Details

sample50.0ms

Algorithm

intervals

Results

20.0ms

268×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4036
5	902
4	255
3	105
2	58
1	25
0	12

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
9.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite257.0ms

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:

57.0ms	(/ (+ (- t z) 1.0) a)
110.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
77.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series358.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (+ (- t z) 1.0) a)
146.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
171.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.2s

Counts

201 → 201

Iterations

Iter	Nodes
done	5002
2	3717
1	781
0	261

prune973.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))
0.9b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite157.0ms

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:

7.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
42.0ms	(/ (- y z) (+ (- t z) 1.0))
100.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series292.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
55.0ms	(/ (- y z) (+ (- t z) 1.0))
137.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify850.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1840
1	446
0	168

prune582.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`add-cbrt-cube` `div-exp`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

214.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
53.0ms	(/ (- y z) (+ (- t z) 1.0))
105.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series409.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
90.0ms	(/ (- y z) (+ (- t z) 1.0))
186.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify834.0ms

Counts

554 → 554

Iterations

Iter	Nodes
done	5001
1	2210
0	627

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 a))
0.6b	(* (cbrt (- y z)) (cbrt (- y z)))
2.1b	(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (cbrt (- y z)) (* (cbrt (/ 1 a)) (+ (- t z) 1.0))))
4.7b	(/ (cbrt (- y z)) (* (cbrt (/ 1 a)) (+ (- t z) 1.0)))

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

1004×	`times-frac`
564×	`cbrt-prod`
432×	`add-sqr-sqrt`
368×	`*-un-lft-identity`
349×	`associate-l`
339×	`add-cube-cbrt`
65×	`add-exp-log`
57×	`div-inv`
38×	`cbrt-div`
27×	`add-cbrt-cube` `associate-/r/`
25×	`cbrt-undiv` `div-exp` `associate-r` `unswap-sqr`
21×	`prod-exp` `cbrt-unprod`
13×	`pow1`
10×	`swap-sqr`
9×	`frac-times` `distribute-lft-out--`
8×	`associate-/l*`
7×	`flip3--` `pow1/3` `associate-*r/` `flip--` `difference-of-squares`
5×	`associate-*l/`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus`

Counts

4 → 531

Calls

4 calls:

6.0ms	(cbrt (/ 1 a))
49.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
364.0ms	(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (cbrt (- y z)) (* (cbrt (/ 1 a)) (+ (- t z) 1.0))))
37.0ms	(/ (cbrt (- y z)) (* (cbrt (/ 1 a)) (+ (- t z) 1.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (/ 1 a))
187.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
111.0ms	(* (/ (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (/ (cbrt (- y z)) (* (cbrt (/ 1 a)) (+ (- t z) 1.0))))
627.0ms	(/ (cbrt (- y z)) (* (cbrt (/ 1 a)) (+ (- t z) 1.0)))

simplify1.1s

Counts

543 → 543

Iterations

Iter	Nodes
done	5000
1	2540
0	765

prune4.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes576.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample963.0ms

Algorithm

intervals

Results

597.0ms	8428×	body	80	valid
0.0ms	1×	body	640	valid