Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

265×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	114	17
5	262	17
6	793	17
7	3180	17
done	5000	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

9.0ms	(- (* y z) x)
17.0ms	(- (* t z) x)
201.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
40.0ms	(/ (- (* y z) x) (- (* t z) x))

series335.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) x)
34.0ms	(- (* t z) x)
189.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
76.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.7s

Counts

125 → 125

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	187	2188
1	500	2077
2	2227	1926
done	5002	1918

prune517.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
1.9b	(/ x (- (* t z) x))
3.1b	(/ y (fma t z (- x)))
3.5b	(fma (/ y (fma t z (- x))) z x)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
14×	`associate-/r/`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`div-inv`
6×	`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 → 168

Calls

4 calls:

54.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
34.0ms	(/ x (- (* t z) x))
10.0ms	(/ y (fma t z (- x)))
1.0ms	(fma (/ y (fma t z (- x))) z x)

series366.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
78.0ms	(/ x (- (* t z) x))
55.0ms	(/ y (fma t z (- x)))
108.0ms	(fma (/ y (fma t z (- x))) z x)

simplify1.4s

Counts

180 → 180

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	265	3120
1	633	2988
2	2589	2845
done	5000	2836

prune938.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- x) (- (fma t z (- x)))) (+ x 1.0))
1.9b	(/ (- x) (- (fma t z (- x))))
3.1b	(/ y (fma t z (- x)))
3.5b	(fma (/ y (fma t z (- x))) z x)

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

1025×	`times-frac`
698×	`*-un-lft-identity`
488×	`add-sqr-sqrt` `add-cube-cbrt`
366×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
122×	`neg-mul-1`
117×	`associate-/l*`
105×	`distribute-lft-out`
17×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `div-sub` `distribute-frac-neg` `clear-num`
2×	`neg-sub0` `associate-/r/`
1×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 720

Calls

4 calls:

48.0ms	(/ (/ (- x) (- (fma t z (- x)))) (+ x 1.0))
372.0ms	(/ (- x) (- (fma t z (- x))))
5.0ms	(/ y (fma t z (- x)))
0.0ms	(fma (/ y (fma t z (- x))) z x)

series363.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (/ (- x) (- (fma t z (- x)))) (+ x 1.0))
81.0ms	(/ (- x) (- (fma t z (- x))))
39.0ms	(/ y (fma t z (- x)))
88.0ms	(fma (/ y (fma t z (- x))) z x)

simplify1.2s

Counts

732 → 732

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	808	17021
1	2059	16177
done	5001	16019

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.1b	(/ (cbrt x) (- (fma t z (- x))))
3.1b	(/ y (fma t z (- x)))
3.5b	(fma (/ y (fma t z (- x))) z x)
11.0b	(* (- (* (cbrt x) (cbrt x))) (/ (/ (cbrt x) (- (fma t z (- x)))) (+ x 1.0)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

570×	`times-frac`
405×	`*-un-lft-identity`
290×	`add-sqr-sqrt`
277×	`add-cube-cbrt`
262×	`associate-r`
154×	`cbrt-prod`
94×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
64×	`distribute-lft-out`
32×	`neg-mul-1`
17×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`associate-/r*`
9×	`associate-/l*`
7×	`div-inv`
6×	`pow1` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`distribute-lft-neg-out` `flip3-+` `associate-r/` `pow-prod-down` `-commutative` `flip-+` `fma-udef`

Counts

4 → 420

Calls

4 calls:

9.0ms	(/ (cbrt x) (- (fma t z (- x))))
7.0ms	(/ y (fma t z (- x)))
0.0ms	(fma (/ y (fma t z (- x))) z x)
153.0ms	(* (- (* (cbrt x) (cbrt x))) (/ (/ (cbrt x) (- (fma t z (- x)))) (+ x 1.0)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(/ (cbrt x) (- (fma t z (- x))))
58.0ms	(/ y (fma t z (- x)))
102.0ms	(fma (/ y (fma t z (- x))) z x)
176.0ms	(* (- (* (cbrt x) (cbrt x))) (/ (/ (cbrt x) (- (fma t z (- x)))) (+ x 1.0)))

simplify1.2s

Counts

432 → 432

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	608	9013
1	2139	8462
done	5001	8216

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes280.0ms

Accuracy

61.8% (1.7b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 4.9b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	101
1	46	101
2	50	101
3	53	101
4	54	101
done	54	101

end0.0ms

sample1.4s

Algorithm

intervals

Results

842.0ms

8360×

body

valid