Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	92
5	92
4	91
3	71
2	40
1	18
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(* a (+ (+ b c) d))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

85.0ms

(* a (+ (+ b c) d))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* a (+ (+ b c) d))

simplify2.3s

Counts

29 → 29

Iterations

Iter	Nodes
done	5000
3	3949
2	667
1	165
0	54

prune158.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ b c) a) (* d a))
0.0b	(* (+ b c) a)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

16.0ms	(+ (* (+ b c) a) (* d a))
24.0ms	(* (+ b c) a)

series64.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* (+ b c) a) (* d a))
24.0ms	(* (+ b c) a)

simplify2.6s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
3	3710
2	773
1	210
0	73

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ b c) a)
0.1b	(sqrt (* (+ b c) a))
0.1b	(sqrt (* (+ b c) a))
0.5b	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3-+` `flip-+`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

17.0ms	(* (+ b c) a)
7.0ms	(sqrt (* (+ b c) a))
6.0ms	(sqrt (* (+ b c) a))
49.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ b c) a)
100.0ms	(sqrt (* (+ b c) a))
99.0ms	(sqrt (* (+ b c) a))
26.0ms	(* (sqrt (* (+ b c) a)) (sqrt (* (+ b c) a)))

simplify2.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5008
3	2679
2	765
1	311
0	128

prune505.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* (+ b c) a)))
0.1b	(sqrt (sqrt (* (+ b c) a)))
0.3b	(* (sqrt (* (+ b c) a)) (sqrt (sqrt (* (+ b c) a))))
0.4b	(* (* (sqrt (* (+ b c) a)) (sqrt (sqrt (* (+ b c) a)))) (sqrt (sqrt (* (+ b c) a))))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

156×	`sqrt-pow1`
142×	`pow1`
116×	`sqrt-div`
86×	`associate-*l/`
74×	`pow-prod-up`
50×	`pow-prod-down`
47×	`pow1/2`
35×	`flip3-+` `flip-+`
32×	`frac-times`
22×	`sqrt-prod`
20×	`add-sqr-sqrt`
14×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod` `pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 179

Calls

4 calls:

7.0ms	(sqrt (sqrt (* (+ b c) a)))
8.0ms	(sqrt (sqrt (* (+ b c) a)))
58.0ms	(* (sqrt (* (+ b c) a)) (sqrt (sqrt (* (+ b c) a))))
268.0ms	(* (* (sqrt (* (+ b c) a)) (sqrt (sqrt (* (+ b c) a)))) (sqrt (sqrt (* (+ b c) a))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (sqrt (* (+ b c) a)))
105.0ms	(sqrt (sqrt (* (+ b c) a)))
166.0ms	(* (sqrt (* (+ b c) a)) (sqrt (sqrt (* (+ b c) a))))
25.0ms	(* (* (sqrt (* (+ b c) a)) (sqrt (sqrt (* (+ b c) a)))) (sqrt (sqrt (* (+ b c) a))))

simplify1.5s

Counts

191 → 191

Iterations

Iter	Nodes
done	5002
2	1574
1	616
0	239

prune976.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes398.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

285.0ms	8000×	body	80	valid
274.0ms	8000×	pre	80	true