Details

sample160.0ms

Algorithm

intervals

Results

85.0ms

611×

body

valid

simplify93.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
4.9b	(* j (- (* c a) (* y i)))
6.0b	(* b (- (* c z) (* t i)))

rewrite147.0ms

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:

9.0ms	(- (* c a) (* y i))
33.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* j (- (* c a) (* y i)))
61.0ms	(* b (- (* c z) (* t i)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (* c a) (* y i))
103.0ms	(* x (- (* y z) (* t a)))
80.0ms	(* j (- (* c a) (* y i)))
82.0ms	(* b (- (* c z) (* t i)))

simplify65.0ms

Counts: 96 → 96

prune955.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.7b

localize59.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
3.4b	(* (cbrt b) (- (* c z) (* t i)))
4.7b	(* x (- (* y z) (* t a)))
4.9b	(* j (- (* c a) (* y i)))

rewrite239.0ms

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:

95.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
39.0ms	(* (cbrt b) (- (* c z) (* t i)))
46.0ms	(* x (- (* y z) (* t a)))
51.0ms	(* j (- (* c a) (* y i)))

series784.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
421.0ms	(* (cbrt b) (- (* c z) (* t i)))
123.0ms	(* x (- (* y z) (* t a)))
91.0ms	(* j (- (* c a) (* y i)))

simplify89.0ms

Counts: 120 → 120

prune683.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

localize61.0ms

Local error

Found 4 expressions with local error:

6.0b	(* b (- (* c z) (* t i)))
7.9b	(cbrt (* j (- (* c a) (* y i))))
7.9b	(cbrt (* j (- (* c a) (* y i))))
7.9b	(cbrt (* j (- (* c a) (* y i))))

rewrite97.0ms

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:

37.0ms	(* b (- (* c z) (* t i)))
28.0ms	(cbrt (* j (- (* c a) (* y i))))
12.0ms	(cbrt (* j (- (* c a) (* y i))))
18.0ms	(cbrt (* j (- (* c a) (* y i))))

series730.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* b (- (* c z) (* t i)))
192.0ms	(cbrt (* j (- (* c a) (* y i))))
219.0ms	(cbrt (* j (- (* c a) (* y i))))
227.0ms	(cbrt (* j (- (* c a) (* y i))))

simplify143.0ms

Counts: 69 → 69

prune612.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.2b

localize42.0ms

Local error

Found 4 expressions with local error:

6.0b	(* b (- (* c z) (* t i)))
7.3b	(cbrt (- (* c a) (* y i)))
7.9b	(cbrt (* j (- (* c a) (* y i))))
7.9b	(cbrt (* j (- (* c a) (* y i))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`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 → 59

Calls

4 calls:

31.0ms	(* b (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c a) (* y i)))
13.0ms	(cbrt (* j (- (* c a) (* y i))))
21.0ms	(cbrt (* j (- (* c a) (* y i))))

series590.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* b (- (* c z) (* t i)))
151.0ms	(cbrt (- (* c a) (* y i)))
159.0ms	(cbrt (* j (- (* c a) (* y i))))
194.0ms	(cbrt (* j (- (* c a) (* y i))))

simplify128.0ms

Counts: 71 → 71

prune612.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.2b

regimes1.6s

Accuracy

7.5% (4.6b remaining)

Error of 11.8b against oracle of 7.2b and baseline of 12.1b

bsearch200.0ms

Steps

Iters	Range		Point
9	2.4511370194752685e-297	4.891431680679722e-292	6.405155247491063e-293
4	-3.0454176355013735e-169	-2.131768509470372e-169	-2.333089443411725e-169

simplify69.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.4s

18949×

body

valid