Details

sample141.0ms

Algorithm

intervals

Results

70.0ms

573×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	953
3	290
2	96
1	43
0	23

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.7b	(* b (- (* c z) (* t i)))
5.2b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

6.0ms	(- (* y z) (* t a))
21.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* j (- (* c a) (* y i)))
21.0ms	(* x (- (* y z) (* t a)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* y z) (* t a))
89.0ms	(* b (- (* c z) (* t i)))
82.0ms	(* j (- (* c a) (* y i)))
84.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1805
1	458
0	166

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.2b

localize142.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (- (* c z) (* t i)))
6.0b	(cbrt (- (* c z) (* t i)))
6.0b	(cbrt (- (* c z) (* t i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
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:

9.0ms	(cbrt (- (* c z) (* t i)))
9.0ms	(cbrt (- (* c z) (* t i)))
9.0ms	(cbrt (- (* c z) (* t i)))
41.0ms	(* x (- (* y z) (* t a)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- (* c z) (* t i)))
182.0ms	(cbrt (- (* c z) (* t i)))
165.0ms	(cbrt (- (* c z) (* t i)))
89.0ms	(* x (- (* y z) (* t a)))

simplify2.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	4017
2	1017
1	324
0	122

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.2b

localize103.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* j (- (* c a) (* y i))))
6.1b	(cbrt (* j (- (* c a) (* y i))))
6.1b	(cbrt (* j (- (* c a) (* y i))))
6.3b	(* x (- (* y z) (* t a)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
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:

17.0ms	(cbrt (* j (- (* c a) (* y i))))
10.0ms	(cbrt (* j (- (* c a) (* y i))))
8.0ms	(cbrt (* j (- (* c a) (* y i))))
28.0ms	(* x (- (* y z) (* t a)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (* j (- (* c a) (* y i))))
196.0ms	(cbrt (* j (- (* c a) (* y i))))
223.0ms	(cbrt (* j (- (* c a) (* y i))))
97.0ms	(* x (- (* y z) (* t a)))

simplify2.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	4742
2	1103
1	323
0	123

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.2b

localize135.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* j (- (* c a) (* y i))))
6.1b	(cbrt (* j (- (* c a) (* y i))))
6.3b	(* x (- (* y z) (* t a)))
6.4b	(cbrt (- (* c a) (* y i)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `associate-*r/` `add-exp-log`
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:

8.0ms	(cbrt (* j (- (* c a) (* y i))))
8.0ms	(cbrt (* j (- (* c a) (* y i))))
25.0ms	(* x (- (* y z) (* t a)))
9.0ms	(cbrt (- (* c a) (* y i)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (* j (- (* c a) (* y i))))
184.0ms	(cbrt (* j (- (* c a) (* y i))))
123.0ms	(* x (- (* y z) (* t a)))
135.0ms	(cbrt (- (* c a) (* y i)))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1280
1	397
0	156

prune961.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

regimes2.9s

Accuracy

0% (3.8b remaining)

Error of 12.4b against oracle of 8.6b and baseline of 12.4b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	37
1	37
0	26

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.5s

19221×

body

valid