Details

sample120.0ms

Algorithm

intervals

Results

67.0ms

599×

body

valid

simplify1.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.5b	(* x (- (* y z) (* t a)))
4.7b	(* j (- (* c a) (* y i)))
6.0b	(* b (- (* c z) (* t i)))

rewrite119.0ms

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 a) (* y i))
32.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (- (* c a) (* y i)))
49.0ms	(* b (- (* c z) (* t i)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* c a) (* y i))
77.0ms	(* x (- (* y z) (* t a)))
85.0ms	(* j (- (* c a) (* y i)))
86.0ms	(* b (- (* c z) (* t i)))

simplify846.0ms

Counts: 96 → 96

prune530.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.7b

localize36.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (* j (- (* c a) (* y i))))
6.0b	(cbrt (* j (- (* c a) (* y i))))
6.0b	(cbrt (* j (- (* c a) (* y i))))
6.0b	(* b (- (* c z) (* t i)))

rewrite70.0ms

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:

11.0ms	(cbrt (* j (- (* c a) (* y i))))
11.0ms	(cbrt (* j (- (* c a) (* y i))))
12.0ms	(cbrt (* j (- (* c a) (* y i))))
35.0ms	(* b (- (* c z) (* t i)))

series648.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (* j (- (* c a) (* y i))))
167.0ms	(cbrt (* j (- (* c a) (* y i))))
219.0ms	(cbrt (* j (- (* c a) (* y i))))
76.0ms	(* b (- (* c z) (* t i)))

simplify1.8s

Counts: 69 → 69

prune559.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.7b

localize40.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.8b	(* (cbrt b) (- (* c z) (* t i)))
4.5b	(* x (- (* y z) (* t a)))
4.7b	(* j (- (* c a) (* y i)))

rewrite212.0ms

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:

107.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
40.0ms	(* (cbrt b) (- (* c z) (* t i)))
33.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c a) (* y i)))

series793.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
426.0ms	(* (cbrt b) (- (* c z) (* t i)))
108.0ms	(* x (- (* y z) (* t a)))
112.0ms	(* j (- (* c a) (* y i)))

simplify1.2s

Counts: 120 → 120

prune810.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.1b

localize33.0ms

Local error

Found 4 expressions with local error:

4.5b	(* x (- (* y z) (* t a)))
4.7b	(* j (- (* c a) (* y i)))
5.1b	(* z (* b c))
5.1b	(* (- b) (* t i))

rewrite138.0ms

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:

39.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c a) (* y i)))
33.0ms	(* z (* b c))
36.0ms	(* (- b) (* t i))

series282.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* x (- (* y z) (* t a)))
99.0ms	(* j (- (* c a) (* y i)))
35.0ms	(* z (* b c))
44.0ms	(* (- b) (* t i))

simplify1.1s

Counts: 104 → 104

prune553.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.6b

regimes2.0s

Accuracy

5.7% (6.6b remaining)

Error of 12.7b against oracle of 6.1b and baseline of 13.1b

bsearch305.0ms

Steps

Iters	Range		Point
6	4.4587200018957705e-99	3.4142874713695427e-98	4.5429529573147235e-99
10	-5.359852478569106e-255	-5.6109926226318944e-266	-1.624488299352209e-261

simplify2.4s

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.4s

18914×

body

valid