Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
7.0ms	288×	pre	80	false
6.0ms	256×	pre	80	true

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	47	11
3	100	11
4	319	11
5	1555	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
16.9b	(/ (- (* a a) (* b b)) (* a a))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `sqrt-prod`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv`

Counts

2 → 39

Calls

2 calls:

2.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
46.0ms	(/ (- (* a a) (* b b)) (* a a))

series143.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
104.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify1.0s

Counts

45 → 45

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	80	713
1	226	668
2	1385	539
done	5000	531

prune140.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (+ a b) a)
0.0b	(* (/ (+ a b) a) (/ (- a b) a))
0.0b	(/ (- a b) a)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 143

Calls

4 calls:

1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
31.0ms	(/ (+ a b) a)
72.0ms	(* (/ (+ a b) a) (/ (- a b) a))
26.0ms	(/ (- a b) a)

series181.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
35.0ms	(/ (+ a b) a)
83.0ms	(* (/ (+ a b) a) (/ (- a b) a))
40.0ms	(/ (- a b) a)

simplify3.4s

Counts

155 → 155

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	184	1937
1	533	1851
2	3608	1699
done	5001	1697

prune544.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (+ a b) a) (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a)))) (cbrt (/ (- a b) a)))
0.0b	(cbrt (/ (- a b) a))
0.0b	(cbrt (/ (- a b) a))
0.0b	(cbrt (/ (- a b) a))

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

76×	`cbrt-prod`
65×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
41×	`add-cube-cbrt`
27×	`cbrt-div`
22×	`add-exp-log` `associate-r`
17×	`frac-times`
13×	`pow1` `associate-*l/` `add-cbrt-cube`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-*r/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`div-inv` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp`
1×	`associate-l` `*-commutative`

Counts

4 → 143

Calls

4 calls:

357.0ms	(* (* (/ (+ a b) a) (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a)))) (cbrt (/ (- a b) a)))
5.0ms	(cbrt (/ (- a b) a))
6.0ms	(cbrt (/ (- a b) a))
5.0ms	(cbrt (/ (- a b) a))

series1.2s

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* (/ (+ a b) a) (* (cbrt (/ (- a b) a)) (cbrt (/ (- a b) a)))) (cbrt (/ (- a b) a)))
342.0ms	(cbrt (/ (- a b) a))
377.0ms	(cbrt (/ (- a b) a))
348.0ms	(cbrt (/ (- a b) a))

simplify2.1s

Counts

155 → 155

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	183	2961
1	497	2867
2	2695	2436
done	5001	2284

prune866.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes161.0ms

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	9	13
1	11	13
done	11	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

423.0ms	8000×	body	80	valid
170.0ms	8000×	pre	80	true
160.0ms	7889×	pre	80	false