Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

272×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	177	13
5	258	13
6	398	13
7	595	13
8	840	13
9	1061	13
10	1188	13
11	1227	13
12	1232	13
done	1232	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
10.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

146.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
77.0ms	(/ (+ (- t z) 1.0) a)
69.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series386.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
53.0ms	(/ (+ (- t z) 1.0) a)
187.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts

201 → 201

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	259	3964
1	692	3697
2	2204	3569
done	5000	3567

prune561.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.2b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

8.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
79.0ms	(/ (- y z) (+ (- t z) 1.0))
161.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series371.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
71.0ms	(/ (- y z) (+ (- t z) 1.0))
168.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.7s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	168	1847
1	436	1762
2	1280	1648
3	4612	1644
done	5001	1644

prune367.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.2b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)
0.3b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

8.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
117.0ms	(/ (+ (- t z) 1.0) (- y z))
162.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)
85.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
93.0ms	(/ (+ (- t z) 1.0) (- y z))
147.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)
123.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))

simplify1.2s

Counts

350 → 350

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	358	6380
1	865	5399
2	2123	5000
done	5002	4924

prune753.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ a (/ (+ (- t z) 1.0) (- y z)))))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.4b	(/ a (/ (+ (- t z) 1.0) (- y z)))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `div-sub` `flip-+`

Counts

3 → 206

Calls

3 calls:

5.0ms	(- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ a (/ (+ (- t z) 1.0) (- y z)))))
111.0ms	(/ (+ (- t z) 1.0) (- y z))
86.0ms	(/ a (/ (+ (- t z) 1.0) (- y z)))

series439.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(- x (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ a (/ (+ (- t z) 1.0) (- y z)))))
87.0ms	(/ (+ (- t z) 1.0) (- y z))
156.0ms	(/ a (/ (+ (- t z) 1.0) (- y z)))

simplify1.5s

Counts

215 → 215

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	280	4408
1	650	4003
2	2307	3821
done	5001	3815

prune671.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample996.0ms

Algorithm

intervals

Results

444.0ms	8461×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid