Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

269×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
9	4448
8	2969
7	2063
6	1218
5	540
4	199
3	100
2	58
1	25
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
8.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `clear-num` `frac-2neg` `div-sub` `add-log-exp`
1×	`flip3-+` `flip3--` `associate-/r/` `associate-+l-` `flip-+` `flip--`

Counts

2 → 175

Calls

2 calls:

79.0ms	(/ (+ (- t z) 1.0) a)
80.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series238.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (+ (- t z) 1.0) a)
184.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.7s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	2246
1	693
0	228

prune978.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
2.3b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

36.0ms	(/ (- y z) (+ (- t z) 1.0))
102.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series573.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- y z) (+ (- t z) 1.0))
510.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1264
1	387
0	144

prune610.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.1b	(/ 1 (/ a (+ (- t z) 1.0)))
8.9b	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

1126×	`times-frac`
922×	`*-un-lft-identity`
572×	`add-sqr-sqrt`
434×	`add-cube-cbrt`
140×	`distribute-lft-out`
139×	`distribute-lft-out--`
94×	`associate-/r*`
69×	`difference-of-squares`
54×	`associate-/r/`
35×	`add-exp-log`
31×	`div-inv`
23×	`flip3-+` `flip-+`
22×	`div-exp`
19×	`add-cbrt-cube`
11×	`associate-/l*`
10×	`cbrt-undiv`
4×	`pow1` `rec-exp` `1-exp`
3×	`clear-num` `frac-2neg` `add-log-exp`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 582

Calls

3 calls:

48.0ms	(/ a (+ (- t z) 1.0))
69.0ms	(/ 1 (/ a (+ (- t z) 1.0)))
72.0ms	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

series229.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ a (+ (- t z) 1.0))
53.0ms	(/ 1 (/ a (+ (- t z) 1.0)))
108.0ms	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

simplify1.8s

Counts

591 → 591

Iterations

Iter	Nodes
done	5000
1	2184
0	650

prune2.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
2.7b	(/ (- y z) (/ (cbrt (+ (- t z) 1.0)) a))
6.3b	(* (/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) 1)) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) a)))

rewrite673.0ms

Algorithm

rewrite-expression-head

Rules

649×	`times-frac`
552×	`*-un-lft-identity`
452×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
204×	`add-exp-log`
182×	`cbrt-prod`
145×	`associate-r`
117×	`div-exp`
92×	`distribute-lft-out--`
70×	`distribute-lft-out`
66×	`prod-exp`
57×	`difference-of-squares`
52×	`add-cbrt-cube`
33×	`1-exp`
30×	`cbrt-undiv`
28×	`associate-/r*` `unswap-sqr`
26×	`associate-l`
17×	`div-inv`
15×	`rec-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-/l*`
4×	`cbrt-div` `add-log-exp`
3×	`associate-/r/`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 492

Calls

4 calls:

13.0ms	(cbrt (+ (- t z) 1.0))
14.0ms	(cbrt (+ (- t z) 1.0))
77.0ms	(/ (- y z) (/ (cbrt (+ (- t z) 1.0)) a))
510.0ms	(* (/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) 1)) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) a)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ (- t z) 1.0))
126.0ms	(cbrt (+ (- t z) 1.0))
174.0ms	(/ (- y z) (/ (cbrt (+ (- t z) 1.0)) a))
154.0ms	(* (/ 1 (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) 1)) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) a)))

simplify2.3s

Counts

504 → 504

Iterations

Iter	Nodes
done	5000
1	2269
0	639

prune2.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes425.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

630.0ms	8471×	body	80	valid
0.0ms	1×	body	320	valid