Details

sample124.0ms

Algorithm

intervals

Results

68.0ms

642×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (655.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	909	27
5	2811	27
done	5000	27

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.1b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite188.0ms

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:

17.0ms	(- (* y z) (* t a))
55.0ms	(* x (- (* y z) (* t a)))
57.0ms	(* b (- (* c z) (* i a)))
54.0ms	(* j (- (* c t) (* i y)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* y z) (* t a))
90.0ms	(* x (- (* y z) (* t a)))
93.0ms	(* b (- (* c z) (* i a)))
107.0ms	(* j (- (* c t) (* i y)))

simplify2.9s

Counts

112 → 112

Iterations

Useful iterations: 2 (327.0ms)

Iter	Nodes	Cost
0	199	1357
1	476	1338
2	1364	1195
3	4982	1195
done	5000	1195

prune747.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 2.7b

localize56.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (- (* y z) (* t a)))
4.2b	(* z (* b c))
4.7b	(* b (- (* i a)))
5.1b	(* j (- (* c t) (* i y)))

rewrite149.0ms

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:

39.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* z (* b c))
24.0ms	(* b (- (* i a)))
56.0ms	(* j (- (* c t) (* i y)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* x (- (* y z) (* t a)))
50.0ms	(* z (* b c))
46.0ms	(* b (- (* i a)))
127.0ms	(* j (- (* c t) (* i y)))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: 2 (347.0ms)

Iter	Nodes	Cost
0	201	1139
1	477	1121
2	1532	984
done	5000	984

prune793.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 2.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.4b	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
3.9b	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.1b	(* j (- (* c t) (* i y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

9.0ms	(- (* y z) (* t a))
0.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
0.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
48.0ms	(* j (- (* c t) (* i y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* y z) (* t a))
363.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
860.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
104.0ms	(* j (- (* c t) (* i y)))

simplify2.3s

Counts

76 → 76

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	137	1239
1	317	1223
2	891	1071
3	3119	1071
done	5001	1056

prune606.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.0b

localize52.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* i a)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))
5.7b	(cbrt (- (* c t) (* i y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

19.0ms	(* b (- (* i a)))
12.0ms	(cbrt (- (* c t) (* i y)))
13.0ms	(cbrt (- (* c t) (* i y)))
13.0ms	(cbrt (- (* c t) (* i y)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* b (- (* i a)))
174.0ms	(cbrt (- (* c t) (* i y)))
182.0ms	(cbrt (- (* c t) (* i y)))
197.0ms	(cbrt (- (* c t) (* i y)))

simplify4.1s

Counts

81 → 81

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	114	1047
1	285	999
2	910	927
3	3873	903
done	5001	858

prune677.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 2.0b

regimes2.0s

Accuracy

29.2% (6.7b remaining)

Error of 9.3b against oracle of 2.6b and baseline of 12.1b

bsearch331.0ms

Steps

Iters	Range		Point
8	2.508093924108378e-30	6.884513407096954e-27	6.970201098978967e-28
7	-1.7747398829225025e-44	-1.980906910978157e-46	-1.7464852263261916e-44

simplify31.0ms

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	43	104
1	73	73
2	85	73
3	91	73
done	91	73

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.2s

19018×

body

valid