Details

sample113.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
26.0ms	255×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (276.0ms)

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ (/ 2.0 t) 3.0)
1.1b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
4.8b	(/ (* z (sqrt (+ t a))) t)

rewrite95.0ms

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:

44.0ms	(* z (sqrt (+ t a)))
18.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
24.0ms	(/ (* z (sqrt (+ t a))) t)

series489.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* z (sqrt (+ t a)))
27.0ms	(/ (/ 2.0 t) 3.0)
249.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
110.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.5s

Counts

146 → 146

Iterations

Useful iterations: done (1.5s)

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

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.1b	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite109.0ms

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:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
100.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series916.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt t)
241.0ms	(cbrt t)
285.0ms	(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
143.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.3s

Counts

137 → 137

Iterations

Useful iterations: done (3.3s)

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

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.1b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b	(/ (* z (sqrt (+ t a))) t)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 179

Calls

4 calls:

39.0ms	(* z (sqrt (+ t a)))
14.0ms	(/ 2.0 (* t 3.0))
90.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms	(/ (* z (sqrt (+ t a))) t)

series498.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* z (sqrt (+ t a)))
26.0ms	(/ 2.0 (* t 3.0))
284.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
103.0ms	(/ (* z (sqrt (+ t a))) t)

simplify685.0ms

Counts

191 → 191

Iterations

Useful iterations: done (673.0ms)

Iter	Nodes	Cost
0	485	5298
1	1406	4885
done	5001	4487

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
0.0b	(* c (+ a 0.8333333333333334))
0.0b	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.8b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

20×	`exp-sum`
17×	`associate-r`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `associate--l+`
8×	`pow1` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`associate-l`
5×	`sub-neg` `prod-diff`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`exp-prod` `flip3--` `exp-to-pow` `flip3-+` `fma-neg` `diff-log` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

55.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
36.0ms	(* c (+ a 0.8333333333333334))
42.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
16.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series242.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
38.0ms	(* c (+ a 0.8333333333333334))
40.0ms	(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
46.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify929.0ms

Counts

107 → 107

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	171	1361
1	425	1307
2	1586	1196
done	5001	1194

prune707.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (1.0b remaining)

Error of 1.6b against oracle of 0.6b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
1.6s	7957×	body	80	nan