Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

350×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	45	9
4	84	9
5	112	9
6	130	9
7	147	9
8	188	9
9	245	9
10	274	9
11	307	9
12	343	9
13	368	9
14	384	9
15	471	9
16	562	9
17	811	9
18	1138	9
19	1573	9
20	1655	9
21	1656	9
done	1656	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
8.2b	(/ (* y (- z x)) t)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

10.0ms	(+ x (/ (* y (- z x)) t))
22.0ms	(* y (- z x))
35.0ms	(/ (* y (- z x)) t)

series187.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (/ (* y (- z x)) t))
56.0ms	(* y (- z x))
82.0ms	(/ (* y (- z x)) t)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	113	722
1	290	679
2	894	589
3	4328	589
done	5000	589

prune205.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.5b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
66.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt t)
273.0ms	(cbrt t)
291.0ms	(cbrt t)
107.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.2s

Counts

116 → 116

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	161	1577
1	459	1499
2	1984	1153
done	5000	1056

prune431.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z x) t)))
0.0b	(/ (- z x) t)
4.7b	(* y (/ (- z x) t))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

7.0ms	(+ x (* y (/ (- z x) t)))
25.0ms	(/ (- z x) t)
51.0ms	(* y (/ (- z x) t))

series166.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ x (* y (/ (- z x) t)))
34.0ms	(/ (- z x) t)
78.0ms	(* y (/ (- z x) t))

simplify2.5s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	137	1051
1	338	980
2	986	914
3	3789	890
done	5000	890

prune270.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt t) (cbrt t))
237.0ms	(cbrt t)
265.0ms	(cbrt t)
232.0ms	(cbrt t)

simplify4.7s

Counts

85 → 85

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune337.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	17	27
done	17	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

526.0ms

10660×

body

valid