Details

sample56.0ms

Algorithm

intervals

Results

21.0ms

339×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

1.6b	(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:

1.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 3 (37.0ms)

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

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
5.7b	(/ (- z t) (/ a y))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

163.0ms	(+ (/ (- z t) (/ a y)) x)
46.0ms	(/ (- z t) (/ a y))

series157.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(+ (/ (- z t) (/ a y)) x)
67.0ms	(/ (- z t) (/ a y))

simplify1.5s

Counts

194 → 194

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	224	1920
1	603	1786
2	1918	1697
done	5000	1689

prune754.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
7.6b	(/ (* y (- z t)) a)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `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 → 88

Calls

3 calls:

34.0ms	(* y (- z t))
13.0ms	(+ x (/ (* y (- z t)) a))
23.0ms	(/ (* y (- z t)) a)

series187.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* y (- z t))
75.0ms	(+ x (/ (* y (- z t)) a))
66.0ms	(/ (* y (- z t)) a)

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	170	1262
1	385	1055
2	1060	875
done	5001	835

prune311.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) a)
7.9b	(fma (/ (- z t) a) y x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

18.0ms	(/ (- z t) a)
0.0ms	(fma (/ (- z t) a) y x)

series110.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z t) a)
68.0ms	(fma (/ (- z t) a) y x)

simplify3.2s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	95	558
1	194	536
2	452	500
3	1235	490
4	3717	489
done	5000	489

prune249.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

35.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.2b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	45
1	22	38
done	22	38

end0.0ms

sample1.5s

Algorithm

intervals

Results

641.0ms

10736×

body

valid