Details

sample45.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify2.1s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite305.0ms

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:

57.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
10.0ms	(- (* y z) x)
169.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
60.0ms	(/ (- (* y z) x) (- (* t z) x))

series543.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
32.0ms	(- (* y z) x)
223.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
103.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts

125 → 125

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	183	2295
1	489	2179
2	2200	2043
done	5001	2037

prune546.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.5b	(/ y (- (* t z) x))
2.5b	(/ x (- (* t z) x))
2.7b	(fma (/ y (- (* t z) x)) z x)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

140.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
15.0ms	(/ y (- (* t z) x))
15.0ms	(/ x (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)

series524.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
54.0ms	(/ y (- (* t z) x))
104.0ms	(/ x (- (* t z) x))
135.0ms	(fma (/ y (- (* t z) x)) z x)

simplify1.2s

Counts

137 → 137

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	215	2892
1	512	2833
2	1863	2665
done	5001	2665

prune610.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.1b	(/ 1 (- (* t z) x))
0.3b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
8.1b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
32×	`times-frac`
30×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `prod-diff` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 134

Calls

4 calls:

17.0ms	(- (* y z) x)
17.0ms	(/ 1 (- (* t z) x))
48.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
72.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* y z) x)
36.0ms	(/ 1 (- (* t z) x))
214.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
97.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify3.6s

Counts

146 → 146

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	214	2542
1	554	2370
2	3461	2016
done	5001	2014

prune609.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (fma y z (- x)) (- (* t z) x)))
0.1b	(/ 1 (/ (+ x 1.0) (+ x (/ (fma y z (- x)) (- (* t z) x)))))
0.3b	(/ (+ x 1.0) (+ x (/ (fma y z (- x)) (- (* t z) x))))
8.1b	(/ (fma y z (- x)) (- (* t z) x))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
155×	`times-frac`
82×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
29×	`associate-/r*`
19×	`add-exp-log`
13×	`associate-/r/` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-exp`
7×	`flip3-+` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `sum-log` `flip--` `inv-pow`

Counts

4 → 204

Calls

4 calls:

43.0ms	(+ x (/ (fma y z (- x)) (- (* t z) x)))
105.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (fma y z (- x)) (- (* t z) x)))))
105.0ms	(/ (+ x 1.0) (+ x (/ (fma y z (- x)) (- (* t z) x))))
31.0ms	(/ (fma y z (- x)) (- (* t z) x))

series664.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ x (/ (fma y z (- x)) (- (* t z) x)))
209.0ms	(/ 1 (/ (+ x 1.0) (+ x (/ (fma y z (- x)) (- (* t z) x)))))
211.0ms	(/ (+ x 1.0) (+ x (/ (fma y z (- x)) (- (* t z) x))))
119.0ms	(/ (fma y z (- x)) (- (* t z) x))

simplify2.2s

Counts

216 → 216

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	255	5761
1	637	5287
2	3783	4971
done	5001	4969

prune665.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes215.0ms

Accuracy

56.2% (3.0b remaining)

Error of 3.5b against oracle of 0.5b and baseline of 7.3b

bsearch139.0ms

Steps

Iters	Range		Point
8	6.098651889528118e+130	1.3372044571509252e+134	1.6593690766520809e+131
7	-5.16998508213888e+123	-8.780076922584585e+121	-2.917974323621221e+123

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

8344×

body

valid