Details

sample95.0ms

Algorithm

intervals

Results

67.0ms	107×	body	10240	exit
13.0ms	256×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite76.0ms

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:

22.0ms	(+ (exp a) (exp b))
51.0ms	(/ (exp a) (+ (exp a) (exp b)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp a) (exp b))
48.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.4s

Counts

58 → 58

Iterations

Useful iterations: 4 (926.0ms)

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

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

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))))
2.8b	(log (+ (exp a) (exp b)))

rewrite104.0ms

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:

31.0ms	(exp (- a (log (+ (exp a) (exp b)))))
22.0ms	(+ (exp a) (exp b))
30.0ms	(- a (log (+ (exp a) (exp b))))
17.0ms	(log (+ (exp a) (exp b)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(exp (- a (log (+ (exp a) (exp b)))))
29.0ms	(+ (exp a) (exp b))
63.0ms	(- a (log (+ (exp a) (exp b))))
63.0ms	(log (+ (exp a) (exp b)))

simplify3.0s

Counts

118 → 118

Iterations

Useful iterations: done (3.0s)

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

prune343.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite191.0ms

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:

68.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
21.0ms	(+ (exp a) (exp b))
63.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
31.0ms	(+ (exp a) (exp b))
63.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
57.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.2s

Counts

124 → 124

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	141	1440
1	249	1310
2	535	1224
3	1044	1219
4	2504	1217
done	5002	1216

prune519.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`add-sqr-sqrt`
5×	`add-exp-log`
4×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `fma-udef` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

10.0ms	(log (* (exp 1/2) (fma 1/4 (- a b) 1)))
26.0ms	(* (exp 1/2) (fma 1/4 (- a b) 1))

series247.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(log (* (exp 1/2) (fma 1/4 (- a b) 1)))
91.0ms	(* (exp 1/2) (fma 1/4 (- a b) 1))

simplify1.7s

Counts

42 → 42

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	85	541
1	185	496
2	561	440
3	1558	414
done	5000	413

prune100.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.6b

regimes157.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.9s	3454×	body	10240	exit
466.0ms	8000×	body	80	valid