Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

271×

body

valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8
done	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

9.0ms	(- (* t z) x)
132.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
30.0ms	(/ (- (* y z) x) (- (* t z) x))

series240.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- (* t z) x)
144.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
68.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify71.0ms

Counts

104 → 104

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	433	951
1	1923	872
2	5001	872
done	5001	872

prune304.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
3.0b	(/ x (- (* t z) x))
3.3b	(/ y (- (* t z) x))
3.9b	(fma (/ y (- (* t z) x)) z x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`associate-/r/` `distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`div-inv`
7×	`flip3--` `flip--`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

34.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
17.0ms	(/ x (- (* t z) x))
14.0ms	(/ y (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)

series287.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
69.0ms	(/ x (- (* t z) x))
36.0ms	(/ y (- (* t z) x))
70.0ms	(fma (/ y (- (* t z) x)) z x)

simplify77.0ms

Counts

182 → 182

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	582	1552
1	2287	1475
2	5002	1475
done	5002	1475

prune626.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x (/ (- (* y z) x) (fma t z (- x)))) (+ x 1.0))
10.5b	(/ (- (* y z) x) (fma t z (- x)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
25×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`associate-/r` `associate-/l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l/`
3×	`div-sub`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `associate-/r/` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`associate-+r-` `flip3--` `flip--`

Counts

2 → 75

Calls

2 calls:

74.0ms	(/ (+ x (/ (- (* y z) x) (fma t z (- x)))) (+ x 1.0))
25.0ms	(/ (- (* y z) x) (fma t z (- x)))

series232.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(/ (+ x (/ (- (* y z) x) (fma t z (- x)))) (+ x 1.0))
72.0ms	(/ (- (* y z) x) (fma t z (- x)))

simplify50.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	334	845
1	1185	789
2	5001	788
done	5001	788

prune257.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt (/ (- (* y z) x) (fma t z (- x))))
10.5b	(/ (- (* y z) x) (fma t z (- x)))
10.5b	(/ (- (* y z) x) (fma t z (- x)))
10.5b	(/ (- (* y z) x) (fma t z (- x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

5.0ms	(cbrt (/ (- (* y z) x) (fma t z (- x))))
20.0ms	(/ (- (* y z) x) (fma t z (- x)))
24.0ms	(/ (- (* y z) x) (fma t z (- x)))
21.0ms	(/ (- (* y z) x) (fma t z (- x)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (/ (- (* y z) x) (fma t z (- x))))
73.0ms	(/ (- (* y z) x) (fma t z (- x)))
77.0ms	(/ (- (* y z) x) (fma t z (- x)))
77.0ms	(/ (- (* y z) x) (fma t z (- x)))

simplify86.0ms

Counts

132 → 132

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	217	1163
1	634	1084
2	2417	1082
3	5002	1071
done	5002	1071

prune577.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

46.1% (2.3b remaining)

Error of 2.7b against oracle of 0.4b and baseline of 4.7b

bsearch149.0ms

Steps

Iters	Range	Point
9	4.065411880217532e+143	9.383427439839466e+148	4.3242404044185947e+145
7	-5.9102947559429184e-92	-1.269615331971183e-93	-5.8431524013620965e-92
9	-3.812181010301986e+155	-1.2333471528461792e+149	-1.3966881446584968e+153

Iters

Range

Point

4.065411880217532e+143

9.383427439839466e+148

4.3242404044185947e+145

-5.9102947559429184e-92

-1.269615331971183e-93

-5.8431524013620965e-92

-3.812181010301986e+155

-1.2333471528461792e+149

-1.3966881446584968e+153

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	29
1	45	29
2	45	29
done	45	29

end0.0ms

sample624.0ms

Algorithm

intervals

Results

321.0ms

8322×

body

valid