Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

281×

body

valid

simplify847.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	35	11
3	60	11
4	96	11
5	140	11
6	163	11
7	180	11
8	202	11
9	247	11
10	327	11
11	365	11
12	399	11
13	405	11
14	407	11
done	407	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ x (/ (* (- y z) t) (- a z)))
11.0b	(/ (* (- y z) t) (- a z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

22.0ms	(* (- y z) t)
25.0ms	(+ x (/ (* (- y z) t) (- a z)))
39.0ms	(/ (* (- y z) t) (- a z))

series194.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- y z) t)
88.0ms	(+ x (/ (* (- y z) t) (- a z)))
74.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	124	812
1	325	763
2	1264	685
done	5000	685

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
3.8b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

7.0ms	(cbrt (- a z))
7.0ms	(cbrt (- a z))
7.0ms	(cbrt (- a z))
197.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (- a z))
198.0ms	(cbrt (- a z))
205.0ms	(cbrt (- a z))
139.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.3s

Counts

134 → 134

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	211	2506
1	587	2418
2	2137	2045
done	5000	1913

prune524.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
2.5b	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
35×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
20×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-l`
10×	`add-cube-cbrt`
9×	`pow1`
8×	`cbrt-div` `times-frac`
5×	`frac-times` `associate-*r/`
4×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`associate-/r/`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
8.0ms	(cbrt (- y z))
191.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

series781.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (- y z))
243.0ms	(cbrt (- y z))
221.0ms	(cbrt (- y z))
145.0ms	(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (cbrt (- a z))) (* (/ (cbrt (- y z)) (cbrt (- a z))) (/ t (cbrt (- a z)))))

simplify2.2s

Counts

119 → 119

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	198	3079
1	519	2987
2	1985	2096
done	5001	1815

prune433.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
9.9b	(/ (- y z) (/ (- a z) t))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `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×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

101.0ms	(+ x (/ (- y z) (/ (- a z) t)))
26.0ms	(/ (- a z) t)
42.0ms	(/ (- y z) (/ (- a z) t))

series246.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ x (/ (- y z) (/ (- a z) t)))
37.0ms	(/ (- a z) t)
112.0ms	(/ (- y z) (/ (- a z) t))

simplify1.3s

Counts

197 → 197

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	273	3386
1	759	3165
2	2479	3059
done	5002	3057

prune536.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33
done	19	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

535.0ms	8724×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid