Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

350×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	110	8
5	162	8
6	210	8
7	249	8
8	495	8
9	1411	8
done	5001	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize19.0ms

Local error

Found 1 expressions with local error:

7.9b	(* (/ x y) (- z t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 62

Calls

1 calls:

54.0ms

(* (/ x y) (- z t))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(* (/ x y) (- z t))

simplify1.5s

Counts

65 → 65

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	149	1055
1	412	889
2	2176	753
done	5001	725

prune127.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.3b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
106.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series876.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt x)
276.0ms	(cbrt x)
266.0ms	(cbrt x)
64.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify525.0ms

Counts

154 → 154

Iterations

Useful iterations: done (518.0ms)

Iter	Nodes	Cost
0	270	4510
1	978	4126
done	5001	3394

prune458.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* (/ x y) (- z t)))
7.9b	(* (/ x y) (- z t))
7.9b	(* (/ x y) (- z t))
7.9b	(* (/ x y) (- z t))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
64×	`add-cube-cbrt`
54×	`prod-diff`
39×	`associate-l`
33×	`distribute-rgt-in` `distribute-lft-in`
30×	`times-frac`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 202

Calls

4 calls:

12.0ms	(cbrt (* (/ x y) (- z t)))
32.0ms	(* (/ x y) (- z t))
35.0ms	(* (/ x y) (- z t))
54.0ms	(* (/ x y) (- z t))

series424.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (* (/ x y) (- z t)))
80.0ms	(* (/ x y) (- z t))
90.0ms	(* (/ x y) (- z t))
81.0ms	(* (/ x y) (- z t))

simplify1.6s

Counts

214 → 214

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	195	3420
1	497	2913
2	2436	2487
done	5001	2394

prune722.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.4b	(* (/ (cbrt x) y) (- z t))
4.4b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
66×	`add-exp-log`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
35×	`add-cbrt-cube`
33×	`prod-exp`
29×	`associate-l`
23×	`times-frac`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 197

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
59.0ms	(* (/ (cbrt x) y) (- z t))
102.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series830.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt x)
282.0ms	(cbrt x)
207.0ms	(* (/ (cbrt x) y) (- z t))
126.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify721.0ms

Counts

209 → 209

Iterations

Useful iterations: done (715.0ms)

Iter	Nodes	Cost
0	326	4712
1	1158	3852
done	5000	3267

prune595.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	17	23
done	17	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

511.0ms

10752×

body

valid