Details

sample59.0ms

Algorithm

intervals

Results

43.0ms	110×	body	10240	exit
6.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+ (exp a) (exp b))
10.0ms	(/ (exp a) (+ (exp a) (exp b)))

series58.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify1.9s

Counts

58 → 58

Iterations

Useful iterations: 4 (478.0ms)

Iter	Nodes	Cost
0	82	646
1	172	616
2	378	586
3	815	575
4	1956	574
done	5000	574

prune135.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.7b	(- a (log (+ (exp a) (exp b))))
3.0b	(log (+ (exp a) (exp b)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 106

Calls

4 calls:

14.0ms	(exp (- a (log (+ (exp a) (exp b)))))
5.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
5.0ms	(log (+ (exp a) (exp b)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(exp (- a (log (+ (exp a) (exp b)))))
22.0ms	(+ (exp a) (exp b))
33.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify1.5s

Counts

118 → 118

Iterations

Useful iterations: 3 (481.0ms)

Iter	Nodes	Cost
0	149	2147
1	309	1610
2	678	1278
3	1883	1140
done	5000	1140

prune262.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(+ (exp a) (exp b))
0.7b	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
1.5b	(/ (exp a) (sqrt (+ (exp a) (exp b))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
224×	`sqrt-prod`
190×	`add-sqr-sqrt` `add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
20×	`sqrt-div` `associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-cbrt-cube`
10×	`div-inv`
9×	`add-exp-log`
8×	`add-log-exp`
6×	`fma-def`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`+-commutative` `frac-2neg` `clear-num` `sum-log`
1×	`associate-/l/`

Counts

4 → 323

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
5.0ms	(+ (exp a) (exp b))
35.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
11.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp a) (exp b))
19.0ms	(+ (exp a) (exp b))
34.0ms	(/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))
72.0ms	(/ (exp a) (sqrt (+ (exp a) (exp b))))

simplify2.0s

Counts

335 → 335

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	318	9112
1	710	8037
2	1560	7343
3	3935	7060
done	5000	7060

prune571.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (- (* 1/2 (- a b)) (log 2)))
0.0b	(- (* 1/2 (- a b)) (log 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

44×	`prod-diff` `associate--l+`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`exp-sum`
22×	`distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg`
5×	`add-log-exp`
4×	`pow1`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`add-exp-log` `expm1-log1p-u` `diff-log` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log`
1×	`flip3--` `exp-diff` `fma-neg` `flip--`

Counts

2 → 87

Calls

2 calls:

26.0ms	(exp (- (* 1/2 (- a b)) (log 2)))
10.0ms	(- (* 1/2 (- a b)) (log 2))

series90.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(exp (- (* 1/2 (- a b)) (log 2)))
37.0ms	(- (* 1/2 (- a b)) (log 2))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (708.0ms)

Iter	Nodes	Cost
0	179	1650
1	360	1232
2	809	964
3	2742	808
done	5000	808

prune175.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes80.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	9	16
done	9	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3529×	body	10240	exit
183.0ms	8000×	body	80	valid