Details

sample50.0ms

Algorithm

intervals

Results

20.0ms

276×

body

valid

simplify333.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	10	11
1	19	9
2	44	9
3	82	9
4	132	9
5	179	9
6	212	9
7	230	9
8	234	9
done	234	9

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.9b	(/ (* x 2.0) (* z (- y t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

31.0ms	(* z (- y t))
22.0ms	(/ (* x 2.0) (* z (- y t)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* z (- y t))
60.0ms	(/ (* x 2.0) (* z (- y t)))

simplify852.0ms

Counts

55 → 55

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	93	556
1	260	543
2	1413	437
done	5002	427

prune318.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

4.8b	(/ (/ (* x 2.0) z) (- y t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

53×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`div-inv` `associate-/l*`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
2×	`associate-/r/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`

Counts

1 → 66

Calls

1 calls:

40.0ms

(/ (/ (* x 2.0) z) (- y t))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(/ (/ (* x 2.0) z) (- y t))

simplify1.0s

Counts

69 → 69

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	145	1073
1	383	1025
2	1862	961
done	5000	957

prune352.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
2.7b	(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

196×	`times-frac`
156×	`add-sqr-sqrt`
124×	`*-un-lft-identity`
110×	`associate-r`
92×	`add-cube-cbrt`
84×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
20×	`cbrt-div`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-undiv` `div-exp` `associate-l`
12×	`prod-exp` `cbrt-unprod`
10×	`flip3--` `associate-/r/` `flip--` `div-inv` `unswap-sqr`
6×	`pow1`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 210

Calls

4 calls:

4.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
6.0ms	(cbrt (- y t))
236.0ms	(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

series758.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (- y t))
214.0ms	(cbrt (- y t))
196.0ms	(cbrt (- y t))
103.0ms	(* (/ x (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ 2.0 z) (cbrt (- y t))))

simplify718.0ms

Counts

222 → 222

Iterations

Useful iterations: done (711.0ms)

Iter	Nodes	Cost
0	382	4794
1	1316	4567
done	5000	4231

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 2.0 z))
0.6b	(cbrt (/ 2.0 z))
0.6b	(cbrt (/ 2.0 z))
2.9b	(* (/ (/ x (cbrt (- y t))) (cbrt (- y t))) (* (cbrt (/ 2.0 z)) (cbrt (/ 2.0 z))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

469×	`times-frac`
331×	`add-sqr-sqrt`
314×	`cbrt-prod` `*-un-lft-identity`
246×	`associate-l`
206×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
29×	`cbrt-div`
25×	`add-exp-log`
18×	`associate-/r/`
13×	`add-cbrt-cube`
12×	`div-inv`
9×	`pow1` `flip3--` `prod-exp` `flip--` `cbrt-unprod`
7×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 349

Calls

4 calls:

3.0ms	(cbrt (/ 2.0 z))
2.0ms	(cbrt (/ 2.0 z))
2.0ms	(cbrt (/ 2.0 z))
217.0ms	(* (/ (/ x (cbrt (- y t))) (cbrt (- y t))) (* (cbrt (/ 2.0 z)) (cbrt (/ 2.0 z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt (/ 2.0 z))
338.0ms	(cbrt (/ 2.0 z))
312.0ms	(cbrt (/ 2.0 z))
357.0ms	(* (/ (/ x (cbrt (- y t))) (cbrt (- y t))) (* (cbrt (/ 2.0 z)) (cbrt (/ 2.0 z))))

simplify2.1s

Counts

361 → 361

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	416	7509
1	1208	7410
2	4311	7140
done	5000	7054

prune2.3s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes508.0ms

Accuracy

34.2% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 4.0b

bsearch148.0ms

Steps

Iters	Range		Point
11	8.375463895322616e+20	4.0768115069989146e+42	1.6365850306645365e+21
8	-1.0218937639515915e+104	-6.003682551293429e+100	-2.032242565828042e+101

simplify25.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	49
1	33	49
2	37	49
3	38	49
done	38	49

end0.0ms

sample1.6s

Algorithm

intervals

Results

608.0ms

8707×

body

valid