Details

sample51.0ms

Algorithm

intervals

Results

19.0ms

353×

body

valid

simplify153.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	75
5	75
4	71
3	51
2	35
1	17
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize60.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
9.5b	(/ (- (* x y) (* z t)) a)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

2 → 50

Calls

2 calls:

32.0ms	(- (* x y) (* z t))
53.0ms	(/ (- (* x y) (* z t)) a)

series164.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(- (* x y) (* z t))
86.0ms	(/ (- (* x y) (* z t)) a)

simplify5.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	2583
2	700
1	226
0	90

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.7b

localize73.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* z t))
9.6b	(* (- (* x y) (* z t)) (/ 1 a))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `times-frac` `add-exp-log`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`pow1` `prod-exp` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `fma-neg` `diff-log` `1-exp` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 60

Calls

2 calls:

41.0ms	(- (* x y) (* z t))
120.0ms	(* (- (* x y) (* z t)) (/ 1 a))

series197.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* x y) (* z t))
121.0ms	(* (- (* x y) (* z t)) (/ 1 a))

simplify6.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5004
3	3246
2	935
1	295
0	116

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.7b

localize79.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z t))
0.7b	(/ 1 (/ a (- (* x y) (* z t))))
9.5b	(/ a (- (* x y) (* z t)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

23.0ms	(- (* x y) (* z t))
58.0ms	(/ 1 (/ a (- (* x y) (* z t))))
29.0ms	(/ a (- (* x y) (* z t)))

series387.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* x y) (* z t))
206.0ms	(/ 1 (/ a (- (* x y) (* z t))))
88.0ms	(/ a (- (* x y) (* z t)))

simplify9.3s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
3	4903
2	1484
1	495
0	200

prune2.3s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.7b

localize155.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(* (cbrt a) (cbrt a))
1.5b	(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
8.2b	(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
53×	`add-sqr-sqrt`
45×	`*-un-lft-identity` `add-cube-cbrt`
43×	`cbrt-prod`
20×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-inv`
7×	`cbrt-undiv` `associate-/r*` `pow1/3` `div-exp`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`div-sub` `prod-exp` `cbrt-unprod` `associate-/l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `flip3--` `*-commutative` `flip--`

Counts

4 → 160

Calls

4 calls:

2.0ms	(cbrt a)
36.0ms	(* (cbrt a) (cbrt a))
97.0ms	(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
87.0ms	(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

series1.4s

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt a)
362.0ms	(* (cbrt a) (cbrt a))
184.0ms	(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
535.0ms	(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

simplify4.9s

Counts

172 → 172

Iterations

Iter	Nodes
done	5001
2	2095
1	608
0	229

prune2.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes4.3s

Accuracy

87.4% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 7.9b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

11189×

body

valid