Details

sample58.0ms

Algorithm

intervals

Results

29.0ms

275×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	111	10
5	156	10
6	206	10
7	251	10
8	301	10
9	386	10
10	484	10
11	552	10
12	616	10
13	644	10
done	644	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.8b	(fma (/ y (- a t)) (- z t) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

17.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series311.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ y (- a t))
272.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (724.0ms)

Iter	Nodes	Cost
0	92	550
1	167	533
2	348	493
3	761	491
4	2276	490
done	5000	490

prune256.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (/ (- a t) y))
2.8b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`associate-/r*`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
7×	`div-exp` `add-cbrt-cube`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `associate-/r/` `fma-udef` `inv-pow`

Counts

2 → 112

Calls

2 calls:

18.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series360.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ 1 (/ (- a t) y))
270.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify4.3s

Counts

118 → 118

Iterations

Useful iterations: 4 (2.5s)

Iter	Nodes	Cost
0	188	1734
1	396	1431
2	744	1206
3	1768	1174
4	4577	1173
done	5000	1173

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- a t) y)) x)
9.0b	(/ (- z t) (/ (- a t) y))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

355×	`times-frac`
287×	`*-un-lft-identity`
285×	`add-sqr-sqrt`
141×	`add-cube-cbrt`
100×	`fma-def`
72×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`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 → 254

Calls

2 calls:

156.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
51.0ms	(/ (- z t) (/ (- a t) y))

series333.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.9s

Counts

260 → 260

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	258	3026
1	723	2832
2	2310	2733
done	5000	2723

prune1.0s

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	(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
0.0b	(/ (- z t) (- a t))
3.2b	(/ (/ (- z t) (- a t)) (/ 1 y))

rewrite587.0ms

Algorithm

rewrite-expression-head

Rules

2073×	`times-frac`
1320×	`*-un-lft-identity`
1318×	`add-sqr-sqrt`
754×	`add-cube-cbrt`
408×	`fma-def`
282×	`distribute-lft-out--` `difference-of-squares`
93×	`div-inv`
58×	`associate-/r/`
36×	`associate-/l*`
29×	`flip3--` `flip--`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 951

Calls

3 calls:

375.0ms	(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
25.0ms	(/ (- z t) (- a t))
54.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))

series492.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
112.0ms	(/ (- z t) (- a t))
197.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))

simplify1.5s

Counts

960 → 960

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	709	13672
1	2068	11433
done	5000	10622

prune3.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes367.0ms

Accuracy

87.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	62
1	25	62
done	25	62

end0.0ms

sample1.2s

Algorithm

intervals

Results

529.0ms	8691×	body	80	valid
0.0ms	2×	body	160	valid