Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

352×

body

valid

simplify98.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4
done	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
31.0ms	(* (- y x) (/ z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify37.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275
done	5001	275

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (- y x) (/ z t)))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

10.0ms	(cbrt (* (- y x) (/ z t)))
29.0ms	(* (- y x) (/ z t))
28.0ms	(* (- y x) (/ z t))
30.0ms	(* (- y x) (/ z t))

series273.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))
46.0ms	(* (- y x) (/ z t))
43.0ms	(* (- y x) (/ z t))

simplify42.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	375	801
1	1475	729
2	5002	709
done	5002	709

prune394.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (- y x) (/ z t)))
6.7b	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-r`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
16×	`cbrt-div`
15×	`frac-times` `associate-*l/`
14×	`add-exp-log` `add-cbrt-cube`
10×	`flip3--` `associate-l` `flip--`
8×	`pow1`
6×	`associate-*r/`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

10.0ms	(cbrt (* (- y x) (/ z t)))
132.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
28.0ms	(* (- y x) (/ z t))
31.0ms	(* (- y x) (/ z t))

series379.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (* (- y x) (/ z t)))
142.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
48.0ms	(* (- y x) (/ z t))
44.0ms	(* (- y x) (/ z t))

simplify57.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	487	1010
1	1897	930
2	5001	893
done	5001	893

prune529.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))
8.2b	(* (- y x) (/ z t))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`associate-r`
44×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-cube-cbrt`
24×	`add-exp-log` `add-cbrt-cube`
20×	`associate-l`
12×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 152

Calls

4 calls:

29.0ms	(* (- y x) (/ z t))
28.0ms	(* (- y x) (/ z t))
31.0ms	(* (- y x) (/ z t))
28.0ms	(* (- y x) (/ z t))

series189.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- y x) (/ z t))
44.0ms	(* (- y x) (/ z t))
50.0ms	(* (- y x) (/ z t))
46.0ms	(* (- y x) (/ z t))

simplify38.0ms

Counts

164 → 164

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	237	860
1	1031	776
2	5001	752
done	5001	752

prune516.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes254.0ms

Accuracy

15.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.3b

bsearch25.0ms

Steps

Iters	Range		Point
0	202865076.28559527	210311281.28102002	206588178.78330764
7	-2.380887265729015e+146	-5.3767202001825486e+144	-5.7101949551515916e+144

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	17
1	29	17
done	29	17

end0.0ms

sample603.0ms

Algorithm

intervals

Results

254.0ms

10654×

body

valid