Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

332×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	48	9
4	79	9
5	120	9
6	137	9
7	146	9
8	163	9
9	211	9
10	287	9
11	327	9
12	371	9
13	389	9
14	476	9
15	567	9
16	816	9
17	1145	9
18	1569	9
19	1652	9
20	1654	9
done	1654	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
7.4b	(/ (* (- y x) z) t)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

30.0ms	(* (- y x) z)
10.0ms	(+ x (/ (* (- y x) z) t))
18.0ms	(/ (* (- y x) z) t)

series153.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (- y x) z)
49.0ms	(+ x (/ (* (- y x) z) t))
61.0ms	(/ (* (- y x) z) t)

simplify4.0s

Counts

66 → 66

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	110	688
1	283	653
2	993	559
3	4871	559
done	5000	559

prune236.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.5b	(/ (- y x) (/ t z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

51.0ms	(+ x (/ (- y x) (/ t z)))
24.0ms	(/ (- y x) (/ t z))

series119.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (/ (- y x) (/ t z)))
72.0ms	(/ (- y x) (/ t z))

simplify1.5s

Counts

120 → 120

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	217	1896
1	594	1770
2	1847	1680
done	5001	1678

prune373.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ z t) (- y x)))
5.6b	(* (/ z t) (- y x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

21.0ms	(+ x (* (/ z t) (- y x)))
59.0ms	(* (/ z t) (- y x))

series167.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ x (* (/ z t) (- y x)))
98.0ms	(* (/ z t) (- y x))

simplify3.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	120	723
1	314	691
2	1007	619
3	3939	619
done	5000	619

prune200.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
1.9b	(* (/ (cbrt z) t) (- y x))
5.3b	(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) t) (- y x)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
62.0ms	(* (/ (cbrt z) t) (- y x))
120.0ms	(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) t) (- y x)))

series982.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt z)
316.0ms	(cbrt z)
228.0ms	(* (/ (cbrt z) t) (- y x))
129.0ms	(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) t) (- y x)))

simplify2.0s

Counts

147 → 147

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	224	2272
1	595	2017
2	2254	1490
done	5002	1262

prune417.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

55.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	25	51
done	25	51

end0.0ms

sample1.3s

Algorithm

intervals

Results

619.0ms

10698×

body

valid