Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

272×

body

valid

simplify833.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	94	11
5	140	11
6	167	11
7	183	11
8	206	11
9	239	11
10	296	11
11	328	11
12	370	11
13	405	11
14	417	11
done	417	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.5b	(* y (/ (- z t) (- z a)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

7.0ms	(+ x (* y (/ (- z t) (- z a))))
23.0ms	(/ (- z t) (- z a))
51.0ms	(* y (/ (- z t) (- z a)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ x (* y (/ (- z t) (- z a))))
69.0ms	(/ (- z t) (- z a))
96.0ms	(* y (/ (- z t) (- z a)))

simplify2.3s

Counts

122 → 122

Iterations

Useful iterations: 2 (232.0ms)

Iter	Nodes	Cost
0	162	1555
1	419	1454
2	1176	1368
3	3710	1368
done	5001	1368

prune339.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.2b	(* (- z t) (/ 1 (- z a)))
3.5b	(* y (* (- z t) (/ 1 (- z a))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

12.0ms	(/ 1 (- z a))
9.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
49.0ms	(* (- z t) (/ 1 (- z a)))
94.0ms	(* y (* (- z t) (/ 1 (- z a))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (- z a))
99.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
63.0ms	(* (- z t) (/ 1 (- z a)))
89.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify1.2s

Counts

142 → 142

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	182	1728
1	441	1392
2	1389	1228
done	5001	1228

prune317.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- z a)))))
0.0b	(/ y (- z a))
9.9b	(* (- z t) (/ y (- z a)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

9.0ms	(+ x (* 1 (* (- z t) (/ y (- z a)))))
16.0ms	(/ y (- z a))
44.0ms	(* (- z t) (/ y (- z a)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ x (* 1 (* (- z t) (/ y (- z a)))))
36.0ms	(/ y (- z a))
64.0ms	(* (- z t) (/ y (- z a)))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	158	1260
1	378	1149
2	1357	1071
done	5001	1071

prune304.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (cbrt (- z a)) (cbrt (- z a)))
2.1b	(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`cbrt-prod`
32×	`*-un-lft-identity`
24×	`add-exp-log` `cbrt-div`
21×	`associate-r`
16×	`add-cube-cbrt`
14×	`flip3--` `add-cbrt-cube` `flip--`
13×	`pow1` `associate-l`
10×	`frac-times` `swap-sqr` `prod-exp` `cbrt-unprod`
8×	`pow1/3` `associate-/r/`
7×	`distribute-lft-out--`
6×	`associate-*l/` `unswap-sqr`
5×	`associate-*r/` `difference-of-squares`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`times-frac` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
39.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
92.0ms	(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))))

series921.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt y)
223.0ms	(cbrt y)
165.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
280.0ms	(* (- z t) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- z a)) (cbrt (- z a)))))

simplify1.3s

Counts

134 → 134

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	253	2205
1	622	2046
2	2355	1714
done	5000	1678

prune585.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	31
1	24	29
done	24	29

end0.0ms

sample1.1s

Algorithm

intervals

Results

497.0ms	8722×	body	80	valid
0.0ms	1×	body	320	valid