Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

347×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

3.5b	(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:

1.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 3 (76.0ms)

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

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ a y)) x)
5.8b	(/ (- z t) (/ a y))

rewrite175.0ms

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:

136.0ms	(+ (/ (- z t) (/ a y)) x)
27.0ms	(/ (- z t) (/ a y))

series147.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (/ (- z t) (/ a y)) x)
77.0ms	(/ (- 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

prune674.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ t (/ a y)) x)
4.3b	(/ z (/ a y))
4.9b	(/ t (/ a y))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
280×	`add-sqr-sqrt`
273×	`*-un-lft-identity`
271×	`add-cube-cbrt`
132×	`prod-diff`
44×	`fma-neg`
26×	`associate-/r*` `div-inv`
13×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 338

Calls

3 calls:

82.0ms	(- (/ t (/ a y)) x)
18.0ms	(/ z (/ a y))
20.0ms	(/ t (/ a y))

series131.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (/ t (/ a y)) x)
30.0ms	(/ z (/ a y))
31.0ms	(/ t (/ a y))

simplify2.1s

Counts

347 → 347

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	426	6640
1	928	5154
2	2511	4586
done	5000	4308

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) a)
6.0b	(fma (/ (- z t) a) y x)

rewrite33.0ms

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:

30.0ms	(/ (- z t) a)
1.0ms	(fma (/ (- z t) a) y x)

series115.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- z t) a)
83.0ms	(fma (/ (- z t) a) y x)

simplify2.8s

Counts

56 → 56

Iterations

Useful iterations: 4 (1.4s)

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

prune231.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes291.0ms

Accuracy

39.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.5b

bsearch167.0ms

Steps

Iters	Range		Point
9	1.1479087304207821e-93	5.727310822523293e-86	2.6189748385344556e-91
7	-7.483898755485236e-100	-2.534579947630218e-101	-7.397051135373072e-100

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	35
1	26	35
done	26	35

end0.0ms

sample1.9s

Algorithm

intervals

Results

671.0ms

10523×

body

valid