Details

sample78.0ms

Algorithm

intervals

Results

41.0ms

628×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (117.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	292	28
4	825	27
5	2561	27
done	5000	27

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
3.1b	(* b (- (* c z) (* t i)))
5.6b	(* x (- (* y z) (* t a)))
6.4b	(* j (- (* c a) (* y i)))

rewrite37.0ms

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:

3.0ms	(- (* c a) (* y i))
10.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* x (- (* y z) (* t a)))
11.0ms	(* j (- (* c a) (* y i)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* c a) (* y i))
70.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* x (- (* y z) (* t a)))
71.0ms	(* j (- (* c a) (* y i)))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	200	1357
1	468	1338
2	1319	1209
3	4418	1195
done	5001	1188

prune538.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.2b

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b	(* b (- (* c z) (* t i)))
4.9b	(* a (* j c))
4.9b	(* j (- (* y i)))
5.6b	(* x (- (* y z) (* t a)))

rewrite35.0ms

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:

10.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* a (* j c))
5.0ms	(* j (- (* y i)))
10.0ms	(* x (- (* y z) (* t a)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* a (* j c))
26.0ms	(* j (- (* y i)))
72.0ms	(* x (- (* y z) (* t a)))

simplify832.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	200	1139
1	475	1121
2	1484	984
done	5001	984

prune535.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.6b

localize26.0ms

Local error

Found 4 expressions with local error:

3.1b	(* b (- (* c z) (* t i)))
4.4b	(* (* j y) (- i))
4.9b	(* a (* j c))
5.6b	(* x (- (* y z) (* t a)))

rewrite38.0ms

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:

11.0ms	(* b (- (* c z) (* t i)))
8.0ms	(* (* j y) (- i))
6.0ms	(* a (* j c))
10.0ms	(* x (- (* y z) (* t a)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* (* j y) (- i))
26.0ms	(* a (* j c))
69.0ms	(* x (- (* y z) (* t a)))

simplify1.0s

Counts

116 → 116

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	213	1180
1	532	1154
2	1792	1007
done	5000	1007

prune539.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* j y) (- i))
4.7b	(* (* y z) x)
4.9b	(* a (* j c))
4.9b	(* a (* x t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`associate-r`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* (* j y) (- i))
7.0ms	(* (* y z) x)
6.0ms	(* a (* j c))
6.0ms	(* a (* x t))

series113.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* j y) (- i))
22.0ms	(* (* y z) x)
25.0ms	(* a (* j c))
34.0ms	(* a (* x t))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	157	737
1	409	709
2	1658	588
done	5001	588

prune389.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.5b

regimes1.6s

Accuracy

31.9% (7.0b remaining)

Error of 9.3b against oracle of 2.3b and baseline of 12.6b

bsearch221.0ms

Steps

Iters	Range		Point
10	8.812212705677096e+46	9.937123255452874e+57	1.0848458637682776e+49
6	-9.946132339945494e-44	-2.087725720875515e-44	-5.443111445316574e-44

simplify12.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	107
1	72	76
2	83	76
3	90	76
done	90	76

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19185×

body

valid