Details

sample142.0ms

Algorithm

intervals

Results

82.0ms

569×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	950
3	290
2	96
1	43
0	23

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.5b	(* b (- (* c z) (* i a)))
4.7b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-add`
11×	`sub-neg`
10×	`distribute-rgt-in` `pow1` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
4×	`associate-+r+` `associate--l+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 107

Calls

4 calls:

72.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
37.0ms	(* b (- (* c z) (* i a)))
39.0ms	(* j (- (* c t) (* i y)))
38.0ms	(* x (- (* y z) (* t a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

879.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
100.0ms	(* b (- (* c z) (* i a)))
91.0ms	(* j (- (* c t) (* i y)))
107.0ms	(* x (- (* y z) (* t a)))

simplify1.9s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
1	1003
0	275

prune1.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.3b

localize101.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c t) (* i y)))
7.9b	(cbrt (- (* y z) (* t a)))
7.9b	(cbrt (- (* y z) (* t a)))
7.9b	(cbrt (- (* y z) (* t a)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

22.0ms	(* j (- (* c t) (* i y)))
6.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
9.0ms	(cbrt (- (* y z) (* t a)))

series705.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* j (- (* c t) (* i y)))
215.0ms	(cbrt (- (* y z) (* t a)))
185.0ms	(cbrt (- (* y z) (* t a)))
193.0ms	(cbrt (- (* y z) (* t a)))

simplify2.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
3	4113
2	1026
1	324
0	122

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.2b

localize130.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.5b	(* (cbrt x) (- (* y z) (* t a)))
4.5b	(* b (- (* c z) (* i a)))
4.7b	(* j (- (* c t) (* i y)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

90.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
26.0ms	(* (cbrt x) (- (* y z) (* t a)))
49.0ms	(* b (- (* c z) (* i a)))
44.0ms	(* j (- (* c t) (* i y)))

series805.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
447.0ms	(* (cbrt x) (- (* y z) (* t a)))
106.0ms	(* b (- (* c z) (* i a)))
114.0ms	(* j (- (* c t) (* i y)))

simplify2.8s

Counts

120 → 120

Iterations

Iter	Nodes
done	5003
2	3177
1	618
0	209

prune1.6s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 5.8b

localize92.0ms

Local error

Found 4 expressions with local error:

4.5b	(* b (- (* c z) (* i a)))
4.7b	(* j (- (* c t) (* i y)))
4.9b	(* (* x y) z)
5.6b	(* x (* (- a) t))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-rgt-neg-out`

Counts

4 → 85

Calls

4 calls:

42.0ms	(* b (- (* c z) (* i a)))
43.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* (* x y) z)
25.0ms	(* x (* (- a) t))

series357.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* b (- (* c z) (* i a)))
138.0ms	(* j (- (* c t) (* i y)))
43.0ms	(* (* x y) z)
49.0ms	(* x (* (- a) t))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2300
1	494
0	180

prune1.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 4.1b

regimes4.9s

Accuracy

21.5% (6.2b remaining)

Error of 10.9b against oracle of 4.7b and baseline of 12.6b

bsearch451.0ms

Steps

Iters	Range		Point
7	1.1971990557645897e+85	8.063094116305338e+86	7.708714260711597e+86
10	-1.3797524496875887e+78	-1.5745563164383082e+67	-6.2622282597039444e+72

simplify24.0ms

Iterations

Iter	Nodes
done	78
3	78
2	74
1	66
0	44

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.6s

18886×

body

valid