Details

sample75.0ms

Algorithm

intervals

Results

51.0ms	84×	body	10240	exit
14.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
35.0ms	(/ (exp a) (+ (exp a) (exp b)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp a) (exp b))
65.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify4.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5030
4	2517
3	1039
2	503
1	186
0	84

prune254.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.0b	(- a (log (+ (exp a) (exp b))))
4.2b	(log (+ (exp a) (exp b)))

rewrite71.0ms

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-+` `insert-posit16` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `difference-of-squares` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

4 → 110

Calls

4 calls:

22.0ms	(exp (- a (log (+ (exp a) (exp b)))))
17.0ms	(+ (exp a) (exp b))
23.0ms	(- a (log (+ (exp a) (exp b))))
7.0ms	(log (+ (exp a) (exp b)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(exp (- a (log (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
37.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))

simplify2.1s

Counts

122 → 122

Iterations

Iter	Nodes
done	5011
3	2566
2	820
1	332
0	153

prune542.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp a))
0.0b	(* (cbrt (exp a)) (cbrt (exp a)))
0.5b	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
0.8b	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
50×	`times-frac`
47×	`cbrt-prod`
45×	`add-cube-cbrt`
36×	`associate-r`
20×	`add-exp-log`
16×	`pow1`
13×	`distribute-lft-out`
11×	`add-cbrt-cube`
7×	`pow1/3` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`swap-sqr` `associate-/l*`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`flip3-+` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `div-inv`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `associate-*r/`

Counts

4 → 164

Calls

4 calls:

2.0ms	(cbrt (exp a))
13.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
93.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
37.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (exp a))
125.0ms	(* (cbrt (exp a)) (cbrt (exp a)))
48.0ms	(* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))
105.0ms	(/ (cbrt (exp a)) (+ (exp a) (exp b)))

simplify2.2s

Counts

176 → 176

Iterations

Iter	Nodes
done	5002
2	1572
1	519
0	191

prune679.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

8×	`prod-diff`
6×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow1`
3×	`log-prod` `exp-prod` `associate--r+`
2×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `diff-log` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
1×	`flip3--` `exp-diff` `fma-neg` `flip--`

Counts

2 → 45

Calls

2 calls:

30.0ms	(- (* (- a b) 1/2) (log 2))
70.0ms	(exp (- (* (- a b) 1/2) (log 2)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (* (- a b) 1/2) (log 2))
88.0ms	(exp (- (* (- a b) 1/2) (log 2)))

simplify1.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
3	1661
2	573
1	221
0	94

prune175.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.1s	3251×	body	10240	exit
597.0ms	8000×	body	80	valid