Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize21.0ms

Local error

Found 1 expressions with local error:

7.5b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

45.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify2.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	3469
2	712
1	214
0	97

prune325.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (- 1.0 (/ y z)))
6.8b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 101

Calls

2 calls:

38.0ms	(/ 1 (- 1.0 (/ y z)))
70.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series166.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1 (- 1.0 (/ y z)))
99.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	3263
1	377
0	147

prune499.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 6.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.7b	(cbrt (- 1.0 (/ y z)))
7.7b	(cbrt (- 1.0 (/ y z)))
7.7b	(cbrt (- 1.0 (/ y z)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`cbrt-prod` `cbrt-div`
9×	`flip3--` `add-exp-log` `add-cube-cbrt` `flip--`
8×	`associate-/r/`
7×	`times-frac` `add-cbrt-cube`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow1` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow1/3` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `distribute-lft-out` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 89

Calls

4 calls:

45.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
12.0ms	(cbrt (- 1.0 (/ y z)))
12.0ms	(cbrt (- 1.0 (/ y z)))
18.0ms	(cbrt (- 1.0 (/ y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

292.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
379.0ms	(cbrt (- 1.0 (/ y z)))
354.0ms	(cbrt (- 1.0 (/ y z)))
431.0ms	(cbrt (- 1.0 (/ y z)))

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
3	3293
2	895
1	348
0	150

prune647.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 6.4b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z)))))
6.8b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))
6.8b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))
6.8b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-sqr-sqrt`
72×	`associate-r`
69×	`times-frac`
64×	`*-un-lft-identity`
37×	`add-cube-cbrt`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`difference-of-squares`
12×	`associate-l` `prod-exp`
10×	`pow1`
9×	`distribute-lft-out--` `unswap-sqr`
8×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
6×	`cbrt-div` `div-exp` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `un-div-inv` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--` `distribute-lft-out`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 179

Calls

4 calls:

15.0ms	(cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z)))))
70.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))
77.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))
74.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

431.0ms	(cbrt (* (+ x y) (/ 1 (- 1.0 (/ y z)))))
75.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))
71.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))
67.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify4.2s

Counts

191 → 191

Iterations

Iter	Nodes
done	5000
2	3048
1	476
0	192

prune1.1s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 6.4b

regimes430.0ms

Accuracy

0% (1.9b remaining)

Error of 7.5b against oracle of 5.6b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample708.0ms

Algorithm

intervals

Results

428.0ms

8000×

body

valid