Details

sample117.0ms

Algorithm

intervals

Results

62.0ms

624×

body

valid

simplify1.3s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
4.5b	(* j (- (* c a) (* y i)))
5.7b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* t i)))

rewrite174.0ms

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:

15.0ms	(- (* c a) (* y i))
58.0ms	(* j (- (* c a) (* y i)))
38.0ms	(* x (- (* y z) (* t a)))
57.0ms	(* b (- (* c z) (* t i)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* c a) (* y i))
80.0ms	(* j (- (* c a) (* y i)))
84.0ms	(* x (- (* y z) (* t a)))
109.0ms	(* b (- (* c z) (* t i)))

simplify1.2s

Counts: 96 → 96

prune564.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.3b

localize50.0ms

Local error

Found 4 expressions with local error:

4.5b	(* j (- (* c a) (* y i)))
5.3b	(* (- (* x t)) a)
5.9b	(* b (- (* c z) (* t i)))
7.3b	(* x (* y z))

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

351.0ms	(* j (- (* c a) (* y i)))
22.0ms	(* (- (* x t)) a)
27.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* x (* y z))

series238.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* j (- (* c a) (* y i)))
45.0ms	(* (- (* x t)) a)
83.0ms	(* b (- (* c z) (* t i)))
27.0ms	(* x (* y z))

simplify796.0ms

Counts: 100 → 100

prune705.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 1.5b

localize33.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (* x y) z)
4.5b	(* j (- (* c a) (* y i)))
5.3b	(* (- (* x t)) a)
5.9b	(* b (- (* c z) (* t i)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
12×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

27.0ms	(* (* x y) z)
30.0ms	(* j (- (* c a) (* y i)))
14.0ms	(* (- (* x t)) a)
44.0ms	(* b (- (* c z) (* t i)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x y) z)
106.0ms	(* j (- (* c a) (* y i)))
43.0ms	(* (- (* x t)) a)
93.0ms	(* b (- (* c z) (* t i)))

simplify899.0ms

Counts: 100 → 100

prune734.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 1.3b

localize50.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* x y) (* (cbrt z) (cbrt z)))
4.5b	(* j (- (* c a) (* y i)))
5.3b	(* (- (* x t)) a)
5.9b	(* b (- (* c z) (* t i)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
18×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 92

Calls

4 calls:

69.0ms	(* (* x y) (* (cbrt z) (cbrt z)))
27.0ms	(* j (- (* c a) (* y i)))
11.0ms	(* (- (* x t)) a)
52.0ms	(* b (- (* c z) (* t i)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (* x y) (* (cbrt z) (cbrt z)))
107.0ms	(* j (- (* c a) (* y i)))
52.0ms	(* (- (* x t)) a)
179.0ms	(* b (- (* c z) (* t i)))

simplify1.0s

Counts: 104 → 104

prune643.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.3b

regimes1.6s

Accuracy

6.1% (10.7b remaining)

Error of 12.0b against oracle of 1.3b and baseline of 12.7b

bsearch1.1s

Steps

Iters	Range		Point
8	1.7590558478854495e-42	2.0886449257109496e-39	2.530556207066626e-42
2	4.3716335572450885e-177	5.318653365045227e-177	4.963520937120174e-177
6	7.754536275790015e-219	1.1763156855867989e-217	9.66752343858949e-219
8	-4.188268499705809e-279	-1.4289672131427612e-282	-1.6033943208636346e-282
9	-4.448143537940697e-228	-4.8096937855224185e-235	-3.6394349217774837e-234
5	-2.382770503819652e-119	-6.1167216403510395e-120	-1.4395905533576212e-119
8	-1.4709846806553225e+81	-3.335351084477699e+76	-2.0794264422039532e+80

simplify1.7s

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.3s

19006×

body

valid