Details

sample220.0ms

Algorithm

intervals

Results

120.0ms

647×

body

valid

simplify85.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.7b	(* b (- (* c z) (* i a)))
4.2b	(* j (- (* c t) (* i y)))
5.3b	(* x (- (* y z) (* t a)))

rewrite193.0ms

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:

50.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
56.0ms	(* b (- (* c z) (* i a)))
34.0ms	(* j (- (* c t) (* i y)))
47.0ms	(* x (- (* y z) (* t a)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
74.0ms	(* b (- (* c z) (* i a)))
77.0ms	(* j (- (* c t) (* i y)))
92.0ms	(* x (- (* y z) (* t a)))

simplify66.0ms

Counts: 108 → 108

prune600.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.3b

localize35.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
2.5b	(* (cbrt b) (- (* c z) (* i a)))
4.2b	(* j (- (* c t) (* i y)))
5.3b	(* x (- (* y z) (* t a)))

rewrite223.0ms

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:

94.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
46.0ms	(* (cbrt b) (- (* c z) (* i a)))
26.0ms	(* j (- (* c t) (* i y)))
50.0ms	(* x (- (* y z) (* t a)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
384.0ms	(* (cbrt b) (- (* c z) (* i a)))
103.0ms	(* j (- (* c t) (* i y)))
126.0ms	(* x (- (* y z) (* t a)))

simplify80.0ms

Counts: 120 → 120

prune789.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.3b

localize41.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (- b) (* i a))
4.2b	(* j (- (* c t) (* i y)))
4.6b	(* z (* b c))
5.3b	(* x (- (* y z) (* t a)))

rewrite123.0ms

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:

22.0ms	(* (- b) (* i a))
33.0ms	(* j (- (* c t) (* i y)))
16.0ms	(* z (* b c))
49.0ms	(* x (- (* y z) (* t a)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- b) (* i a))
97.0ms	(* j (- (* c t) (* i y)))
34.0ms	(* z (* b c))
90.0ms	(* x (- (* y z) (* t a)))

simplify62.0ms

Counts: 104 → 104

prune615.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.3b

localize85.0ms

Local error

Found 4 expressions with local error:

5.3b	(* x (- (* y z) (* t a)))
5.7b	(cbrt (* x (- (* y z) (* t a))))
5.7b	(cbrt (* x (- (* y z) (* t a))))
5.7b	(cbrt (* x (- (* y z) (* t a))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

35.0ms	(* x (- (* y z) (* t a)))
11.0ms	(cbrt (* x (- (* y z) (* t a))))
11.0ms	(cbrt (* x (- (* y z) (* t a))))
11.0ms	(cbrt (* x (- (* y z) (* t a))))

series732.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (- (* y z) (* t a)))
199.0ms	(cbrt (* x (- (* y z) (* t a))))
208.0ms	(cbrt (* x (- (* y z) (* t a))))
230.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify103.0ms

Counts: 69 → 69

prune617.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 3.3b

regimes2.0s

Accuracy

27.4% (5.8b remaining)

Error of 10.2b against oracle of 4.5b and baseline of 12.4b

bsearch463.0ms

Steps

Iters	Range		Point
9	1.8438196146846028e+56	1.5458480403201116e+63	1.713158425446813e+57
10	-680549651187110.1	-31795.57531238814	-4544251161.477652

simplify161.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.4s

19273×

body

valid