Details

sample46.0ms

Algorithm

intervals

Results

17.0ms

272×

body

valid

simplify2.0s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize20.0ms

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)
11.0b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite214.0ms

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:

71.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
81.0ms	(/ (+ (- t z) 1.0) a)
52.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series289.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
137.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.4s

Counts

201 → 201

Iterations

Iter	Nodes
done	5001
2	2443
1	773
0	261

prune841.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

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))
1.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite429.0ms

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:

284.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
42.0ms	(/ (- y z) (+ (- t z) 1.0))
98.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series382.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
76.0ms	(/ (- y z) (+ (- t z) 1.0))
169.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.3s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1429
1	446
0	168

prune588.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
1.5b	(* (/ (- y z) (+ (- t z) 1.0)) (* (cbrt a) (cbrt a)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `associate-l`
26×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`distribute-lft-out` `distribute-lft-out--`
9×	`cbrt-prod` `pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`difference-of-squares`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3-+` `associate-r` `associate-l/` `-commutative` `flip-+` `div-inv`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
125.0ms	(* (/ (- y z) (+ (- t z) 1.0)) (* (cbrt a) (cbrt a)))

series1.0s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt a)
250.0ms	(cbrt a)
223.0ms	(cbrt a)
303.0ms	(* (/ (- y z) (+ (- t z) 1.0)) (* (cbrt a) (cbrt a)))

simplify2.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5003
3	4778
2	1101
1	364
0	124

prune540.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (- t (- z 1.0)))
0.0b	(- x (* (- y z) (/ a (- t (- z 1.0)))))
10.5b	(* (- y z) (/ a (- t (- z 1.0))))

rewrite116.0ms

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:

31.0ms	(/ a (- t (- z 1.0)))
6.0ms	(- x (* (- y z) (/ a (- t (- z 1.0)))))
74.0ms	(* (- y z) (/ a (- t (- z 1.0))))

series284.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ a (- t (- z 1.0)))
140.0ms	(- x (* (- y z) (/ a (- t (- z 1.0)))))
101.0ms	(* (- y z) (/ a (- t (- z 1.0))))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5005
2	1685
1	447
0	175

prune626.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes593.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample926.0ms

Algorithm

intervals

Results

574.0ms	8491×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid