Details

sample37.0ms

Algorithm

intervals

Results

24.0ms

272×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4658
8	2560
7	1363
6	590
5	234
4	114
3	64
2	39
1	25
0	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
7×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
5×	`add-log-exp`
4×	`div-sub` `associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `fma-def` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`+-commutative` `sum-log`

Counts

3 → 98

Calls

3 calls:

33.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
173.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms	(/ (- (* y z) x) (- (* t z) x))

series454.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
239.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
94.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1275
1	413
0	158

prune643.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
3.0b	(/ x (- (* t z) x))
3.4b	(/ y (- (* t z) x))
3.8b	(fma (/ y (- (* t z) x)) z x)

rewrite164.0ms

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` `insert-posit16` `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 → 129

Calls

4 calls:

129.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
19.0ms	(/ x (- (* t z) x))
13.0ms	(/ y (- (* t z) x))
0.0ms	(fma (/ y (- (* t z) x)) z x)

series403.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
83.0ms	(/ x (- (* t z) x))
52.0ms	(/ y (- (* t z) x))
76.0ms	(fma (/ y (- (* t z) x)) z x)

simplify1.4s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	1637
1	516
0	219

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (- (* t z) x) y))
3.0b	(/ x (- (* t z) x))
3.4b	(/ (- (* t z) x) y)
3.8b	(fma (/ 1 (/ (- (* t z) x) y)) z x)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-/r*` `add-exp-log`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

16.0ms	(/ 1 (/ (- (* t z) x) y))
31.0ms	(/ x (- (* t z) x))
21.0ms	(/ (- (* t z) x) y)
0.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)

series345.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ 1 (/ (- (* t z) x) y))
100.0ms	(/ x (- (* t z) x))
110.0ms	(/ (- (* t z) x) y)
75.0ms	(fma (/ 1 (/ (- (* t z) x) y)) z x)

simplify1.9s

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	1739
1	566
0	233

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.6b	(/ 1 (- (* t z) x))
9.8b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite149.0ms

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×	`div-exp`
4×	`expm1-log1p-u` `flip3--` `prod-exp` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out`
3×	`cbrt-undiv` `fma-def` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 136

Calls

4 calls:

7.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
40.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
24.0ms	(/ 1 (- (* t z) x))
77.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
212.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
52.0ms	(/ 1 (- (* t z) x))
90.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify1.9s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	1752
1	507
0	200

prune842.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes390.0ms

Accuracy

32.6% (2.9b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 4.6b

bsearch165.0ms

Steps

Iters	Range		Point
8	3.73373204307318e+54	1.429091952413382e+57	1.415907658888434e+57
5	-1.495364199204186e-61	-4.627376998772586e-62	-7.259731899519289e-62

simplify5.0ms

Iterations

Iter	Nodes
done	38
1	38
0	30

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.6s

8327×

body

valid