Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

273×

body

valid

simplify878.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.5b	(* y (/ (- z t) (- a t)))

rewrite100.0ms

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) (- a t))))
39.0ms	(/ (- z t) (- a t))
49.0ms	(* y (/ (- z t) (- a t)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (* y (/ (- z t) (- a t))))
83.0ms	(/ (- z t) (- a t))
110.0ms	(* y (/ (- z t) (- a t)))

simplify2.0s

Counts

122 → 122

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune380.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.3b	(* (- z t) (/ 1 (- a t)))
2.5b	(* y (* (- z t) (/ 1 (- a t))))

rewrite158.0ms

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:

9.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
12.0ms	(/ 1 (- a t))
67.0ms	(* (- z t) (/ 1 (- a t)))
64.0ms	(* y (* (- z t) (/ 1 (- a t))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
53.0ms	(/ 1 (- a t))
66.0ms	(* (- z t) (/ 1 (- a t)))
75.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify1.2s

Counts

142 → 142

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	182	1728
1	437	1392
2	1377	1228
done	5000	1228

prune312.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))
3.0b	(cbrt (/ (- z t) (- a t)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

91.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
9.0ms	(cbrt (/ (- z t) (- a t)))
17.0ms	(cbrt (/ (- z t) (- a t)))
10.0ms	(cbrt (/ (- z t) (- a t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

227.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
404.0ms	(cbrt (/ (- z t) (- a t)))
379.0ms	(cbrt (/ (- z t) (- a t)))
378.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.5s

Counts

154 → 154

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	214	2876
1	448	2760
2	1014	2618
3	2514	2570
done	5000	2485

prune598.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
10.0b	(* (- z t) (/ y (- a t)))

rewrite90.0ms

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:

11.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
11.0ms	(/ y (- a t))
60.0ms	(* (- z t) (/ y (- a t)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
36.0ms	(/ y (- a t))
122.0ms	(* (- z t) (/ y (- a t)))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	158	1260
1	374	1149
2	1345	1071
done	5001	1071

prune264.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes292.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

532.0ms	8721×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid