Details

sample59.0ms

Algorithm

intervals

Results

31.0ms

274×

body

valid

simplify75.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	53
5	53
4	51
3	45
2	35
1	26
0	15

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.1b	(/ (* y b) t)
4.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

10.0ms	(+ x (/ (* y z) t))
22.0ms	(/ (* y b) t)
21.0ms	(/ (* y z) t)
138.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ (* y z) t))
38.0ms	(/ (* y b) t)
24.0ms	(/ (* y z) t)
141.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5011
2	1799
1	498
0	191

prune991.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.9b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.1b	(* (* y b) (/ 1 t))
4.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity` `add-exp-log`
24×	`times-frac`
23×	`add-sqr-sqrt` `add-cbrt-cube` `add-cube-cbrt`
13×	`associate-r` `prod-exp`
9×	`pow1`
7×	`div-exp` `cbrt-unprod`
6×	`associate-/r*` `associate-/r/` `add-log-exp`
5×	`cbrt-undiv` `flip3-+` `flip-+` `distribute-lft-out` `associate-/l*`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down` `associate-*r/` `un-div-inv` `div-inv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`+-commutative` `sum-log` `associate-l` `*-commutative`

Counts

4 → 125

Calls

4 calls:

10.0ms	(+ x (/ (* y z) t))
45.0ms	(* (* y b) (/ 1 t))
13.0ms	(/ (* y z) t)
90.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (/ (* y z) t))
44.0ms	(* (* y b) (/ 1 t))
29.0ms	(/ (* y z) t)
168.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify2.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5008
2	2274
1	646
0	234

prune995.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.9b

localize43.0ms

Local error

Found 4 expressions with local error:

5.4b	(/ (* (cbrt (+ x (/ (* y z) t))) (cbrt (+ x (/ (* y z) t)))) (/ (+ (+ a 1.0) (/ (* y b) t)) (cbrt (+ x (/ (* y z) t)))))
7.7b	(cbrt (+ x (/ (* y z) t)))
7.7b	(cbrt (+ x (/ (* y z) t)))
7.7b	(cbrt (+ x (/ (* y z) t)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
111×	`times-frac`
55×	`distribute-lft-out`
52×	`cbrt-prod`
43×	`add-sqr-sqrt` `add-cube-cbrt`
41×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`expm1-log1p-u` `frac-times` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 164

Calls

4 calls:

128.0ms	(/ (* (cbrt (+ x (/ (* y z) t))) (cbrt (+ x (/ (* y z) t)))) (/ (+ (+ a 1.0) (/ (* y b) t)) (cbrt (+ x (/ (* y z) t)))))
12.0ms	(cbrt (+ x (/ (* y z) t)))
11.0ms	(cbrt (+ x (/ (* y z) t)))
12.0ms	(cbrt (+ x (/ (* y z) t)))

series828.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(/ (* (cbrt (+ x (/ (* y z) t))) (cbrt (+ x (/ (* y z) t)))) (/ (+ (+ a 1.0) (/ (* y b) t)) (cbrt (+ x (/ (* y z) t)))))
210.0ms	(cbrt (+ x (/ (* y z) t)))
183.0ms	(cbrt (+ x (/ (* y z) t)))
217.0ms	(cbrt (+ x (/ (* y z) t)))

simplify2.6s

Counts

176 → 176

Iterations

Iter	Nodes
done	5001
2	2093
1	665
0	236

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.9b

localize110.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (+ x (/ (* y z) t)))
10.8b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
10.8b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
10.8b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`cbrt-prod`
14×	`cbrt-div`
10×	`distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
6×	`frac-add`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 77

Calls

4 calls:

12.0ms	(cbrt (+ x (/ (* y z) t)))
40.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
32.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
20.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (+ x (/ (* y z) t)))
263.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
283.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
249.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

simplify2.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3944
2	1202
1	416
0	168

prune885.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 8.9b

regimes890.0ms

Accuracy

11.9% (5.1b remaining)

Error of 15.8b against oracle of 10.7b and baseline of 16.5b

bsearch54.0ms

Steps

Iters	Range		Point
6	5.071112687032584e+85	6.766392302206487e+86	3.6240631720595186e+86

simplify4.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

8280×

body

valid