Details

sample116.0ms

Algorithm

intervals

Results

79.0ms	84×	body	10240	exit
21.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-inv`

Counts

2 → 48

Calls

2 calls:

37.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp a) (exp b))
59.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
4	2943
3	1099
2	475
1	179
0	82

prune221.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.0b	(- a (log (+ (exp a) (exp b))))
4.2b	(log (+ (exp a) (exp b)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
13×	`add-log-exp`
12×	`add-sqr-sqrt` `log-prod`
8×	`add-cube-cbrt` `associate--r+`
7×	`pow1`
6×	`log-div` `exp-prod`
5×	`exp-diff` `add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `diff-log` `exp-sum` `flip-+` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `rem-exp-log`
2×	`sub-neg` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3--` `rem-log-exp` `flip--`

Counts

4 → 78

Calls

4 calls:

27.0ms	(exp (- a (log (+ (exp a) (exp b)))))
9.0ms	(+ (exp a) (exp b))
15.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(exp (- a (log (+ (exp a) (exp b)))))
29.0ms	(+ (exp a) (exp b))
58.0ms	(- a (log (+ (exp a) (exp b))))
47.0ms	(log (+ (exp a) (exp b)))

simplify1.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5010
3	2332
2	690
1	258
0	117

prune443.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp a))
0.0b	(* (cbrt (exp a)) (cbrt (exp a)))
0.5b	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
0.8b	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
92×	`cbrt-prod`
86×	`*-un-lft-identity`
66×	`times-frac`
57×	`add-cube-cbrt`
47×	`unswap-sqr`
46×	`add-cbrt-cube`
42×	`associate-r`
39×	`associate-l`
31×	`cbrt-unprod`
20×	`add-exp-log`
18×	`swap-sqr`
16×	`pow1`
14×	`distribute-lft-out`
13×	`associate-r/` `associate-/l`
12×	`cbrt-undiv`
8×	`associate-/r*`
7×	`pow1/3` `prod-exp`
6×	`*-commutative`
5×	`pow-prod-down`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`clear-num` `div-exp`
2×	`frac-2neg` `flip3-+` `pow-sqr` `un-div-inv` `pow-prod-up` `flip-+` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 235

Calls

4 calls:

2.0ms	(cbrt (exp a))
21.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
188.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
40.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (exp a))
129.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
53.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
73.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

simplify2.6s

Counts

247 → 247

Iterations

Iter	Nodes
done	5013
2	2683
1	774
0	235

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
16×	`distribute-lft-out--`
15×	`add-sqr-sqrt`
11×	`exp-prod`
9×	`add-log-exp`
8×	`pow1` `associate-l`
6×	`log-prod` `log-pow` `associate--r+`
5×	`add-cube-cbrt`
4×	`exp-diff` `diff-log` `difference-of-squares`
3×	`rem-exp-log`
2×	`sub-neg` `add-cbrt-cube` `exp-sum` `add-exp-log` `insert-posit16` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 53

Calls

2 calls:

181.0ms	(- (* (- a b) 1/2) (log 2))
337.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* (- a b) 1/2) (log 2))
81.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify1.7s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	1517
2	492
1	194
0	85

prune189.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes171.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.1s	3251×	body	10240	exit
616.0ms	8000×	body	80	valid