Details

sample126.0ms

Algorithm

intervals

Results

87.0ms	117×	body	10240	exit
22.0ms	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: 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)))

rewrite51.0ms

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))
27.0ms	(/ (exp a) (+ (exp a) (exp b)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp a) (exp b))
91.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.7s

Counts

58 → 58

Iterations

Useful iterations: 4 (930.0ms)

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

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
2.1b	(log (+ (exp a) (exp b)))

rewrite101.0ms

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:

22.0ms	(+ (exp a) (exp b))
21.0ms	(exp (- a (log (+ (exp a) (exp b)))))
32.0ms	(- a (log (+ (exp a) (exp b))))
18.0ms	(log (+ (exp a) (exp b)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp a) (exp b))
101.0ms	(exp (- a (log (+ (exp a) (exp b)))))
48.0ms	(- a (log (+ (exp a) (exp b))))
46.0ms	(log (+ (exp a) (exp b)))

simplify2.5s

Counts

118 → 118

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	149	2147
1	310	1610
2	691	1278
3	1850	1056
done	5001	1030

prune309.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (exp a) (exp b))
1.0b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
1.0b	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
3.0b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite668.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
55×	`times-frac`
41×	`add-sqr-sqrt`
36×	`associate-l`
35×	`distribute-lft-out`
34×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
13×	`add-cbrt-cube`
9×	`add-exp-log` `associate-/r*`
8×	`pow1`
7×	`sum-cubes`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `exp-prod` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `associate-*l/` `clear-num` `pow-prod-up` `flip--`

Counts

4 → 153

Calls

4 calls:

18.0ms	(* (exp a) (exp b))
91.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
518.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
34.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (exp a) (exp b))
100.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
213.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
80.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify2.3s

Counts

165 → 165

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	221	3863
1	668	3274
2	2912	2975
done	5001	2941

prune821.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma b -1/4 (fma 1/4 a 1/2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma b -1/4 (fma 1/4 a 1/2))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma b -1/4 (fma 1/4 a 1/2))

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 4 (528.0ms)

Iter	Nodes	Cost
0	21	126
1	31	123
2	71	106
3	316	106
4	1855	93
done	5001	93

prune42.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.9s	3357×	body	10240	exit
495.0ms	8000×	body	80	valid