Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

351×

body

valid

simplify88.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	16	7
2	36	7
3	72	7
4	106	7
5	121	7
6	123	7
done	123	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
9.6b	(* (* y (- x z)) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-l/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

14.0ms	(* y (- x z))
14.0ms	(* (* y (- x z)) t)

series80.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* y (- x z))
40.0ms	(* (* y (- x z)) t)

simplify2.6s

Counts

74 → 74

Iterations

Useful iterations: 3 (983.0ms)

Iter	Nodes	Cost
0	133	972
1	274	786
2	848	634
3	3962	592
done	5000	592

prune110.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
6.1b	(* y (* (- x z) t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

10.0ms	(* (- x z) t)
13.0ms	(* y (* (- x z) t))

series70.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- x z) t)
39.0ms	(* y (* (- x z) t))

simplify2.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	81	445
1	190	431
2	682	365
3	3232	365
done	5000	365

prune109.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.2b	(* (cbrt y) (* (- x z) t))
4.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 83

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
14.0ms	(* (cbrt y) (* (- x z) t))
47.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
172.0ms	(cbrt y)
183.0ms	(* (cbrt y) (* (- x z) t))
70.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify908.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	119	1089
1	323	1046
2	1213	745
done	5000	745

prune227.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
1.0b	(* (cbrt (cbrt y)) (* (- x z) t))
1.5b	(* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (* (- x z) t)))
4.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (* (- x z) t))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
25×	`add-cbrt-cube`
19×	`cbrt-prod`
14×	`associate-l`
12×	`associate-*r/`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-r` `*-commutative` `flip--`
1×	`pow1/3`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
16.0ms	(* (cbrt (cbrt y)) (* (- x z) t))
38.0ms	(* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (* (- x z) t)))
117.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (* (- x z) t))))

series793.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (cbrt y))
274.0ms	(* (cbrt (cbrt y)) (* (- x z) t))
194.0ms	(* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (* (- x z) t)))
72.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt (* (cbrt y) (cbrt y))) (* (cbrt (cbrt y)) (* (- x z) t))))

simplify796.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	170	2160
1	476	2093
2	1855	1528
done	5000	1528

prune340.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

52.5% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 7.2b

bsearch55.0ms

Steps

Iters	Range		Point
8	2.9255507816710636e+82	1.266822787947235e+86	8.879437823079841e+82
5	-7.816553940694587e-141	-2.1754758723124614e-141	-5.263543912853785e-141

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	15	29
1	22	23
done	22	23

end0.0ms

sample533.0ms

Algorithm

intervals

Results

271.0ms

10623×

body

valid