Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

276×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
26	4979
25	4743
24	4499
23	4256
22	4020
21	3777
20	3537
19	3301
18	3057
17	2823
16	2584
15	2324
14	1950
13	1556
12	1129
11	699
10	486
9	335
8	250
7	206
6	169
5	128
4	87
3	50
2	31
1	18
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- z a)))
11.2b	(/ (* y (- z t)) (- z a))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

29.0ms	(* y (- z t))
19.0ms	(+ x (/ (* y (- z t)) (- z a)))
17.0ms	(/ (* y (- z t)) (- z a))

series255.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* y (- z t))
101.0ms	(+ x (/ (* y (- z t)) (- z a)))
95.0ms	(/ (* y (- z t)) (- z a))

simplify2.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	5004
3	4450
2	1068
1	355
0	131

prune402.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.0b	(+ x (/ y (/ (- z a) (- z t))))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 209

Calls

3 calls:

20.0ms	(/ (- z a) (- z t))
39.0ms	(+ x (/ y (/ (- z a) (- z t))))
23.0ms	(/ y (/ (- z a) (- z t)))

series368.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (- z a) (- z t))
126.0ms	(+ x (/ y (/ (- z a) (- z t))))
180.0ms	(/ y (/ (- z a) (- z t)))

simplify1.9s

Counts

218 → 218

Iterations

Iter	Nodes
done	5001
2	2714
1	788
0	295

prune964.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.9b	(* y (/ (- z t) (- z a)))

rewrite64.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

10.0ms	(+ x (* y (/ (- z t) (- z a))))
20.0ms	(/ (- z t) (- z a))
32.0ms	(* y (/ (- z t) (- z a)))

series273.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(+ x (* y (/ (- z t) (- z a))))
64.0ms	(/ (- z t) (- z a))
85.0ms	(* y (/ (- z t) (- z a)))

simplify1.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1369
1	444
0	165

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ y (* (* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))))
4.0b	(cbrt (/ (- z a) (- z t)))
4.0b	(cbrt (/ (- z a) (- z t)))
4.0b	(cbrt (/ (- z a) (- z t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
78×	`times-frac`
39×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`add-exp-log` `associate-/r/`
9×	`add-cbrt-cube`
5×	`frac-times` `associate-*l/`
4×	`pow1` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `div-exp` `prod-exp` `associate-r/` `cbrt-unprod` `flip--` `associate-/l`
1×	`clear-num` `associate-/r*` `frac-2neg`

Counts

4 → 154

Calls

4 calls:

62.0ms	(/ y (* (* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))))
5.0ms	(cbrt (/ (- z a) (- z t)))
5.0ms	(cbrt (/ (- z a) (- z t)))
8.0ms	(cbrt (/ (- z a) (- z t)))

series673.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ y (* (* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))))
195.0ms	(cbrt (/ (- z a) (- z t)))
154.0ms	(cbrt (/ (- z a) (- z t)))
161.0ms	(cbrt (/ (- z a) (- z t)))

simplify2.6s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
3	2160
2	776
1	367
0	182

prune857.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample919.0ms

Algorithm

intervals

Results

516.0ms

8710×

body

valid