Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

263×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	84	11
4	198	11
5	385	11
6	609	11
7	913	11
8	1128	11
9	1497	11
10	1552	11
11	1558	11
done	1558	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
8.4b	(/ x (* (- y z) (- y t)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
32×	`associate-/r/`
31×	`flip3--` `flip--`
20×	`frac-times`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `associate-r/` `associate-l/` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

3 → 149

Calls

3 calls:

34.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
58.0ms	(* (- y z) (- y t))
33.0ms	(/ x (* (- y z) (- y t)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
55.0ms	(* (- y z) (- y t))
94.0ms	(/ x (* (- y z) (- y t)))

simplify1.9s

Counts

158 → 158

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	311	5112
1	739	4429
2	2664	3570
done	5000	3420

prune532.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- (pow (cbrt y) 3) t))
0.6b	(cbrt y)
0.8b	(pow (cbrt y) 3)
8.4b	(/ x (+ (* (- y z) (- (pow (cbrt y) 3) t)) (* (- y z) (+ (- t) t))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
102×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
87×	`add-cube-cbrt`
78×	`flip3--` `flip--`
68×	`frac-times`
66×	`associate-/r/`
64×	`frac-add`
56×	`distribute-rgt-in` `distribute-lft-in`
47×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
34×	`associate-r/` `associate-l/`
25×	`flip3-+` `flip-+`
12×	`times-frac`
10×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube` `sqr-pow`
7×	`pow1` `cube-mult` `unpow3` `difference-of-squares`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`sub-neg` `pow-pow` `pow1/3` `distribute-lft-out--`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 293

Calls

4 calls:

136.0ms	(* (- y z) (- (pow (cbrt y) 3) t))
1.0ms	(cbrt y)
7.0ms	(pow (cbrt y) 3)
94.0ms	(/ x (+ (* (- y z) (- (pow (cbrt y) 3) t)) (* (- y z) (+ (- t) t))))

series845.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- y z) (- (pow (cbrt y) 3) t))
247.0ms	(cbrt y)
322.0ms	(pow (cbrt y) 3)
200.0ms	(/ x (+ (* (- y z) (- (pow (cbrt y) 3) t)) (* (- y z) (+ (- t) t))))

simplify980.0ms

Counts

305 → 305

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	615	10234
1	1686	6813
done	5002	6126

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t)))))
0.0b	(/ x (+ (- y t) (+ (- t) t)))
0.0b	(/ 1 (- y z))
1.5b	(* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t))))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

201×	`*-un-lft-identity`
91×	`times-frac`
83×	`add-sqr-sqrt`
70×	`distribute-lft-out`
52×	`add-cube-cbrt`
37×	`associate-r`
32×	`add-exp-log`
28×	`distribute-lft-out--`
21×	`associate-l`
20×	`add-cbrt-cube`
16×	`associate-/r/`
14×	`distribute-rgt-neg-in` `associate-/r*`
11×	`div-exp`
8×	`frac-add` `prod-exp`
7×	`pow1` `flip3--` `flip--` `difference-of-squares`
6×	`cbrt-undiv` `flip3-+` `flip-+` `associate-/l*` `add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `fma-neg` `1-exp` `prod-diff`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 212

Calls

4 calls:

6.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t)))))
88.0ms	(/ x (+ (- y t) (+ (- t) t)))
13.0ms	(/ 1 (- y z))
309.0ms	(* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t)))))
37.0ms	(/ x (+ (- y t) (+ (- t) t)))
42.0ms	(/ 1 (- y z))
156.0ms	(* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t))))

simplify1.8s

Counts

224 → 224

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	269	3860
1	724	3377
2	2346	2894
done	5000	2509

prune685.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (/ (- (/ x (- y z))) (- y t)))
0.0b	(/ x (- y z))
3.0b	(/ (- (/ x (- y z))) (- y t))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

425×	`times-frac`
348×	`add-sqr-sqrt` `*-un-lft-identity`
174×	`add-cube-cbrt`
126×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
87×	`distribute-lft-out--` `difference-of-squares`
49×	`associate-/l*`
28×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`neg-mul-1`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`neg-sub0` `div-sub` `distribute-frac-neg` `fma-udef` `associate-/l/` `distribute-neg-frac`

Counts

3 → 349

Calls

3 calls:

1.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (/ (- (/ x (- y z))) (- y t)))
22.0ms	(/ x (- y z))
71.0ms	(/ (- (/ x (- y z))) (- y t))

series324.0ms

Counts

3 → 9

Calls

3 calls:

208.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (/ (- (/ x (- y z))) (- y t)))
44.0ms	(/ x (- y z))
72.0ms	(/ (- (/ x (- y z))) (- y t))

simplify2.3s

Counts

358 → 358

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	500	7036
1	1135	6630
2	2533	6490
done	5001	6457

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	20	18
done	20	18

end0.0ms

sample935.0ms

Algorithm

intervals

Results

609.0ms

8462×

body

valid