Details

sample71.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
15.0ms	249×	body	80	nan

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	17
1	108	17
2	389	17
3	1761	17
4	5002	17
done	5002	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
3.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.6b	(/ (* z (sqrt (+ t a))) t)

rewrite119.0ms

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:

9.0ms	(/ 2.0 (* t 3.0))
22.0ms	(* z (sqrt (+ t a)))
65.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms	(/ (* z (sqrt (+ t a))) t)

series351.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
64.0ms	(* z (sqrt (+ t a)))
187.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms	(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Counts

191 → 191

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324
done	5001	2324

prune921.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
3.6b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
56×	`prod-diff`
54×	`add-cube-cbrt`
48×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
19×	`distribute-lft-out`
16×	`sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv` `associate-/l*`
8×	`frac-times` `flip3--` `flip--`
6×	`pow1` `associate-r` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `associate-r/` `associate-/r` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

219.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
15.0ms	(/ (sqrt (+ t a)) t)
8.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
57.0ms	(/ (sqrt (+ t a)) t)
21.0ms	(/ 2.0 (* t 3.0))
223.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify101.0ms

Counts

193 → 193

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	894	2691
1	4023	2163
2	5002	2158
done	5002	2158

prune770.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
3.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
7.6b	(/ (* z (sqrt (+ t a))) t)
43.2b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

206×	`*-un-lft-identity`
191×	`prod-diff`
190×	`associate--r+`
180×	`cbrt-prod`
116×	`add-sqr-sqrt`
112×	`add-cube-cbrt`
95×	`distribute-rgt-in` `distribute-lft-in`
63×	`unpow-prod-down` `times-frac` `cube-prod`
47×	`distribute-lft-out`
21×	`div-inv`
20×	`frac-sub`
11×	`add-exp-log` `add-cbrt-cube`
9×	`cube-mult` `flip3--` `unpow3` `flip--` `sqr-pow`
8×	`frac-times` `associate-*r/`
7×	`cube-div` `cbrt-div` `fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`sub-neg` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `pow1/3` `diff-log` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l`

Counts

4 → 316

Calls

4 calls:

24.0ms	(* z (sqrt (+ t a)))
94.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
15.0ms	(/ (* z (sqrt (+ t a))) t)
10.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series360.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* z (sqrt (+ t a)))
193.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
84.0ms	(/ (* z (sqrt (+ t a))) t)
18.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify75.0ms

Counts

328 → 328

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1729	5626
1	5002	5092
done	5002	5092

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.6b	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (* (- (fma 1 (+ a (/ 5.0 6.0)) (- (/ 2.0 (* t 3.0))))) (- b c)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (* (- (fma 1 (+ a (/ 5.0 6.0)) (- (/ 2.0 (* t 3.0))))) (- b c)))

series874.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt t)
179.0ms	(cbrt t)
180.0ms	(cbrt t)
335.0ms	(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (* (- (fma 1 (+ a (/ 5.0 6.0)) (- (/ 2.0 (* t 3.0))))) (- b c)))

simplify35.0ms

Counts

61 → 61

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	143	383
1	329	332
2	1069	322
3	5001	313
done	5001	313

prune404.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19
done	38	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

540.0ms	8000×	body	80	valid
508.0ms	7995×	body	80	nan