Details

sample47.0ms

Algorithm

intervals

Results

19.0ms

329×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	45	9
4	84	9
5	112	9
6	130	9
7	147	9
8	188	9
9	245	9
10	274	9
11	307	9
12	343	9
13	368	9
14	384	9
15	471	9
16	562	9
17	811	9
18	1138	9
19	1573	9
20	1655	9
21	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
5.0b	(/ (* y (- z x)) t)

rewrite56.0ms

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-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `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 → 61

Calls

3 calls:

15.0ms	(+ x (/ (* y (- z x)) t))
21.0ms	(* y (- z x))
18.0ms	(/ (* y (- z x)) t)

series202.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (/ (* y (- z x)) t))
66.0ms	(* y (- z x))
88.0ms	(/ (* y (- z x)) t)

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: 2 (177.0ms)

Iter	Nodes	Cost
0	113	722
1	290	679
2	894	589
3	4328	589
done	5000	589

prune184.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.5b	(/ 1 (/ t (* y (- z x))))
5.0b	(/ t (* y (- z x)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

28.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
22.0ms	(* y (- z x))
43.0ms	(/ 1 (/ t (* y (- z x))))
14.0ms	(/ t (* y (- z x)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
67.0ms	(* y (- z x))
101.0ms	(/ 1 (/ t (* y (- z x))))
62.0ms	(/ t (* y (- z x)))

simplify1.1s

Counts

138 → 138

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	195	1749
1	437	1558
2	1168	1320
done	5000	1286

prune362.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
6.9b	(/ (- z x) (/ t y))

rewrite102.0ms

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:

66.0ms	(+ x (/ (- z x) (/ t y)))
27.0ms	(/ (- z x) (/ t y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (/ (- z x) (/ t y)))
53.0ms	(/ (- z x) (/ t y))

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	217	1896
1	590	1758
2	1888	1680
done	5000	1678

prune400.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.3b	(/ (* (cbrt (- z x)) (cbrt (- z x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/l/`
7×	`times-frac`
6×	`flip3--` `flip--`
5×	`associate-/r*`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l*`

Counts

4 → 83

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
56.0ms	(/ (* (cbrt (- z x)) (cbrt (- z x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

series997.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt y)
221.0ms	(cbrt y)
228.0ms	(cbrt y)
303.0ms	(/ (* (cbrt (- z x)) (cbrt (- z x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt y) (cbrt y))))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	185	1727
1	471	1624
2	1904	1216
done	5000	1134

prune451.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	36
1	24	34
done	24	34

end0.0ms

sample1.7s

Algorithm

intervals

Results

661.0ms

10718×

body

valid