Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

270×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	184	13
5	279	13
6	431	13
7	618	13
8	918	13
9	1209	13
10	1405	13
11	1467	13
12	1478	13
done	1478	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize9.0ms

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)
9.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite134.0ms

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:

60.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms	(/ (+ (- t z) 1.0) a)
30.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series240.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms	(/ (+ (- t z) 1.0) a)
125.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify777.0ms

Counts

201 → 201

Iterations

Useful iterations: 2 (344.0ms)

Iter	Nodes	Cost
0	259	3964
1	705	3697
2	2107	3569
done	5000	3569

prune409.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* 1 (* (/ (- y z) (+ (- t z) 1.0)) a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--`
22×	`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 → 115

Calls

3 calls:

2.0ms	(- x (* 1 (* (/ (- y z) (+ (- t z) 1.0)) a)))
23.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series256.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- x (* 1 (* (/ (- y z) (+ (- t z) 1.0)) a)))
50.0ms	(/ (- y z) (+ (- t z) 1.0))
121.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.9s

Counts

124 → 124

Iterations

Useful iterations: 3 (788.0ms)

Iter	Nodes	Cost
0	172	1900
1	453	1775
2	1272	1661
3	4784	1657
done	5000	1657

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
3.2b	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
22×	`add-exp-log`
19×	`add-cube-cbrt`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
0.0ms	(cbrt a)
29.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series748.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt a)
174.0ms	(cbrt a)
171.0ms	(cbrt a)
207.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify578.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	191	2448
1	540	2348
2	1907	1864
done	5001	1864

prune386.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

3.2b	(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
14.3b	(cbrt (/ (+ (- t z) 1.0) a))
14.3b	(cbrt (/ (+ (- t z) 1.0) a))
14.3b	(cbrt (/ (+ (- t z) 1.0) a))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
57×	`cbrt-prod`
50×	`times-frac`
37×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
18×	`distribute-lft-out`
11×	`distribute-lft-out--`
9×	`add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
5×	`associate-/l*`
4×	`pow1` `div-inv` `add-log-exp`
3×	`pow1/3` `associate-/r/`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `difference-of-squares`
1×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-r/` `associate-l/` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod`

Counts

4 → 115

Calls

4 calls:

28.0ms	(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
12.0ms	(cbrt (/ (+ (- t z) 1.0) a))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series671.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
154.0ms	(cbrt (/ (+ (- t z) 1.0) a))
145.0ms	(cbrt (/ (+ (- t z) 1.0) a))
147.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify1.1s

Counts

127 → 127

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	203	2732
1	456	2618
2	1163	2418
3	3435	2218
done	5000	2216

prune390.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	19	13
done	19	13

end0.0ms

sample526.0ms

Algorithm

intervals

Results

284.0ms

8489×

body

valid