Details

sample107.0ms

Algorithm

intervals

Results

54.0ms

606×

body

valid

simplify73.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.4b	(* b (- (* c z) (* t i)))
4.7b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

38.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
26.0ms	(* b (- (* c z) (* t i)))
34.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* x (- (* y z) (* t a)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
78.0ms	(* b (- (* c z) (* t i)))
72.0ms	(* j (- (* c a) (* y i)))
81.0ms	(* x (- (* y z) (* t a)))

simplify80.0ms

Counts: 108 → 108

prune512.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.4b

localize28.0ms

Local error

Found 4 expressions with local error:

4.0b	(* j (* c a))
4.4b	(* b (- (* c z) (* t i)))
5.1b	(* j (- (* y i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite95.0ms

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` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `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 → 88

Calls

4 calls:

18.0ms	(* j (* c a))
27.0ms	(* b (- (* c z) (* t i)))
12.0ms	(* j (- (* y i)))
37.0ms	(* x (- (* y z) (* t a)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* j (* c a))
76.0ms	(* b (- (* c z) (* t i)))
32.0ms	(* j (- (* y i)))
74.0ms	(* x (- (* y z) (* t a)))

simplify56.0ms

Counts: 100 → 100

prune486.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.7b

localize35.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (cbrt j) (* c a))
4.4b	(* b (- (* c z) (* t i)))
5.1b	(* j (- (* y i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

20.0ms	(* (cbrt j) (* c a))
27.0ms	(* b (- (* c z) (* t i)))
12.0ms	(* j (- (* y i)))
35.0ms	(* x (- (* y z) (* t a)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt j) (* c a))
75.0ms	(* b (- (* c z) (* t i)))
32.0ms	(* j (- (* y i)))
74.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Counts: 103 → 103

prune599.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.7b

localize37.0ms

Local error

Found 4 expressions with local error:

6.3b	(* x (- (* y z) (* t a)))
18.2b	(cbrt (* j (* c a)))
18.2b	(cbrt (* j (* c a)))
18.2b	(cbrt (* j (* c a)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

26.0ms	(* x (- (* y z) (* t a)))
10.0ms	(cbrt (* j (* c a)))
11.0ms	(cbrt (* j (* c a)))
20.0ms	(cbrt (* j (* c a)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (- (* y z) (* t a)))
104.0ms	(cbrt (* j (* c a)))
102.0ms	(cbrt (* j (* c a)))
103.0ms	(cbrt (* j (* c a)))

simplify75.0ms

Counts: 63 → 63

prune342.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 3.7b

regimes1.2s

Accuracy

3.1% (8.9b remaining)

Error of 12.0b against oracle of 3.1b and baseline of 12.3b

bsearch286.0ms

Steps

Iters	Range		Point
8	5.250085667524589e-225	8.208441931764514e-221	5.532957602419464e-223
9	-7.933439553132484e+31	-4.728082357536247e+26	-1.0113948341888506e+27

simplify2.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.7s

19277×

body

valid