Details

sample39.0ms

Algorithm

intervals

Results

15.0ms

274×

body

valid

simplify6.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	63	10
4	106	10
5	179	10
6	329	10
7	660	10
8	1295	10
9	2525	10
done	5000	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.0b	(fma (/ (- y z) (- a z)) t x)

rewrite413.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

410.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series179.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- y z) (- a z))
112.0ms	(fma (/ (- y z) (- a z)) t x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (642.0ms)

Iter	Nodes	Cost
0	113	884
1	264	856
2	826	810
3	4309	808
done	5000	808

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
2.0b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite111.0ms

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--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

38.0ms	(/ (- a z) (- y z))
59.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series567.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- a z) (- y z))
173.0ms	(/ 1 (/ (- a z) (- y z)))
325.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify2.0s

Counts

223 → 223

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	270	3746
1	703	3234
2	4006	3114
done	5002	3100

prune578.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ t (/ (- a z) (- y z))) x)
0.0b	(/ (- a z) (- y z))
1.8b	(/ t (/ (- a z) (- y z)))

rewrite253.0ms

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-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

157.0ms	(+ (/ t (/ (- a z) (- y z))) x)
26.0ms	(/ (- a z) (- y z))
36.0ms	(/ t (/ (- a z) (- y z)))

series619.0ms

Counts

3 → 9

Calls

3 calls:

329.0ms	(+ (/ t (/ (- a z) (- y z))) x)
73.0ms	(/ (- a z) (- y z))
215.0ms	(/ t (/ (- a z) (- y z)))

simplify1.7s

Counts

319 → 319

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	298	3793
1	812	3587
2	4097	3434
done	5000	3426

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ t (- (/ a (- y z)) (/ z (- y z)))) x)
0.0b	(/ a (- y z))
0.0b	(/ z (- y z))
1.8b	(/ t (- (/ a (- y z)) (/ z (- y z))))

rewrite758.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
264×	`times-frac`
211×	`add-sqr-sqrt`
92×	`distribute-lft-out--`
83×	`add-cube-cbrt`
62×	`fma-def`
50×	`difference-of-squares`
40×	`associate-/r/`
28×	`associate-/r*`
21×	`distribute-rgt-out--`
18×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 247

Calls

4 calls:

571.0ms	(+ (/ t (- (/ a (- y z)) (/ z (- y z)))) x)
13.0ms	(/ a (- y z))
12.0ms	(/ z (- y z))
144.0ms	(/ t (- (/ a (- y z)) (/ z (- y z))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(+ (/ t (- (/ a (- y z)) (/ z (- y z)))) x)
35.0ms	(/ a (- y z))
52.0ms	(/ z (- y z))
134.0ms	(/ t (- (/ a (- y z)) (/ z (- y z))))

simplify1.0s

Counts

259 → 259

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	294	3175
1	613	2980
2	2309	2882
done	5001	2880

prune927.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

77.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.2b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	55
1	23	46
done	23	46

end0.0ms

sample1.0s

Algorithm

intervals

Results

495.0ms	8758×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid