Details

sample143.0ms

Algorithm

intervals

Results

73.0ms

625×

body

valid

simplify1.3s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))
6.3b	(* b (- (* c z) (* i a)))

rewrite120.0ms

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×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* y z) (* t a))
34.0ms	(* j (- (* c t) (* i y)))
36.0ms	(* x (- (* y z) (* t a)))
41.0ms	(* b (- (* c z) (* i a)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* y z) (* t a))
76.0ms	(* j (- (* c t) (* i y)))
75.0ms	(* x (- (* y z) (* t a)))
74.0ms	(* b (- (* c z) (* i a)))

simplify832.0ms

Counts: 96 → 96

prune577.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 7.8b

localize32.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
3.6b	(* (cbrt b) (- (* c z) (* i a)))
4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))

rewrite201.0ms

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×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `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:

99.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
29.0ms	(* (cbrt b) (- (* c z) (* i a)))
29.0ms	(* j (- (* c t) (* i y)))
39.0ms	(* x (- (* y z) (* t a)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
335.0ms	(* (cbrt b) (- (* c z) (* i a)))
81.0ms	(* j (- (* c t) (* i y)))
88.0ms	(* x (- (* y z) (* t a)))

simplify1.1s

Counts: 120 → 120

prune818.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 6.5b

localize28.0ms

Local error

Found 4 expressions with local error:

4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))
5.3b	(* (- b) (* i a))
5.8b	(* z (* b c))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

48.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* (- b) (* i a))
16.0ms	(* z (* b c))

series276.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* j (- (* c t) (* i y)))
104.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* (- b) (* i a))
48.0ms	(* z (* b c))

simplify1.0s

Counts: 104 → 104

prune884.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 5.5b

localize55.0ms

Local error

Found 4 expressions with local error:

4.1b	(* j (- (* c t) (* i y)))
4.6b	(* x (- (* y z) (* t a)))
5.6b	(* (* (- b) i) a)
5.8b	(* z (* b c))

rewrite151.0ms

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`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-lft-neg-out` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

32.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* x (- (* y z) (* t a)))
42.0ms	(* (* (- b) i) a)
46.0ms	(* z (* b c))

series328.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* j (- (* c t) (* i y)))
124.0ms	(* x (- (* y z) (* t a)))
54.0ms	(* (* (- b) i) a)
42.0ms	(* z (* b c))

simplify859.0ms

Counts: 97 → 97

prune521.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 5.0b

regimes2.5s

Accuracy

9.2% (6.6b remaining)

Error of 12.4b against oracle of 5.8b and baseline of 13.1b

bsearch331.0ms

Steps

Iters	Range		Point
7	1.1235842665517477e-243	6.5331719134673395e-242	8.257681550952632e-243
8	-2.2964224572315732e-105	-1.3849030437883475e-109	-3.4965273008828016e-109

simplify1.7s

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.9s

19083×

body

valid