Details

sample45.0ms

Algorithm

intervals

Results

16.0ms

365×

body

valid

simplify1.3s

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:

1.8b	(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)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify948.0ms

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

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
8.1b	(/ (- z t) (/ a y))

rewrite153.0ms

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:

113.0ms	(+ (/ (- z t) (/ a y)) x)
28.0ms	(/ (- z t) (/ a y))

series126.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (/ (- z t) (/ a y)) x)
53.0ms	(/ (- z t) (/ a y))

simplify1.3s

Counts

194 → 194

Iterations

Useful iterations: done (1.3s)

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

prune543.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) a)
5.6b	(fma (/ (- z t) a) y x)

rewrite23.0ms

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:

21.0ms	(/ (- z t) a)
0.0ms	(fma (/ (- z t) a) y x)

series92.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- z t) a)
53.0ms	(fma (/ (- z t) a) y x)

simplify2.6s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.5s)

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

prune584.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
6.3b	(/ (* 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:

31.0ms	(* y (- z t))
18.0ms	(+ x (/ (* y (- z t)) a))
24.0ms	(/ (* y (- z t)) a)

series159.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* y (- z t))
58.0ms	(+ x (/ (* y (- z t)) a))
62.0ms	(/ (* y (- z t)) a)

simplify983.0ms

Counts

97 → 97

Iterations

Useful iterations: done (979.0ms)

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

prune215.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

76.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	45
1	27	34
done	27	34

end0.0ms

sample1.0s

Algorithm

intervals

Results

397.0ms

10775×

body

valid