Details

sample145.0ms

Algorithm

intervals

Results

92.0ms	232×	body	10240	exit
12.0ms	191×	body	80	valid
6.0ms	19×	body	640	valid
5.0ms	24×	body	320	valid
3.0ms	22×	body	160	valid

simplify713.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	419
3	115
2	52
1	21
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.8b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
6.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
14×	`distribute-rgt-out` `distribute-rgt1-in`
8×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`fma-def` `fma-neg` `associate-r` `associate-l` `associate-/l*`
2×	`flip3--` `div-sub` `flip--` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 164

Calls

4 calls:

9.0ms	(* wj (exp wj))
14.0ms	(+ (exp wj) (* wj (exp wj)))
38.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
67.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* wj (exp wj))
61.0ms	(+ (exp wj) (* wj (exp wj)))
67.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
72.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify2.1s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	3751
1	852
0	317

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* wj x) -2 (fma wj wj x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (* wj x) -2 (fma wj wj x))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma (* wj x) -2 (fma wj wj x))

simplify949.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	758
2	131
1	45
0	24

prune116.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (* wj x) -2 (fma wj wj x))) (cbrt (fma (* wj x) -2 (fma wj wj x))))
0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))
0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))
0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma (* wj x) -2 (fma wj wj x))) (cbrt (fma (* wj x) -2 (fma wj wj x))))
1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (fma (* wj x) -2 (fma wj wj x))) (cbrt (fma (* wj x) -2 (fma wj wj x))))
243.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
305.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
240.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	762
1	190
0	82

prune534.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))
0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))
0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))
0.6b	(cbrt (fma (* wj x) -2 (fma wj wj x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
1.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))

series968.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
244.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
238.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))
259.0ms	(cbrt (fma (* wj x) -2 (fma wj wj x)))

simplify2.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
4	4715
3	737
2	191
1	75
0	39

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes174.0ms

Accuracy

0% (1.6b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample6.5s

Algorithm

intervals

Results

5.0s	7579×	body	10240	exit
512.0ms	6305×	body	80	valid
142.0ms	795×	body	320	valid
130.0ms	440×	body	640	valid
73.0ms	550×	body	160	valid