Details

sample229.0ms

Algorithm

intervals

Results

83.0ms	256×	body	80	valid
48.0ms	285×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (499.0ms)

Iter	Nodes	Cost
0	28	33
1	50	33
2	108	32
3	388	32
4	1923	31
done	5002	31

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ (/ 2.0 t) 3.0)
0.9b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.9b	(/ (* z (sqrt (+ t a))) t)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
7×	`associate-r`
6×	`pow1` `associate-/r*` `div-inv`
5×	`cbrt-undiv` `div-exp` `sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/l/`
2×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `fma-udef` `distribute-lft-out`

Counts

4 → 134

Calls

4 calls:

41.0ms	(* z (sqrt (+ t a)))
32.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
27.0ms	(/ (* z (sqrt (+ t a))) t)

series579.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* z (sqrt (+ t a)))
30.0ms	(/ (/ 2.0 t) 3.0)
305.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
134.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.3s

Counts

146 → 146

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	319	1876
1	780	1756
2	3331	1636
done	5002	1622

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.9b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.5b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
25×	`add-exp-log`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 125

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
1.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
158.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

386.0ms	(cbrt t)
378.0ms	(cbrt t)
431.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
202.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify5.1s

Counts

137 → 137

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	245	2460
1	733	2317
2	4717	1868
done	5000	1865

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.0b	(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.2b	(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.3b	(- (/ b t) (/ c t))

rewrite994.0ms

Algorithm

rewrite-expression-head

Rules

1667×	`times-frac`
1320×	`add-sqr-sqrt`
1310×	`*-un-lft-identity`
1294×	`add-cube-cbrt`
1185×	`prod-diff`
684×	`associate--l+`
513×	`distribute-rgt-in` `distribute-lft-in`
345×	`unpow-prod-up`
187×	`div-inv`
14×	`fma-neg`
12×	`associate-r`
9×	`sub-neg`
8×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `associate-*r/` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-out--` `diff-log` `frac-sub` `sub-div`
1×	`pow-to-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `pow-sub` `unswap-sqr` `sqr-pow`

Counts

4 → 1308

Calls

4 calls:

191.0ms	(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
168.0ms	(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
238.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
75.0ms	(- (/ b t) (/ c t))

series388.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
80.0ms	(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
90.0ms	(* 0.6666666666666666 (- (/ b t) (/ c t)))
49.0ms	(- (/ b t) (/ c t))

simplify4.4s

Counts

1320 → 1320

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	1201	55140
1	3783	49116
done	5002	42386

prune15.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes937.0ms

Accuracy

0% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.4b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	38
1	32	38
done	32	38

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.3s	7962×	body	80	nan
2.1s	8000×	body	80	valid