Details

sample68.0ms

Algorithm

intervals

Results

35.0ms

535×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	294	28
4	862	27
5	2829	27
done	5000	27

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))
6.0b	(* j (- (* c a) (* y i)))

rewrite35.0ms

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

series248.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* c a) (* y i))
69.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* b (- (* c z) (* t i)))
73.0ms	(* j (- (* c a) (* y i)))

simplify614.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	200	1357
1	488	1338
2	1812	1195
done	5000	1195

prune520.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
5.2b	(* (- (* t i)) b)
6.0b	(* j (- (* c a) (* y i)))
6.1b	(* z (* b c))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 100

Calls

4 calls:

10.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* (- (* t i)) b)
10.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* z (* b c))

series197.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* (- (* t i)) b)
72.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* z (* b c))

simplify886.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	198	1141
1	483	1123
2	1950	987
done	5000	987

prune534.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.2b

localize23.0ms

Local error

Found 4 expressions with local error:

3.0b	(* t (* i b))
4.7b	(* x (- (* y z) (* t a)))
6.0b	(* j (- (* c a) (* y i)))
6.1b	(* z (* b c))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `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`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* t (* i b))
73.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* j (- (* c a) (* y i)))
31.0ms	(* z (* b c))

simplify595.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	195	1094
1	476	1082
2	1720	936
done	5001	936

prune495.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.2b

localize23.0ms

Local error

Found 4 expressions with local error:

3.0b	(* t (* i b))
4.7b	(* x (- (* y z) (* t a)))
5.7b	(* (* z b) c)
6.0b	(* j (- (* c a) (* y i)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `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`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* t (* i b))
10.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* (* z b) c)
11.0ms	(* j (- (* c a) (* y i)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* t (* i b))
72.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* (* z b) c)
72.0ms	(* j (- (* c a) (* y i)))

simplify656.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	198	1097
1	486	1083
2	1864	937
done	5000	937

prune422.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.2b

regimes1.1s

Accuracy

19.4% (7.4b remaining)

Error of 11.2b against oracle of 3.9b and baseline of 13.0b

bsearch117.0ms

Steps

Iters	Range		Point
3	7.721321518727541e-10	8.965851528236555e-10	7.799104644321854e-10
5	-4.516844723916959e-34	-1.567822962827994e-34	-3.7660440731317677e-34

simplify17.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	125
1	91	125
2	110	125
3	111	125
done	111	125

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19202×

body

valid