Details

sample122.0ms

Algorithm

intervals

Results

57.0ms

575×

body

valid

simplify1.3s

Counts: 1 → 1

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
5.6b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))
7.0b	(* j (- (* c t) (* i y)))

rewrite536.0ms

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:

14.0ms	(- (* y z) (* t a))
44.0ms	(* b (- (* c z) (* i a)))
444.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* j (- (* c t) (* i y)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* y z) (* t a))
109.0ms	(* b (- (* c z) (* i a)))
103.0ms	(* x (- (* y z) (* t a)))
119.0ms	(* j (- (* c t) (* i y)))

simplify764.0ms

Counts: 96 → 96

prune685.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.9b

localize32.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x (- (* y z) (* t a)))
9.1b	(cbrt (- (* c t) (* i y)))
9.1b	(cbrt (- (* c t) (* i y)))
9.1b	(cbrt (- (* c t) (* i y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

37.0ms	(* x (- (* y z) (* t a)))
6.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))

series692.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* x (- (* y z) (* t a)))
190.0ms	(cbrt (- (* c t) (* i y)))
212.0ms	(cbrt (- (* c t) (* i y)))
180.0ms	(cbrt (- (* c t) (* i y)))

simplify1.8s

Counts: 75 → 75

prune714.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.9b

localize78.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (cbrt j) (- (* c t) (* i y)))
4.0b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
5.6b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))

rewrite242.0ms

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:

65.0ms	(* (cbrt j) (- (* c t) (* i y)))
95.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
46.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* x (- (* y z) (* t a)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

493.0ms	(* (cbrt j) (- (* c t) (* i y)))
174.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
146.0ms	(* b (- (* c z) (* i a)))
109.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts: 120 → 120

prune850.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.9b

localize29.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (- j) (* i y))
5.6b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))
6.5b	(* t (* j c))

rewrite170.0ms

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:

42.0ms	(* (- j) (* i y))
42.0ms	(* b (- (* c z) (* i a)))
59.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* t (* j c))

series323.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- j) (* i y))
119.0ms	(* b (- (* c z) (* i a)))
105.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* t (* j c))

simplify1.0s

Counts: 104 → 104

prune657.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 5.4b

regimes2.2s

Accuracy

3.2% (6.6b remaining)

Error of 12.4b against oracle of 5.8b and baseline of 12.6b

bsearch515.0ms

Steps

Iters	Range		Point
9	1.7931042710802973e+19	1.6825485275834064e+27	1.663620795834413e+24
9	-2.4070176293894375e+115	-2.2226638360263163e+108	-1.720736101505765e+109

simplify1.3s

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.9s

19116×

body

valid