Details

sample101.0ms

Algorithm

intervals

Results

47.0ms

575×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	677	29
5	1522	29
6	4421	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
3.5b	(* b (- (* c z) (* i a)))
4.7b	(* j (- (* c t) (* i y)))
5.2b	(* x (- (* y z) (* t a)))

rewrite134.0ms

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:

13.0ms	(- (* c t) (* i y))
48.0ms	(* b (- (* c z) (* i a)))
41.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* x (- (* y z) (* t a)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* c t) (* i y))
106.0ms	(* b (- (* c z) (* i a)))
113.0ms	(* j (- (* c t) (* i y)))
109.0ms	(* x (- (* y z) (* t a)))

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	166	1155
1	424	1141
2	1218	1007
3	4449	1007
done	5001	1007

prune505.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.8b

localize34.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (- (* c z) (* i a)))
4.7b	(* j (- (* c t) (* i y)))
4.8b	(* a (* x t))
5.0b	(* (* y z) x)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

41.0ms	(* b (- (* c z) (* i a)))
44.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* a (* x t))
29.0ms	(* (* y z) x)

series211.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* b (- (* c z) (* i a)))
79.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* a (* x t))
27.0ms	(* (* y z) x)

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	175	961
1	442	947
2	1454	807
done	5001	807

prune529.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.3b

localize51.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* y z) x)
13.3b	(cbrt (* a (* x t)))
13.3b	(cbrt (* a (* x t)))
13.3b	(cbrt (* a (* x t)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

18.0ms	(* (* y z) x)
17.0ms	(cbrt (* a (* x t)))
22.0ms	(cbrt (* a (* x t)))
35.0ms	(cbrt (* a (* x t)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* y z) x)
130.0ms	(cbrt (* a (* x t)))
135.0ms	(cbrt (* a (* x t)))
128.0ms	(cbrt (* a (* x t)))

simplify6.1s

Counts

57 → 57

Iterations

Useful iterations: 4 (4.8s)

Iter	Nodes	Cost
0	86	525
1	197	511
2	653	439
3	2117	427
4	4736	385
done	5001	385

prune592.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.3b

localize70.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* y z) x)
9.7b	(cbrt (* x t))
13.3b	(cbrt (* a (* x t)))
13.3b	(cbrt (* a (* x t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

35.0ms	(* (* y z) x)
7.0ms	(cbrt (* x t))
16.0ms	(cbrt (* a (* x t)))
21.0ms	(cbrt (* a (* x t)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* y z) x)
114.0ms	(cbrt (* x t))
159.0ms	(cbrt (* a (* x t)))
157.0ms	(cbrt (* a (* x t)))

simplify6.9s

Counts

57 → 57

Iterations

Useful iterations: 4 (5.4s)

Iter	Nodes	Cost
0	103	487
1	234	474
2	724	407
3	2264	392
4	4984	356
done	5001	356

prune503.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.3b

regimes1.4s

Accuracy

30.5% (6.8b remaining)

Error of 9.1b against oracle of 2.3b and baseline of 12.1b

bsearch356.0ms

Steps

Iters	Range		Point
8	1.1659455453973474e-54	1.981400811136695e-51	1.841813406452417e-51
8	-1.3449132490488333e-82	-5.0293888753400674e-86	-7.615026889800153e-85

simplify36.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	104
1	88	104
2	110	104
3	111	104
done	111	104

end0.0ms

sample6.1s

Algorithm

intervals

Results

4.0s

18923×

body

valid