Details

sample50.0ms

Algorithm

intervals

Results

19.0ms

277×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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:

24.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series190.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ y (- z a))
144.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.7s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune300.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
31×	`add-cube-cbrt`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `neg-sub0` `flip3--` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 93

Calls

2 calls:

22.0ms	(/ (- y) (- a z))
1.0ms	(fma (/ (- y) (- a z)) (- z t) x)

series351.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- y) (- a z))
306.0ms	(fma (/ (- y) (- a z)) (- z t) x)

simplify3.4s

Counts

99 → 99

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	149	1191
1	298	1133
2	653	1089
3	1508	1087
4	4091	1086
done	5000	1086

prune443.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.9b	(/ 1 (/ (- z a) y))
1.8b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`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×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

41.0ms	(/ (- z a) y)
35.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series337.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- z a) y)
129.0ms	(/ 1 (/ (- z a) y))
163.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify2.7s

Counts

161 → 161

Iterations

Useful iterations: 3 (892.0ms)

Iter	Nodes	Cost
0	210	2152
1	450	1827
2	892	1582
3	2173	1552
done	5000	1552

prune591.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

30.0ms	(/ (- z a) y)
49.0ms	(/ (- z t) (/ (- z a) y))

series253.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- z a) y)
209.0ms	(/ (- z t) (/ (- z a) y))

simplify1.7s

Counts

185 → 185

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	251	3162
1	691	2968
2	2282	2866
done	5000	2864

prune761.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	13
1	17	11
done	17	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

544.0ms	8761×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid