Details

sample139.0ms

Algorithm

intervals

Results

91.0ms	131×	body	10240	exit
24.0ms	256×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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))
42.0ms	(/ (exp a) (+ (exp a) (exp b)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp a) (exp b))
83.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.0s

Counts

58 → 58

Iterations

Useful iterations: 4 (713.0ms)

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

prune184.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.3b	(- a (log (+ (exp a) (exp b))))
4.0b	(log (+ (exp a) (exp b)))

rewrite124.0ms

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:

41.0ms	(exp (- a (log (+ (exp a) (exp b)))))
22.0ms	(+ (exp a) (exp b))
37.0ms	(- a (log (+ (exp a) (exp b))))
17.0ms	(log (+ (exp a) (exp b)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(exp (- a (log (+ (exp a) (exp b)))))
22.0ms	(+ (exp a) (exp b))
44.0ms	(- a (log (+ (exp a) (exp b))))
69.0ms	(log (+ (exp a) (exp b)))

simplify3.1s

Counts

118 → 118

Iterations

Useful iterations: done (3.1s)

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

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))
0.9b	(/ (+ (exp b) (exp a)) (exp a))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 142

Calls

3 calls:

11.0ms	(+ (exp b) (exp a))
28.0ms	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))
37.0ms	(/ (+ (exp b) (exp a)) (exp a))

series150.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp b) (exp a))
60.0ms	(/ 1 (/ (+ (exp b) (exp a)) (exp a)))
64.0ms	(/ (+ (exp b) (exp a)) (exp a))

simplify4.4s

Counts

151 → 151

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	180	2369
1	400	2067
2	885	1864
3	2133	1832
done	5001	1755

prune454.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `add-cube-cbrt` `exp-sum`
24×	`log-prod`
21×	`times-frac`
14×	`fma-def`
9×	`prod-diff`
8×	`pow1` `exp-prod`
7×	`associate-/r*` `distribute-lft-out`
6×	`add-exp-log` `log-div` `add-cbrt-cube` `add-log-exp`
5×	`pow-flip`
4×	`expm1-log1p-u` `flip3-+` `exp-diff` `flip-+` `log1p-expm1-u`
3×	`log-pow` `associate-/l*`
2×	`div-exp` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `frac-2neg` `1-exp` `rem-log-exp` `clear-num` `sum-log` `div-inv` `rem-exp-log` `inv-pow`

Counts

4 → 120

Calls

4 calls:

59.0ms	(exp (log (+ (exp (- b a)) 1)))
72.0ms	(+ (exp (- b a)) 1)
115.0ms	(/ 1 (exp (log (+ (exp (- b a)) 1))))
44.0ms	(log (+ (exp (- b a)) 1))

series114.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (log (+ (exp (- b a)) 1)))
18.0ms	(+ (exp (- b a)) 1)
27.0ms	(/ 1 (exp (log (+ (exp (- b a)) 1))))
50.0ms	(log (+ (exp (- b a)) 1))

simplify3.6s

Counts

132 → 132

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	138	1598
1	253	1180
2	474	1035
3	1056	1016
4	2923	1005
done	5000	989

prune417.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
done	7	7

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.5s	3442×	body	10240	exit
362.0ms	8000×	body	80	valid