Details

sample81.0ms

Algorithm

intervals

Results

35.0ms

580×

body

valid

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.0b	(* j (- (* c t) (* i y)))
4.0b	(* b (- (* c z) (* i a)))
4.8b	(* x (- (* y z) (* t a)))

rewrite90.0ms

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:

8.0ms	(- (* c z) (* i a))
27.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* c z) (* i a))
73.0ms	(* j (- (* c t) (* i y)))
69.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485
done	5002	485

prune403.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.1b

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b	(* b (- (* c z) (* i a)))
5.4b	(cbrt (- (* y z) (* t a)))
5.4b	(cbrt (- (* y z) (* t a)))
5.4b	(cbrt (- (* y z) (* t a)))

rewrite45.0ms

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:

25.0ms	(* b (- (* c z) (* i a)))
5.0ms	(cbrt (- (* y z) (* t a)))
7.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* i a)))
122.0ms	(cbrt (- (* y z) (* t a)))
127.0ms	(cbrt (- (* y z) (* t a)))
121.0ms	(cbrt (- (* y z) (* t a)))

simplify103.0ms

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	312	590
1	1053	543
2	3722	525
3	5001	519
done	5001	519

prune465.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.1b

localize28.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
4.9b	(cbrt (- (* c t) (* i y)))
4.9b	(cbrt (- (* c t) (* i y)))
4.9b	(cbrt (- (* c t) (* i y)))

rewrite47.0ms

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:

25.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (- (* c t) (* i y)))
5.0ms	(cbrt (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c t) (* i y)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- (* y z) (* t a)))
118.0ms	(cbrt (- (* c t) (* i y)))
118.0ms	(cbrt (- (* c t) (* i y)))
120.0ms	(cbrt (- (* c t) (* i y)))

simplify95.0ms

Counts

75 → 75

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	315	590
1	1061	543
2	3732	525
3	5001	519
done	5001	519

prune463.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

4.7b	(cbrt (- (* c z) (* i a)))
4.7b	(cbrt (- (* c z) (* i a)))
4.7b	(cbrt (- (* c z) (* i a)))
4.8b	(* x (- (* y z) (* t a)))

rewrite46.0ms

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:

6.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (- (* c z) (* i a)))
120.0ms	(cbrt (- (* c z) (* i a)))
124.0ms	(cbrt (- (* c z) (* i a)))
73.0ms	(* x (- (* y z) (* t a)))

simplify97.0ms

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	315	590
1	1059	543
2	3731	525
3	5001	519
done	5001	519

prune380.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.1b

regimes1.3s

Accuracy

0% (4.0b remaining)

Error of 12.4b against oracle of 8.4b and baseline of 12.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	19
1	37	19
done	37	19

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

19401×

body

valid