Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

262×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3129
6	793
5	262
4	114
3	64
2	39
1	25
0	13

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite235.0ms

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:

35.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
13.0ms	(- (* y z) x)
157.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
25.0ms	(/ (- (* y z) x) (- (* t z) x))

series503.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
36.0ms	(- (* y z) x)
197.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
129.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2206
1	489
0	183

prune897.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
3.2b	(/ y (- (* t z) x))
3.6b	(fma (/ y (- (* t z) x)) z x)
3.9b	(/ x (- (* t z) x))

rewrite193.0ms

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:

163.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
11.0ms	(/ y (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)
12.0ms	(/ x (- (* t z) x))

series421.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
43.0ms	(/ y (- (* t z) x))
94.0ms	(fma (/ y (- (* t z) x)) z x)
97.0ms	(/ x (- (* t z) x))

simplify1.6s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
2	1862
1	512
0	215

prune976.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ 1 (/ (- (* t z) x) x))) (+ x 1.0))
3.2b	(/ y (- (* t z) x))
3.6b	(fma (/ y (- (* t z) x)) z x)
3.8b	(/ (- (* t z) x) x)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
88×	`times-frac`
83×	`*-un-lft-identity`
36×	`add-cube-cbrt`
25×	`difference-of-squares`
16×	`associate-/l*`
11×	`distribute-lft-out`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
8×	`div-inv`
4×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--`
2×	`div-sub`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 146

Calls

4 calls:

129.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ 1 (/ (- (* t z) x) x))) (+ x 1.0))
13.0ms	(/ y (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)
17.0ms	(/ (- (* t z) x) x)

series396.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ 1 (/ (- (* t z) x) x))) (+ x 1.0))
39.0ms	(/ y (- (* t z) x))
84.0ms	(fma (/ y (- (* t z) x)) z x)
65.0ms	(/ (- (* t z) x) x)

simplify2.2s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	2388
1	624
0	259

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.5b	(/ 1 (- (* t z) x))
0.7b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
9.7b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite155.0ms

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` `clear-num` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 134

Calls

4 calls:

7.0ms	(- (* y z) x)
14.0ms	(/ 1 (- (* t z) x))
28.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
101.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* y z) x)
36.0ms	(/ 1 (- (* t z) x))
218.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
82.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify3.2s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	3497
1	554
0	214

prune833.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

regimes502.0ms

Accuracy

52.4% (3.3b remaining)

Error of 3.7b against oracle of 0.4b and baseline of 7.3b

bsearch152.0ms

Steps

Iters	Range		Point
8	2.0129849073113435e+131	8.804670217430036e+133	2.6537477448810454e+131
10	-5.2576667323477315e+85	-5.542941488631225e+70	-5.021372688236871e+81

simplify6.0ms

Iterations

Iter	Nodes
done	35
1	35
0	24

end0.0ms

sample1.4s

Algorithm

intervals

Results

852.0ms

8347×

body

valid