Details

sample58.0ms

Algorithm

intervals

Results

25.0ms

266×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3253
7	1321
6	488
5	206
4	113
3	64
2	39
1	25
0	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite251.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`fma-def` `flip3-+` `flip3--` `prod-diff` `flip-+` `flip--`
2×	`cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `div-exp` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `fma-neg` `diff-log`

Counts

4 → 113

Calls

4 calls:

14.0ms	(- (* t z) x)
33.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
147.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
51.0ms	(/ (- (* y z) x) (- (* t z) x))

series498.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* t z) x)
135.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
221.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
100.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5002
2	1487
1	486
0	182

prune848.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.7b	(fma (/ y (- (* t z) x)) z x)
2.9b	(/ y (- (* t z) x))
3.5b	(/ x (- (* t z) x))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

143.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.0ms	(fma (/ y (- (* t z) x)) z x)
22.0ms	(/ y (- (* t z) x))
30.0ms	(/ x (- (* t z) x))

series464.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
105.0ms	(fma (/ y (- (* t z) x)) z x)
44.0ms	(/ y (- (* t z) x))
91.0ms	(/ x (- (* t z) x))

simplify2.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	1768
1	512
0	215

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (- (* t z) x))
2.7b	(fma (* y (/ 1 (- (* t z) x))) z x)
2.8b	(* y (/ 1 (- (* t z) x)))
3.5b	(/ x (- (* t z) x))

rewrite95.0ms

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` `div-inv` `flip--` `unswap-sqr`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 116

Calls

4 calls:

28.0ms	(/ 1 (- (* t z) x))
1.0ms	(fma (* y (/ 1 (- (* t z) x))) z x)
50.0ms	(* y (/ 1 (- (* t z) x)))
11.0ms	(/ x (- (* t z) x))

series284.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ 1 (- (* t z) x))
83.0ms	(fma (* y (/ 1 (- (* t z) x))) z x)
47.0ms	(* y (/ 1 (- (* t z) x)))
100.0ms	(/ x (- (* t z) x))

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
3	3388
2	1107
1	372
0	160

prune879.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ x (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))
9.3b	(cbrt (- (* t z) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

21.0ms	(/ x (- (* t z) x))
10.0ms	(cbrt (- (* t z) x))
10.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))

series605.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ x (- (* t z) x))
170.0ms	(cbrt (- (* t z) x))
146.0ms	(cbrt (- (* t z) x))
197.0ms	(cbrt (- (* t z) x))

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5009
3	2058
2	687
1	254
0	112

prune645.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

regimes638.0ms

Accuracy

23.3% (3.5b remaining)

Error of 3.7b against oracle of 0.3b and baseline of 4.8b

bsearch166.0ms

Steps

Iters	Range		Point
9	2.170838059080115e-174	2.4722984231081845e-165	1.5148165338564995e-166
6	-4.732205387525018e+158	-5.3731394571269196e+157	-5.440078247488523e+157

simplify12.0ms

Iterations

Iter	Nodes
done	43
1	43
0	35

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

8318×

body

valid