x))
43.0ms	(/ y (- (* t z) x))

simplify2.1s

Counts

119 → 119

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	184	1793
1	386	1754
2	965	1613
3	2150	1613
done	5000	1607

prune537.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* t z) x))
3.3b	(* x (/ 1 (- (* t z) x)))
3.4b	(fma (/ y (- (* t z) x)) z x)
3.6b	(/ y (- (* t z) x))

rewrite98.0ms

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:

18.0ms	(/ 1 (- (* t z) x))
49.0ms	(* x (/ 1 (- (* t z) x)))
1.0ms	(fma (/ y (- (* t z) x)) z x)
26.0ms	(/ y (- (* t z) x))

series230.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (- (* t z) x))
80.0ms	(* x (/ 1 (- (* t z) x)))
81.0ms	(fma (/ y (- (* t z) x)) z x)
40.0ms	(/ y (- (* t z) x))

simplify2.6s

Counts

128 → 128

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	160	1485
1	348	1328
2	779	1193
3	1788	1193
done	5000	1189

prune538.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

3.4b	(/ x (- (* t z) x))
3.6b	(/ y (- (* t z) x))
3.6b	(/ y (- (* t z) x))
3.6b	(/ y (- (* t z) x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
12×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 124

Calls

4 calls:

14.0ms	(/ x (- (* t z) x))
14.0ms	(/ y (- (* t z) x))
21.0ms	(/ y (- (* t z) x))
21.0ms	(/ y (- (* t z) x))

series201.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ x (- (* t z) x))
37.0ms	(/ y (- (* t z) x))
58.0ms	(/ y (- (* t z) x))
39.0ms	(/ y (- (* t z) x))

simplify2.6s

Counts

136 → 136

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	103	1576
1	207	1538
2	502	1424
3	1017	1424
4	2467	1418
done	5002	1418

prune817.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes230.0ms

Accuracy

29.5% (3.1b remaining)

Error of 3.5b against oracle of 0.4b and baseline of 4.8b

bsearch152.0ms

Steps

Iters	Range		Point
9	4.863564902743035e+100	5.86912954660432e+106	3.0678918401680893e+102
5	-5.278031834180875e+72	-2.1107077928971596e+72	-3.2224235875553088e+72

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	45
1	35	37
done	35	37

end0.0ms

sample1.3s

Algorithm

intervals

Results

846.0ms

8321×

body

valid