Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true
3.0ms	265×	pre	80	false

simplify10.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	48	11
3	111	11
4	255	11
5	690	11
6	3466	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (/ (* b b) (* a a)))
0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
33.6b	(/ (* b b) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-exp-log` `prod-diff` `add-cbrt-cube`
13×	`add-cube-cbrt`
6×	`times-frac`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `difference-of-squares`
3×	`expm1-log1p-u` `fma-neg` `sqrt-prod` `log1p-expm1-u`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

3 → 75

Calls

3 calls:

6.0ms	(- 1 (/ (* b b) (* a a)))
1.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
5.0ms	(/ (* b b) (* a a))

series77.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- 1 (/ (* b b) (* a a)))
14.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
29.0ms	(/ (* b b) (* a a))

simplify790.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	135	1601
1	331	1231
2	1382	955
done	5001	955

prune151.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ b a) b)
0.2b	(pow (/ (* (/ b a) b) a) 3)
15.7b	(/ (* (/ b a) b) a)
33.7b	(cbrt (pow (/ (* (/ b a) b) a) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`add-exp-log` `add-cbrt-cube`
25×	`times-frac`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
13×	`associate-l`
9×	`cbrt-undiv` `div-exp`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp` `rem-cube-cbrt`
3×	`pow-unpow` `associate-r` `associate-/r*`
2×	`cube-div` `cube-mult` `unpow3` `associate-*l/` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l/` `associate-/l`

Counts

4 → 132

Calls

4 calls:

8.0ms	(* (/ b a) b)
6.0ms	(pow (/ (* (/ b a) b) a) 3)
5.0ms	(/ (* (/ b a) b) a)
5.0ms	(cbrt (pow (/ (* (/ b a) b) a) 3))

series133.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ b a) b)
63.0ms	(pow (/ (* (/ b a) b) a) 3)
25.0ms	(/ (* (/ b a) b) a)
26.0ms	(cbrt (pow (/ (* (/ b a) b) a) 3))

simplify1.1s

Counts

144 → 144

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	160	1660
1	423	1367
2	2110	1143
done	5000	1143

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (log (exp (/ (* (/ b a) b) a))) 3))
0.2b	(* (/ b a) b)
3.5b	(log (exp (/ (* (/ b a) b) a)))
15.7b	(/ (* (/ b a) b) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`cbrt-prod`
24×	`add-cube-cbrt` `*-un-lft-identity` `log-pow`
22×	`times-frac`
21×	`exp-prod`
18×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
11×	`unpow-prod-down` `cube-prod`
9×	`pow1`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`associate-*l/` `unswap-sqr`
1×	`cube-mult` `frac-2neg` `pow1/3` `unpow3` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l/` `associate-/l` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

6.0ms	(cbrt (pow (log (exp (/ (* (/ b a) b) a))) 3))
8.0ms	(* (/ b a) b)
3.0ms	(log (exp (/ (* (/ b a) b) a)))
5.0ms	(/ (* (/ b a) b) a)

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (pow (log (exp (/ (* (/ b a) b) a))) 3))
18.0ms	(* (/ b a) b)
29.0ms	(log (exp (/ (* (/ b a) b) a)))
25.0ms	(/ (* (/ b a) b) a)

simplify879.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	179	1668
1	439	1229
2	1738	1033
done	5001	1033

prune351.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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	14	16
1	17	16
done	17	16

end0.0ms

sample634.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
100.0ms	8000×	pre	80	true
97.0ms	7960×	pre	80	false