Details

sample171.0ms

Algorithm

intervals

Results

88.0ms

583×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (295.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	1230	27
done	5000	27

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.5b	(* x (- (* y z) (* t a)))
6.4b	(* b (- (* c z) (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

11.0ms	(- (* c t) (* i y))
44.0ms	(* x (- (* y z) (* t a)))
41.0ms	(* b (- (* c z) (* i a)))
32.0ms	(* j (- (* c t) (* i y)))

series358.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* c t) (* i y))
90.0ms	(* x (- (* y z) (* t a)))
96.0ms	(* b (- (* c z) (* i a)))
108.0ms	(* j (- (* c t) (* i y)))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	200	1357
1	531	1338
2	2278	1213
done	5002	1195

prune926.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.2b

localize48.0ms

Local error

Found 4 expressions with local error:

3.0b	(* z (* b c))
4.5b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 100

Calls

4 calls:

18.0ms	(* z (* b c))
47.0ms	(* x (- (* y z) (* t a)))
14.0ms	(* b (- (* i a)))
30.0ms	(* j (- (* c t) (* i y)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (* b c))
123.0ms	(* x (- (* y z) (* t a)))
54.0ms	(* b (- (* i a)))
92.0ms	(* j (- (* c t) (* i y)))

simplify1.3s

Counts

112 → 112

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	201	1139
1	524	1121
2	2237	998
done	5002	984

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.7b

localize78.0ms

Local error

Found 4 expressions with local error:

3.0b	(* z (* b c))
4.5b	(* x (- (* y z) (* t a)))
4.5b	(* (* i b) (- a))
6.5b	(* j (- (* c t) (* i y)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

28.0ms	(* z (* b c))
48.0ms	(* x (- (* y z) (* t a)))
38.0ms	(* (* i b) (- a))
30.0ms	(* j (- (* c t) (* i y)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (* b c))
108.0ms	(* x (- (* y z) (* t a)))
38.0ms	(* (* i b) (- a))
132.0ms	(* j (- (* c t) (* i y)))

simplify1.7s

Counts

116 → 116

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	213	1180
1	585	1155
2	3001	1023
done	5000	1015

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.8b

localize62.0ms

Local error

Found 4 expressions with local error:

6.5b	(* j (- (* c t) (* i y)))
16.6b	(cbrt (* (* i b) (- a)))
16.6b	(cbrt (* (* i b) (- a)))
16.6b	(cbrt (* (* i b) (- a)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

39.0ms	(* j (- (* c t) (* i y)))
25.0ms	(cbrt (* (* i b) (- a)))
23.0ms	(cbrt (* (* i b) (- a)))
16.0ms	(cbrt (* (* i b) (- a)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* j (- (* c t) (* i y)))
132.0ms	(cbrt (* (* i b) (- a)))
134.0ms	(cbrt (* (* i b) (- a)))
170.0ms	(cbrt (* (* i b) (- a)))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	117	847
1	287	835
2	1038	750
3	4986	732
done	5000	732

prune746.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.8b

regimes2.5s

Accuracy

25.5% (6.9b remaining)

Error of 10.7b against oracle of 3.8b and baseline of 13.1b

bsearch331.0ms

Steps

Iters	Range		Point
9	4.587148083635616e+119	4.803476458748667e+126	4.6607601208148895e+119
7	-1.0666451072638442e+61	-3.462784098905453e+59	-7.942597317353499e+59

simplify15.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	123
1	72	123
2	76	123
3	83	123
done	83	123

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

18889×

body

valid