Details

sample174.0ms

Algorithm

intervals

Results

95.0ms

570×

body

valid

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite116.0ms

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:

12.0ms	(- (* c t) (* i y))
36.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* c z) (* i a)))
37.0ms	(* j (- (* c t) (* i y)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* c t) (* i y))
89.0ms	(* x (- (* y z) (* t a)))
97.0ms	(* b (- (* c z) (* i a)))
91.0ms	(* j (- (* c t) (* i y)))

simplify827.0ms

Counts: 96 → 96

prune764.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
3.7b	(* (cbrt j) (- (* c t) (* i y)))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* i a)))

rewrite167.0ms

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:

66.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
32.0ms	(* (cbrt j) (- (* c t) (* i y)))
28.0ms	(* x (- (* y z) (* t a)))
38.0ms	(* b (- (* c z) (* i a)))

series585.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
301.0ms	(* (cbrt j) (- (* c t) (* i y)))
86.0ms	(* x (- (* y z) (* t a)))
89.0ms	(* b (- (* c z) (* i a)))

simplify931.0ms

Counts: 120 → 120

prune594.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.6b

localize27.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
5.3b	(* t (* j c))
5.7b	(* (- j) (* i y))
5.9b	(* b (- (* c z) (* i a)))

rewrite140.0ms

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:

44.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* t (* j c))
31.0ms	(* (- j) (* i y))
37.0ms	(* b (- (* c z) (* i a)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* t (* j c))
36.0ms	(* (- j) (* i y))
105.0ms	(* b (- (* c z) (* i a)))

simplify1.0s

Counts: 104 → 104

prune670.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.3b

localize43.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
5.1b	(* (* (- j) i) y)
5.3b	(* t (* j c))
5.9b	(* b (- (* c z) (* i a)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

45.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* (* (- j) i) y)
24.0ms	(* t (* j c))
56.0ms	(* b (- (* c z) (* i a)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* (* (- j) i) y)
27.0ms	(* t (* j c))
105.0ms	(* b (- (* c z) (* i a)))

simplify933.0ms

Counts: 97 → 97

prune525.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.0b

regimes1.6s

Accuracy

7.5% (6.5b remaining)

Error of 12.5b against oracle of 5.9b and baseline of 13.0b

bsearch414.0ms

Steps

Iters	Range		Point
8	6.4683932597778995e+97	2.147798437596699e+101	8.743680770649006e+97
9	-3.808556992387958e+26	-1.6943024821869621e+19	-2.889731688948513e+20

simplify2.2s

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.8s

18970×

body

valid