Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

263×

body

valid

simplify4.9s

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

localize11.0ms

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)))

rewrite139.0ms

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:

39.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
59.0ms	(* (- y z) (- y t))
26.0ms	(/ x (* (- y z) (- y t)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
39.0ms	(* (- y z) (- y t))
92.0ms	(/ 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

prune443.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

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))))

rewrite247.0ms

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:

141.0ms	(* (- y z) (- (pow (cbrt y) 3) t))
1.0ms	(cbrt y)
4.0ms	(pow (cbrt y) 3)
74.0ms	(/ x (+ (* (- y z) (- (pow (cbrt y) 3) t)) (* (- y z) (+ (- t) t))))

series903.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- y z) (- (pow (cbrt y) 3) t))
328.0ms	(cbrt y)
312.0ms	(pow (cbrt y) 3)
206.0ms	(/ x (+ (* (- y z) (- (pow (cbrt y) 3) t)) (* (- y z) (+ (- t) t))))

simplify973.0ms

Counts

305 → 305

Iterations

Useful iterations: done (961.0ms)

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

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))))

rewrite356.0ms

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:

12.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t)))))
97.0ms	(/ x (+ (- y t) (+ (- t) t)))
12.0ms	(/ 1 (- y z))
221.0ms	(* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t)))))
41.0ms	(/ x (+ (- y t) (+ (- t) t)))
39.0ms	(/ 1 (- y z))
191.0ms	(* (/ 1 (- y z)) (/ x (+ (- y t) (+ (- t) t))))

simplify1.6s

Counts

224 → 224

Iterations

Useful iterations: done (1.6s)

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

prune695.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

753×	`times-frac`
715×	`add-sqr-sqrt`
708×	`*-un-lft-identity`
402×	`add-cube-cbrt`
333×	`prod-diff`
155×	`difference-of-squares`
153×	`distribute-lft-out--`
52×	`associate-/r/`
27×	`flip3--` `flip--`
26×	`div-inv`
24×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 543

Calls

3 calls:

91.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
13.0ms	(/ x (- y z))
55.0ms	(/ (/ x (- y z)) (- y t))

series269.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
54.0ms	(/ x (- y z))
85.0ms	(/ (/ x (- y z)) (- y t))

simplify1.1s

Counts

552 → 552

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	848	30401
1	2229	28334
done	5001	22346

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.5s

Algorithm

intervals

Results

513.0ms

8462×

body

valid