Details

sample49.0ms

Algorithm

intervals

Results

32.0ms	88×	body	10240	exit
5.0ms	256×	body	80	valid

simplify2.0ms

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: 0.8b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

10.0ms	(+ (exp a) (exp b))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.2s

Counts

58 → 58

Iterations

Useful iterations: 4 (550.0ms)

Iter	Nodes	Cost
0	82	646
1	172	616
2	403	576
3	798	575
4	2080	574
done	5000	574

prune139.0ms

Pruning

5 alts after pruning (5 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))
0.6b	(- a (log (+ (exp a) (exp b))))
2.9b	(log (+ (exp a) (exp b)))

rewrite60.0ms

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:

23.0ms	(exp (- a (log (+ (exp a) (exp b)))))
10.0ms	(+ (exp a) (exp b))
14.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(exp (- a (log (+ (exp a) (exp b)))))
27.0ms	(+ (exp a) (exp b))
35.0ms	(- a (log (+ (exp a) (exp b))))
36.0ms	(log (+ (exp a) (exp b)))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	149	2147
1	310	1610
2	692	1278
3	1851	1056
done	5000	1030

prune243.0ms

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) (exp b))
0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
31×	`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×	`expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`log-prod` `fma-def` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 112

Calls

4 calls:

10.0ms	(+ (exp a) (exp b))
34.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
39.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp a) (exp b))
54.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
35.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
39.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify2.4s

Counts

124 → 124

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	141	1440
1	249	1310
2	535	1224
3	1046	1219
4	2507	1217
done	5000	1216

prune320.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

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` `unpow-prod-down` `exp-prod` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `associate-/r*` `associate-/r/` `log1p-expm1-u`
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` `pow-flip` `frac-2neg` `1-exp` `clear-num` `log-pow` `rem-exp-log` `inv-pow`

Counts

4 → 109

Calls

4 calls:

4.0ms	(exp (exp a))
5.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
19.0ms	(/ 1 (+ (exp a) (exp b)))
19.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(exp (exp a))
76.0ms	(log (pow (exp (exp a)) (/ 1 (+ (exp a) (exp b)))))
27.0ms	(/ 1 (+ (exp a) (exp b)))
77.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

simplify1.3s

Counts

121 → 121

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	156	1491
1	338	1297
2	762	1151
3	1882	1131
done	5000	1121

prune271.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes106.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3336×	body	10240	exit
182.0ms	8000×	body	80	valid