Details

sample87.0ms

Algorithm

intervals

Results

35.0ms

630×

body

valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 11.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
4.0b	(* x (- (* y z) (* t a)))
4.4b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite93.0ms

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))
26.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* b (- (* c z) (* i a)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c z) (* i a))
68.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* j (- (* c t) (* i y)))
70.0ms	(* b (- (* c z) (* i a)))

simplify55.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

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

prune386.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.2b

localize21.0ms

Local error

Found 4 expressions with local error:

3.2b	(* j (- (* i y)))
4.0b	(* x (- (* y z) (* t a)))
5.5b	(* j (* c t))
6.2b	(* b (- (* c z) (* i a)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

11.0ms	(* j (- (* i y)))
28.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* j (* c t))
28.0ms	(* b (- (* c z) (* i a)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* j (- (* i y)))
68.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (* c t))
70.0ms	(* b (- (* c z) (* i a)))

simplify62.0ms

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	445	484
1	2071	419
2	5001	419
done	5001	419

prune444.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.5b

localize27.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (* t a)))
4.9b	(* x (* y z))
5.5b	(* j (* c t))
6.2b	(* b (- (* c z) (* i a)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
11×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `flip--`

Counts

4 → 82

Calls

4 calls:

12.0ms	(* x (- (* t a)))
19.0ms	(* x (* y z))
16.0ms	(* j (* c t))
27.0ms	(* b (- (* c z) (* i a)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* x (- (* t a)))
25.0ms	(* x (* y z))
25.0ms	(* j (* c t))
293.0ms	(* b (- (* c z) (* i a)))

simplify58.0ms

Counts

94 → 94

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	402	395
1	1853	335
2	5002	335
done	5002	335

prune441.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.3b

localize31.0ms

Local error

Found 4 expressions with local error:

6.2b	(* b (- (* c z) (* i a)))
13.6b	(cbrt (* x (- (* t a))))
13.6b	(cbrt (* x (- (* t a))))
13.6b	(cbrt (* x (- (* t a))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 51

Calls

4 calls:

26.0ms	(* b (- (* c z) (* i a)))
6.0ms	(cbrt (* x (- (* t a))))
6.0ms	(cbrt (* x (- (* t a))))
6.0ms	(cbrt (* x (- (* t a))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* b (- (* c z) (* i a)))
102.0ms	(cbrt (* x (- (* t a))))
106.0ms	(cbrt (* x (- (* t a))))
103.0ms	(cbrt (* x (- (* t a))))

simplify83.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	250	413
1	854	366
2	3157	357
3	5001	357
done	5001	357

prune335.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.3b

regimes1.1s

Accuracy

8.5% (7.4b remaining)

Error of 11.7b against oracle of 4.3b and baseline of 12.4b

bsearch436.0ms

Steps

Iters	Range		Point
9	5.054103268847559e+238	1.2804951246272082e+246	9.764633783766701e+238
9	1.9902982141109294e-134	1.5026234415107204e-128	5.358202163386635e-130
9	-2.8287730990189585e-270	-6.405139298476682e-279	-6.066601058953689e-271
5	-6.686619809445965e-132	-3.2953494523263965e-132	-5.399805233907068e-132

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	125	88
1	163	88
2	199	88
3	199	88
done	199	88

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19148×

body

valid