Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

353×

body

valid

simplify173.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	16	7
2	36	7
3	79	7
4	117	7
5	129	7
6	131	7
done	131	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
6.2b	(* (* y (- x z)) t)

rewrite69.0ms

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:

27.0ms	(* y (- x z))
38.0ms	(* (* y (- x z)) t)

series87.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* y (- x z))
49.0ms	(* (* y (- x z)) t)

simplify3.7s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	133	972
1	274	786
2	805	634
3	4415	592
done	5000	592

prune156.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
6.2b	(* y (* (- x z) t))

rewrite85.0ms

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:

34.0ms	(* (- x z) t)
50.0ms	(* y (* (- x z) t))

series112.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (- x z) t)
64.0ms	(* y (* (- x z) t))

simplify2.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	81	445
1	189	431
2	697	365
3	3422	365
done	5000	365

prune154.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) y)
6.2b	(* (* 1 (* (- x z) y)) t)

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

25.0ms	(* (- x z) y)
133.0ms	(* (* 1 (* (- x z) y)) t)

series99.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- x z) y)
63.0ms	(* (* 1 (* (- x z) y)) t)

simplify4.2s

Counts

57 → 57

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	100	578
1	229	486
2	821	408
3	3792	408
done	5001	408

prune249.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.4b	(* (cbrt y) (* (- x z) t))
4.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite222.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
46.0ms	(* (cbrt y) (* (- x z) t))
171.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series934.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt y)
258.0ms	(cbrt y)
279.0ms	(* (cbrt y) (* (- x z) t))
116.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	119	1089
1	309	1046
2	1203	745
done	5000	635

prune263.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

59.6% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.6b

bsearch93.0ms

Steps

Iters	Range		Point
10	1.5319929683350882e-65	5.317179122404824e-51	1.667823963409601e-56
7	-30461436.183609415	-1550992.7687819407	-3740229.056606154

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	17	31
1	27	23
done	27	23

end0.0ms

sample1.4s

Algorithm

intervals

Results

680.0ms

10830×

body

valid