Details

sample118.0ms

Algorithm

intervals

Results

82.0ms	110×	body	10240	exit
14.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize40.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

9.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (exp a) (exp b))
45.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.7s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
4	2545
3	993
2	470
1	176
0	78

prune330.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.1b	(- a (log (+ (exp a) (exp b))))
2.2b	(log (+ (exp a) (exp b)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

21.0ms	(exp (- a (log (+ (exp a) (exp b)))))
8.0ms	(+ (exp a) (exp b))
11.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(exp (- a (log (+ (exp a) (exp b)))))
29.0ms	(+ (exp a) (exp b))
52.0ms	(- a (log (+ (exp a) (exp b))))
46.0ms	(log (+ (exp a) (exp b)))

simplify2.6s

Counts

80 → 80

Iterations

Iter	Nodes
done	5003
4	4237
3	1352
2	546
1	240
0	107

prune407.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`add-cbrt-cube` `associate-/r/`
5×	`pow1` `add-exp-log`
4×	`associate-/r*` `flip3-+` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

7.0ms	(+ (exp a) (exp b))
40.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
40.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (exp a) (exp b))
73.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
46.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
44.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5014
4	2901
3	1330
2	630
1	258
0	133

prune580.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
0.0b	(exp (exp a))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.3b	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`times-frac`
18×	`pow-unpow`
9×	`add-exp-log`
7×	`log-prod` `distribute-lft-out`
6×	`pow1` `exp-prod` `unpow-prod-down` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-/r*` `pow-pow` `associate-/r/`
3×	`rem-log-exp` `associate-/l*`
2×	`pow-to-exp` `flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log-pow` `pow-flip` `inv-pow` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

8.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
6.0ms	(exp (exp a))
34.0ms	(/ 1 (+ (exp a) (exp b)))
24.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
31.0ms	(exp (exp a))
29.0ms	(/ 1 (+ (exp a) (exp b)))
114.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

simplify2.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5112
3	2965
2	965
1	384
0	148

prune660.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes268.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.8s	3409×	body	10240	exit
466.0ms	8000×	body	80	valid