Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	250×	body	80	nan
10.0ms	256×	body	80	valid

simplify148.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	41	13
3	70	13
4	99	13
5	128	13
6	141	13
7	143	13
done	143	13

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 153

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
18.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
26.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
107.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
106.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts

162 → 162

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	250	3612
1	631	3490
2	3038	3298
done	5001	3288

prune553.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
0.0b	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
440×	`add-sqr-sqrt` `*-un-lft-identity`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
32×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 451

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
19.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
50.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
36.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

series409.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
108.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
117.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
129.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

simplify1.2s

Counts

463 → 463

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	617	12916
1	1728	11801
done	5001	11350

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) 6.0))
0.0b	(/ (* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) 6.0)
0.1b	(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))
0.1b	(* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
100×	`times-frac`
86×	`*-un-lft-identity`
60×	`add-cube-cbrt`
54×	`add-exp-log`
41×	`sqrt-prod`
36×	`associate-r`
34×	`add-cbrt-cube`
26×	`div-exp`
15×	`associate-/r*`
14×	`cbrt-undiv`
13×	`distribute-lft-out--` `difference-of-squares`
10×	`prod-exp` `associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-l` `cbrt-unprod` `unswap-sqr`
5×	`associate-/r/`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow-flip` `pow-prod-down` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 209

Calls

4 calls:

53.0ms	(/ 1 (/ (* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) 6.0))
31.0ms	(/ (* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) 6.0)
20.0ms	(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))
65.0ms	(* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ 1 (/ (* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) 6.0))
112.0ms	(/ (* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))) 6.0)
199.0ms	(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))
105.0ms	(* (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0)))

simplify487.0ms

Counts

221 → 221

Iterations

Useful iterations: done (477.0ms)

Iter	Nodes	Cost
0	300	6173
1	808	5723
done	5001	4203

prune626.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (/ 1 6.0))
0.1b	(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

3155×	`times-frac`
1525×	`add-sqr-sqrt` `*-un-lft-identity`
1241×	`add-cube-cbrt`
142×	`distribute-lft-out--` `difference-of-squares`
132×	`div-inv`
110×	`associate-/r/`
100×	`add-exp-log`
78×	`div-exp`
74×	`associate-/l*`
47×	`flip3--` `flip--`
39×	`associate-/r*`
32×	`add-cbrt-cube`
19×	`cbrt-undiv`
17×	`rec-exp` `1-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 1172

Calls

4 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
18.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
81.0ms	(/ (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (/ 1 6.0))
23.0ms	(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
92.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
104.0ms	(/ (/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (/ 1 6.0))
96.0ms	(/ 1 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify819.0ms

Counts

1184 → 1184

Iterations

Useful iterations: done (734.0ms)

Iter	Nodes	Cost
0	1636	43553
done	5001	41342

prune4.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	15	15
done	15	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

557.0ms	8000×	body	80	valid
425.0ms	7835×	body	80	nan