Details

sample46.0ms

Algorithm

intervals

Results

15.0ms

277×

body

valid

simplify797.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
10.4b	(/ (* (- y z) t) (- a z))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

33.0ms	(* (- y z) t)
26.0ms	(/ (* (- y z) t) (- a z))

series135.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (- y z) t)
94.0ms	(/ (* (- y z) t) (- a z))

simplify1.2s

Counts

57 → 57

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	101	565
1	255	545
2	1060	471
done	5000	471

prune173.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(* (cbrt (- a z)) (cbrt (- a z)))
3.3b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
31×	`add-cube-cbrt`
30×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
12×	`distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `difference-of-squares` `unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
41.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
167.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series643.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- a z))
189.0ms	(cbrt (- a z))
168.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
135.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.4s

Counts

175 → 175

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	263	3146
1	686	2971
2	2657	2569
done	5000	2437

prune760.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- a z)) (cbrt (- a z)))
0.5b	(cbrt (cbrt (- a z)))
0.6b	(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
1.9b	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
156×	`add-sqr-sqrt`
121×	`cbrt-prod`
108×	`cbrt-div`
91×	`*-un-lft-identity`
88×	`associate-l`
61×	`add-cube-cbrt`
47×	`associate-r`
44×	`flip3--` `flip--`
42×	`associate-/r/`
38×	`add-exp-log`
29×	`frac-times`
24×	`unswap-sqr`
22×	`add-cbrt-cube`
15×	`associate-r/` `associate-l/`
14×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
13×	`pow1`
12×	`difference-of-squares`
11×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr`
8×	`pow1/3`
6×	`div-inv`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 258

Calls

4 calls:

39.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
5.0ms	(cbrt (cbrt (- a z)))
19.0ms	(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
278.0ms	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

series710.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
216.0ms	(cbrt (cbrt (- a z)))
168.0ms	(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
137.0ms	(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

simplify1.9s

Counts

270 → 270

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	473	7665
1	1324	7408
2	4338	6992
done	5001	6869

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
12.4b	(* (- y z) (/ t (- a z)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 83

Calls

2 calls:

18.0ms	(/ t (- a z))
70.0ms	(* (- y z) (/ t (- a z)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ t (- a z))
104.0ms	(* (- y z) (/ t (- a z)))

simplify2.9s

Counts

89 → 89

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	130	977
1	290	931
2	1085	857
3	4338	857
done	5000	857

prune285.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	34
1	18	34
done	18	34

end0.0ms

sample1.1s

Algorithm

intervals

Results

445.0ms	8762×	body	80	valid
0.0ms	1×	body	160	valid