Details

sample51.0ms

Algorithm

intervals

Results

20.0ms

341×

body

valid

simplify202.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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:

29.0ms	(* y (- x z))
54.0ms	(* (* y (- x z)) t)

series102.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* y (- x z))
60.0ms	(* (* y (- x z)) t)

simplify4.6s

Counts

74 → 74

Iterations

Useful iterations: 3 (2.3s)

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

prune212.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
5.3b	(* y (* (- x z) t))

rewrite92.0ms

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:

27.0ms	(* (- x z) t)
64.0ms	(* y (* (- x z) t))

series103.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- x z) t)
70.0ms	(* y (* (- x z) t))

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (122.0ms)

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

prune205.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.5b	(* (cbrt y) (* (- x z) t))
3.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

rewrite240.0ms

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)
49.0ms	(* (cbrt y) (* (- x z) t))
187.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

series919.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt y)
263.0ms	(cbrt y)
251.0ms	(* (cbrt y) (* (- x z) t))
95.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t)))

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

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

prune352.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
2.5b	(* (cbrt y) (* (- x z) t))
3.0b	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

rewrite563.0ms

Algorithm

rewrite-expression-head

Rules

63×	`pow1` `add-exp-log`
45×	`pow-prod-down` `prod-exp` `cbrt-unprod`
32×	`add-cbrt-cube`
21×	`cbrt-prod`
10×	`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 → 107

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
39.0ms	(* (cbrt y) (* (- x z) t))
514.0ms	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

428.0ms	(cbrt (cbrt y))
478.0ms	(cbrt (cbrt y))
301.0ms	(* (cbrt y) (* (- x z) t))
118.0ms	(* (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) (* (cbrt y) (* (- x z) t)))

simplify1.6s

Counts

119 → 119

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	161	2171
1	426	2099
2	1844	1300
done	5000	863

prune366.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes198.0ms

Accuracy

55.6% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 6.8b

bsearch103.0ms

Steps

Iters	Range		Point
10	1.144842041585051e+66	9.703158395903915e+76	2.583080580921436e+67
10	-34576.49081739624	-6.422877405893396e-09	-24528.735858040694

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	33
1	28	29
done	28	29

end0.0ms

sample1.2s

Algorithm

intervals

Results

555.0ms

10667×

body

valid