Details

sample155.0ms

Algorithm

intervals

Results

72.0ms

602×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	950
3	290
2	96
1	43
0	23

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
4.9b	(* b (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))
6.5b	(* x (- (* y z) (* t a)))

rewrite96.0ms

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:

7.0ms	(- (* y z) (* t a))
31.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* j (- (* c t) (* i y)))
27.0ms	(* x (- (* y z) (* t a)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* y z) (* t a))
80.0ms	(* b (- (* c z) (* i a)))
119.0ms	(* j (- (* c t) (* i y)))
128.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1805
1	458
0	166

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.1b

localize84.0ms

Local error

Found 4 expressions with local error:

6.5b	(* x (- (* y z) (* t a)))
8.3b	(cbrt (* b (- (* c z) (* i a))))
8.3b	(cbrt (* b (- (* c z) (* i a))))
8.3b	(cbrt (* b (- (* c z) (* i 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:

25.0ms	(* x (- (* y z) (* t a)))
9.0ms	(cbrt (* b (- (* c z) (* i a))))
17.0ms	(cbrt (* b (- (* c z) (* i a))))
12.0ms	(cbrt (* b (- (* c z) (* i a))))

series797.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* x (- (* y z) (* t a)))
276.0ms	(cbrt (* b (- (* c z) (* i a))))
214.0ms	(cbrt (* b (- (* c z) (* i a))))
178.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify2.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	4528
2	1090
1	323
0	123

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 10.1b

localize128.0ms

Local error

Found 4 expressions with local error:

6.5b	(* x (- (* y z) (* t a)))
7.1b	(cbrt (- (* c z) (* i a)))
8.3b	(cbrt (* b (- (* c z) (* i a))))
8.3b	(cbrt (* b (- (* c z) (* i a))))

rewrite76.0ms

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:

32.0ms	(* x (- (* y z) (* t a)))
9.0ms	(cbrt (- (* c z) (* i a)))
17.0ms	(cbrt (* b (- (* c z) (* i a))))
17.0ms	(cbrt (* b (- (* c z) (* i a))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* x (- (* y z) (* t a)))
172.0ms	(cbrt (- (* c z) (* i a)))
214.0ms	(cbrt (* b (- (* c z) (* i a))))
225.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1290
1	401
0	156

prune1.2s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 10.1b

localize178.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt (- (* c z) (* i a)))
7.1b	(cbrt (- (* c z) (* i a)))
8.3b	(cbrt (* b (- (* c z) (* i a))))
8.3b	(cbrt (* b (- (* c z) (* i a))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

6.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))
13.0ms	(cbrt (* b (- (* c z) (* i a))))
16.0ms	(cbrt (* b (- (* c z) (* i a))))

series945.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (- (* c z) (* i a)))
253.0ms	(cbrt (- (* c z) (* i a)))
242.0ms	(cbrt (* b (- (* c z) (* i a))))
249.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify1.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	2452
2	731
1	259
0	104

prune909.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 10.1b

regimes3.1s

Accuracy

0% (4.0b remaining)

Error of 12.6b against oracle of 8.7b and baseline of 12.6b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	37
1	37
0	26

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.1s

19160×

body

valid