Details

sample81.0ms

Algorithm

intervals

Results

35.0ms

630×

body

valid

simplify88.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13
done	5001	13

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
4.0b	(* x (- (* y z) (* t a)))
4.4b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite90.0ms

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:

8.0ms	(- (* c z) (* i a))
26.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* b (- (* c z) (* i a)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* c z) (* i a))
74.0ms	(* x (- (* y z) (* t a)))
73.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* b (- (* c z) (* i a)))

simplify56.0ms

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	478	643
1	1976	572
2	5001	572
done	5001	572

prune712.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
4.0b	(* x (- (* y z) (* t a)))
4.4b	(* j (fma c t (- (* y i))))
6.2b	(* b (- (* c z) (* i a)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

8.0ms	(- (* c z) (* i a))
30.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* j (fma c t (- (* y i))))
27.0ms	(* b (- (* c z) (* i a)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* c z) (* i a))
74.0ms	(* x (- (* y z) (* t a)))
74.0ms	(* j (fma c t (- (* y i))))
72.0ms	(* b (- (* c z) (* i a)))

simplify54.0ms

Counts

106 → 106

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	428	603
1	1751	533
2	5001	533
done	5001	533

prune561.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.2b

localize30.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (* t a)))
4.4b	(* j (fma c t (- (* y i))))
4.9b	(* x (* y z))
6.2b	(* b (- (* c z) (* i a)))

rewrite65.0ms

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×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`sub-neg` `associate-*r/` `prod-diff` `fma-udef`
1×	`distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `flip--`

Counts

4 → 94

Calls

4 calls:

13.0ms	(* x (- (* t a)))
7.0ms	(* j (fma c t (- (* y i))))
16.0ms	(* x (* y z))
26.0ms	(* b (- (* c z) (* i a)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* x (- (* t a)))
77.0ms	(* j (fma c t (- (* y i))))
29.0ms	(* x (* y z))
74.0ms	(* b (- (* c z) (* i a)))

simplify58.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	427	510
1	1956	444
2	5001	442
done	5001	442

prune561.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.0b

localize30.0ms

Local error

Found 4 expressions with local error:

4.0b	(* x (- (* y z) (* t a)))
4.4b	(* j (fma c t (- (* y i))))
6.2b	(* b (- (* z c) (* a i)))
48.8b	(fma (- a) i (* a i))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

29.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* j (fma c t (- (* y i))))
26.0ms	(* b (- (* z c) (* a i)))
0.0ms	(fma (- a) i (* a i))

series258.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* x (- (* y z) (* t a)))
77.0ms	(* j (fma c t (- (* y i))))
80.0ms	(* b (- (* z c) (* a i)))
29.0ms	(fma (- a) i (* a i))

simplify56.0ms

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	411	562
1	1679	493
2	5001	493
done	5001	493

prune489.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.0b

regimes1.2s

Accuracy

23.1% (4.4b remaining)

Error of 10.9b against oracle of 6.5b and baseline of 12.3b

bsearch215.0ms

Steps

Iters	Range		Point
8	1.4123862412601977e+59	1.2422352178005964e+63	1.7909646362893255e+61
7	-7.056381461309724e+40	-1.1737968291850349e+39	-2.4461250474772235e+40

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	42
1	91	42
2	92	42
3	92	42
done	92	42

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

19148×

body

valid