Details

sample115.0ms

Algorithm

intervals

Results

63.0ms

568×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (* z y) (* t a)) x) (* j (- (* t c) (* i y))))
2.9b	(* (- (* z y) (* t a)) x)
5.3b	(* j (- (* t c) (* i y)))
5.3b	(* (- (* a i) (* z c)) b)

rewrite98.0ms

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`
8×	`associate-*l/`
7×	`flip3--` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `frac-add`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 83

Calls

4 calls:

32.0ms	(+ (* (- (* z y) (* t a)) x) (* j (- (* t c) (* i y))))
21.0ms	(* (- (* z y) (* t a)) x)
21.0ms	(* j (- (* t c) (* i y)))
19.0ms	(* (- (* a i) (* z c)) b)

series640.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(+ (* (- (* z y) (* t a)) x) (* j (- (* t c) (* i y))))
77.0ms	(* (- (* z y) (* t a)) x)
108.0ms	(* j (- (* t c) (* i y)))
118.0ms	(* (- (* a i) (* z c)) b)

simplify1.0s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	2658
1	591
0	192

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.3b

localize68.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (- (* z y) (* t a)) x)
4.0b	(* a (* i b))
4.4b	(* c (* z b))
5.3b	(* j (- (* t c) (* i y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

27.0ms	(* (- (* z y) (* t a)) x)
24.0ms	(* a (* i b))
35.0ms	(* c (* z b))
40.0ms	(* j (- (* t c) (* i y)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (- (* z y) (* t a)) x)
48.0ms	(* a (* i b))
44.0ms	(* c (* z b))
79.0ms	(* j (- (* t c) (* i y)))

simplify790.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1704
1	438
0	165

prune1.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 1.8b

localize55.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (- (* c t) (* i y)) j)
7.3b	(cbrt (* (- (* c t) (* i y)) j))
7.3b	(cbrt (* (- (* c t) (* i y)) j))
7.3b	(cbrt (* (- (* c t) (* i y)) j))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*l/`
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`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 53

Calls

4 calls:

50.0ms	(* (- (* c t) (* i y)) j)
17.0ms	(cbrt (* (- (* c t) (* i y)) j))
17.0ms	(cbrt (* (- (* c t) (* i y)) j))
9.0ms	(cbrt (* (- (* c t) (* i y)) j))

series906.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (- (* c t) (* i y)) j)
259.0ms	(cbrt (* (- (* c t) (* i y)) j))
267.0ms	(cbrt (* (- (* c t) (* i y)) j))
276.0ms	(cbrt (* (- (* c t) (* i y)) j))

simplify526.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	976
1	281
0	110

prune935.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 1.8b

localize74.0ms

Local error

Found 4 expressions with local error:

4.3b	(cbrt (- (* z y) (* t a)))
4.3b	(cbrt (- (* z y) (* t a)))
4.4b	(* c (* z b))
5.3b	(* j (- (* t c) (* i y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(cbrt (- (* z y) (* t a)))
4.0ms	(cbrt (- (* z y) (* t a)))
21.0ms	(* c (* z b))
23.0ms	(* j (- (* t c) (* i y)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- (* z y) (* t a)))
181.0ms	(cbrt (- (* z y) (* t a)))
30.0ms	(* c (* z b))
100.0ms	(* j (- (* t c) (* i y)))

simplify891.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1356
1	409
0	157

prune1.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 1.8b

regimes3.1s

Accuracy

19.1% (7.7b remaining)

Error of 11.1b against oracle of 3.5b and baseline of 12.9b

bsearch943.0ms

Steps

Iters	Range		Point
7	1.5652404609220196e+58	5.504589725351432e+59	1.9923684866322878e+58
7	1.0287614272064389e+24	1.2508719997238892e+26	3.0772525990493e+25
9	1.5810256800577302e-74	3.2253371645713835e-67	2.7783837854000323e-74
7	2.4704401140655203e-175	1.3812472045831403e-173	1.3630754269818753e-173
10	-3.4701704537214795e-22	-6.727702838216674e-40	-1.6727954938607666e-35

simplify32.0ms

Iterations

Iter	Nodes
done	122
3	122
2	111
1	101
0	70

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.2s

19330×

body

valid