Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

277×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
22	4995
21	4713
20	4418
19	4136
18	3837
17	3514
16	3152
15	2742
14	2228
13	1882
12	1295
11	753
10	441
9	341
8	282
7	255
6	219
5	152
4	95
3	58
2	37
1	21
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.6b	(fma (/ (- z t) (- z a)) y x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

26.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series191.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z t) (- z a))
122.0ms	(fma (/ (- z t) (- z a)) y x)

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5022
3	2208
2	650
1	266
0	113

prune389.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
0.6b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

21.0ms	(/ (- z a) (- z t))
36.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series317.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- z a) (- z t))
120.0ms	(/ 1 (/ (- z a) (- z t)))
138.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify1.6s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	1845
1	700
0	269

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
1.3b	(/ y (/ (- z a) (- z t)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

143.0ms	(+ (/ y (/ (- z a) (- z t))) x)
20.0ms	(/ (- z a) (- z t))
31.0ms	(/ y (/ (- z a) (- z t)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(+ (/ y (/ (- z a) (- z t))) x)
81.0ms	(/ (- z a) (- z t))
184.0ms	(/ y (/ (- z a) (- z t)))

simplify2.2s

Counts

319 → 319

Iterations

Iter	Nodes
done	5002
2	2978
1	811
0	298

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ (- z a) (- z t)) y)) x)
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (/ (- z a) (- z t)) y))
1.3b	(/ (/ (- z a) (- z t)) y)

rewrite651.0ms

Algorithm

rewrite-expression-head

Rules

1976×	`times-frac`
1270×	`*-un-lft-identity`
1267×	`add-sqr-sqrt`
743×	`add-cube-cbrt`
296×	`fma-def`
262×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
54×	`associate-/r/`
39×	`associate-/l*`
37×	`div-inv`
32×	`add-exp-log`
27×	`flip3--` `flip--`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 928

Calls

4 calls:

348.0ms	(+ (/ 1 (/ (/ (- z a) (- z t)) y)) x)
43.0ms	(/ (- z a) (- z t))
76.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
67.0ms	(/ (/ (- z a) (- z t)) y)

series747.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(+ (/ 1 (/ (/ (- z a) (- z t)) y)) x)
66.0ms	(/ (- z a) (- z t))
376.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
125.0ms	(/ (/ (- z a) (- z t)) y)

simplify2.5s

Counts

940 → 940

Iterations

Iter	Nodes
done	5000
1	2108
0	733

prune6.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes531.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	8709×	body	80	valid
0.0ms	1×	body	640	valid