Details

sample207.0ms

Algorithm

intervals

Results

163.0ms	263×	body	10240	exit
18.0ms	203×	body	80	valid
5.0ms	21×	body	320	valid
3.0ms	10×	body	640	valid
3.0ms	23×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	2372
5	596
4	193
3	102
2	50
1	21
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.8b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite174.0ms

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` `insert-posit16` `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 → 168

Calls

4 calls:

9.0ms	(* wj (exp wj))
16.0ms	(+ (exp wj) (* wj (exp wj)))
64.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
83.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* wj (exp wj))
47.0ms	(+ (exp wj) (* wj (exp wj)))
73.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
87.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.2s

Counts

180 → 180

Iterations

Iter	Nodes
2	2326
1	832
0	321

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
5.3b	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
33×	`prod-diff`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`times-frac`
10×	`add-log-exp`
9×	`add-cbrt-cube`
8×	`add-exp-log` `associate-/r/`
7×	`distribute-rgt-out` `distribute-rgt1-in`
6×	`fma-def` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-neg`
2×	`cbrt-undiv` `+-commutative` `sum-log` `div-exp`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `cbrt-unprod` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 121

Calls

4 calls:

8.0ms	(+ (exp wj) (* wj (exp wj)))
11.0ms	(+ (exp wj) (* wj (exp wj)))
32.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
44.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (exp wj) (* wj (exp wj)))
61.0ms	(+ (exp wj) (* wj (exp wj)))
65.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
54.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify4.9s

Counts

133 → 133

Iterations

Iter	Nodes
3	8295
2	1593
1	518
0	199

prune725.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
0.1b	(* (* wj wj) (- (* wj wj) wj))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
15×	`times-frac`
12×	`prod-diff`
11×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`pow1`
8×	`add-log-exp`
5×	`associate-/r` `distribute-rgt-out` `associate-r*` `distribute-rgt1-in`
4×	`expm1-log1p-u` `sub-neg` `fma-def` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`+-commutative` `sum-log` `associate-*r/` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `distribute-rgt-out--` `div-exp` `associate-l` `*-commutative` `div-inv` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

17.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
8.0ms	(+ (exp wj) (* wj (exp wj)))
11.0ms	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
63.0ms	(* (* wj wj) (- (* wj wj) wj))

series304.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
57.0ms	(+ (exp wj) (* wj (exp wj)))
41.0ms	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
128.0ms	(* (* wj wj) (- (* wj wj) wj))

simplify3.9s

Counts

132 → 132

Iterations

Iter	Nodes
3	5886
2	1654
1	561
0	219

prune910.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	11

end0.0ms

sample9.2s

Algorithm

intervals

Results

7.4s	7821×	body	10240	exit
767.0ms	6279×	body	80	valid
259.0ms	456×	body	640	valid
256.0ms	761×	body	320	valid
115.0ms	582×	body	160	valid