Details

sample26.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify872.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	49	8
4	96	8
5	139	8
6	177	8
7	212	8
8	253	8
9	338	8
10	433	8
11	505	8
12	565	8
13	591	8
done	591	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.5b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- z t) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma (/ y a) (- z t) x)

simplify685.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	267	123
4	1175	123
done	5000	123

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.7b	(/ (- z t) (/ a y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 103

Calls

1 calls:

22.0ms

(/ (- z t) (/ a y))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (- z t) (/ a y))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	197	1676
1	526	1560
2	1672	1498
done	5000	1496

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) a)
6.6b	(* y (/ (- z t) a))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 80

Calls

2 calls:

17.0ms	(/ (- z t) a)
29.0ms	(* y (/ (- z t) a))

series84.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- z t) a)
52.0ms	(* y (/ (- z t) a))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: 3 (580.0ms)

Iter	Nodes	Cost
0	120	859
1	277	810
2	785	748
3	2759	736
done	5000	736

prune183.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (- z t))
0.4b	(/ 1 (/ a (- z t)))
6.6b	(* y (/ 1 (/ a (- z t))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
185×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
121×	`add-cube-cbrt`
68×	`associate-r`
35×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 248

Calls

3 calls:

11.0ms	(/ a (- z t))
17.0ms	(/ 1 (/ a (- z t)))
52.0ms	(* y (/ 1 (/ a (- z t))))

series127.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ a (- z t))
34.0ms	(/ 1 (/ a (- z t)))
59.0ms	(* y (/ 1 (/ a (- z t))))

simplify2.1s

Counts

257 → 257

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	304	3450
1	687	2734
2	1358	2445
3	4266	2381
done	5000	2381

prune454.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes206.0ms

Accuracy

86.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	23	42
done	23	42

end0.0ms

sample724.0ms

Algorithm

intervals

Results

267.0ms

10537×

body

valid