Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

268×

body

valid

simplify2.1s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize25.0ms

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)
9.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite278.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-/r/` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

112.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
63.0ms	(/ (+ (- t z) 1.0) a)
83.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series401.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
53.0ms	(/ (+ (- t z) 1.0) a)
215.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.7s

Counts

201 → 201

Iterations

Iter	Nodes
done	5001
2	2443
1	773
0	261

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize36.0ms

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))
0.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite152.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 114

Calls

3 calls:

4.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
37.0ms	(/ (- y z) (+ (- t z) 1.0))
107.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series409.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
90.0ms	(/ (- y z) (+ (- t z) 1.0))
151.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1429
1	446
0	168

prune731.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
37×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`difference-of-squares`
6×	`associate-/r*`
5×	`pow1` `flip3--` `associate-l` `flip--` `add-log-exp`
4×	`associate-/r/`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 102

Calls

3 calls:

9.0ms	(- x (* (- y z) (/ a (- t (- z 1.0)))))
47.0ms	(/ a (- t (- z 1.0)))
132.0ms	(* (- y z) (/ a (- t (- z 1.0))))

series332.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(- x (* (- y z) (/ a (- t (- z 1.0)))))
39.0ms	(/ a (- t (- z 1.0)))
117.0ms	(* (- y z) (/ a (- t (- z 1.0))))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1688
1	447
0	175

prune727.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
0.4b	(cbrt (+ (- t z) 1.0))
6.4b	(* (/ 1 (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (* (/ (- y z) (cbrt (+ (- t z) 1.0))) a))

rewrite603.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
44×	`prod-exp`
31×	`add-cbrt-cube`
24×	`*-un-lft-identity`
19×	`div-exp`
18×	`cbrt-div` `cbrt-unprod`
15×	`cbrt-prod` `associate-l`
9×	`add-sqr-sqrt` `pow1` `cbrt-undiv` `flip3-+` `add-cube-cbrt` `flip-+`
8×	`associate-/r/`
6×	`rec-exp` `1-exp` `distribute-lft-out`
5×	`frac-times` `associate-*l/`
4×	`add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down` `associate-*r/` `distribute-lft-out--`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 104

Calls

4 calls:

26.0ms	(cbrt (+ (- t z) 1.0))
25.0ms	(cbrt (+ (- t z) 1.0))
26.0ms	(cbrt (+ (- t z) 1.0))
518.0ms	(* (/ 1 (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (* (/ (- y z) (cbrt (+ (- t z) 1.0))) a))

series584.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ (- t z) 1.0))
108.0ms	(cbrt (+ (- t z) 1.0))
171.0ms	(cbrt (+ (- t z) 1.0))
172.0ms	(* (/ 1 (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (* (/ (- y z) (cbrt (+ (- t z) 1.0))) a))

simplify1.9s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
2	1881
1	554
0	196

prune608.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes492.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

543.0ms	8458×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid