Details

sample129.0ms

Algorithm

intervals

Results

54.0ms

623×

body

valid

simplify71.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
5.2b	(* b (- (* c z) (* i a)))
6.3b	(* x (- (* y z) (* t a)))
7.0b	(* j (- (* c t) (* i y)))

rewrite101.0ms

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	(- (* c t) (* i y))
27.0ms	(* b (- (* c z) (* i a)))
36.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* c t) (* i y))
82.0ms	(* b (- (* c z) (* i a)))
84.0ms	(* x (- (* y z) (* t a)))
78.0ms	(* j (- (* c t) (* i y)))

simplify48.0ms

Counts: 96 → 96

prune435.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.1b

localize34.0ms

Local error

Found 4 expressions with local error:

6.3b	(* x (- (* y z) (* t a)))
6.3b	(* x (- (* y z) (* t a)))
6.3b	(* x (- (* y z) (* t a)))
7.0b	(* j (- (* c t) (* i y)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

27.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* j (- (* c t) (* i y)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (- (* y z) (* t a)))
77.0ms	(* x (- (* y z) (* t a)))
79.0ms	(* x (- (* y z) (* t a)))
81.0ms	(* j (- (* c t) (* i y)))

simplify115.0ms

Counts: 108 → 108

prune556.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.0b

localize59.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (- (* y z) (* t a)))
6.9b	(cbrt (- (* y z) (* t a)))
6.9b	(cbrt (- (* y z) (* t a)))
7.0b	(* j (- (* c t) (* i y)))

rewrite49.0ms

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` `add-cbrt-cube`
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:

9.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (- (* y z) (* t a)))
140.0ms	(cbrt (- (* y z) (* t a)))
143.0ms	(cbrt (- (* y z) (* t a)))
77.0ms	(* j (- (* c t) (* i y)))

simplify92.0ms

Counts: 75 → 75

prune585.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 9.0b

localize47.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(cbrt (* b (- (* c z) (* i a))))
6.3b	(* x (- (* y z) (* t a)))
7.0b	(* j (- (* c t) (* i y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

11.0ms	(cbrt (* b (- (* c z) (* i a))))
12.0ms	(cbrt (* b (- (* c z) (* i a))))
27.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c t) (* i y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (* b (- (* c z) (* i a))))
182.0ms	(cbrt (* b (- (* c z) (* i a))))
83.0ms	(* x (- (* y z) (* t a)))
85.0ms	(* j (- (* c t) (* i y)))

simplify46.0ms

Counts: 82 → 82

prune405.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 9.0b

regimes1.3s

Accuracy

1.6% (3.9b remaining)

Error of 12.3b against oracle of 8.4b and baseline of 12.3b

bsearch116.0ms

Steps

Iters	Range		Point
6	6.237640781820632e-183	3.182359029533647e-182	1.2145487860367812e-182
2	-4.0555322950863055e-202	-3.6883197598136483e-202	-3.9178275943590593e-202

simplify2.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.0s

18960×

body

valid