Details

sample84.0ms

Algorithm

intervals

Results

54.0ms	100×	body	10240	exit
12.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite60.0ms

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` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
38.0ms	(/ (exp a) (+ (exp a) (exp b)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp a) (exp b))
74.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.7s

Counts

51 → 51

Iterations

Useful iterations: 3 (645.0ms)

Iter	Nodes	Cost
0	78	616
1	164	587
2	382	548
3	730	546
4	1872	546
done	5000	546

prune132.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)))))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite146.0ms

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×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

20.0ms	(+ (exp a) (exp b))
54.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
38.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
26.0ms	(/ (exp a) (+ (exp a) (exp b)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (exp a) (exp b))
78.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
46.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
53.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.6s

Counts

113 → 113

Iterations

Useful iterations: 4 (902.0ms)

Iter	Nodes	Cost
0	133	1368
1	237	1244
2	506	1159
3	934	1153
4	2182	1152
done	5001	1152

prune415.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (* (+ 1 (* 1/4 (- a b))) (exp 1/2)))
0.1b	(* (+ 1 (* 1/4 (- a b))) (exp 1/2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`add-sqr-sqrt`
5×	`add-exp-log`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-l/` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`log-div` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `flip-+` `add-log-exp`
1×	`log-prod` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

26.0ms	(log (* (+ 1 (* 1/4 (- a b))) (exp 1/2)))
26.0ms	(* (+ 1 (* 1/4 (- a b))) (exp 1/2))

series230.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(log (* (+ 1 (* 1/4 (- a b))) (exp 1/2)))
89.0ms	(* (+ 1 (* 1/4 (- a b))) (exp 1/2))

simplify2.1s

Counts

40 → 40

Iterations

Useful iterations: 3 (981.0ms)

Iter	Nodes	Cost
0	95	609
1	243	552
2	716	484
3	2625	475
done	5000	475

prune156.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ (log (+ 1 (* 1/4 (- a b)))) 1/2))
0.2b	(exp (log (+ (log (+ 1 (* 1/4 (- a b)))) 1/2)))
6.2b	(log (+ 1 (* 1/4 (- a b))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`log-prod` `*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`log-div`
5×	`add-exp-log` `exp-sum` `log-pow`
4×	`exp-prod` `distribute-lft-out`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`exp-diff` `rem-log-exp`
1×	`rem-exp-log`

Counts

3 → 49

Calls

3 calls:

11.0ms	(log (+ (log (+ 1 (* 1/4 (- a b)))) 1/2))
10.0ms	(exp (log (+ (log (+ 1 (* 1/4 (- a b)))) 1/2)))
4.0ms	(log (+ 1 (* 1/4 (- a b))))

series559.0ms

Counts

3 → 9

Calls

3 calls:

407.0ms	(log (+ (log (+ 1 (* 1/4 (- a b)))) 1/2))
80.0ms	(exp (log (+ (log (+ 1 (* 1/4 (- a b)))) 1/2)))
72.0ms	(log (+ 1 (* 1/4 (- a b))))

simplify2.0s

Counts

58 → 58

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	156	1139
1	358	1005
2	904	919
3	3095	897
done	5000	893

prune246.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes122.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.5s	3493×	body	10240	exit
454.0ms	8000×	body	80	valid