Details

sample159.0ms

Algorithm

intervals

Results

83.0ms

622×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* a i) (* z c))
5.1b	(* (- (* a i) (* z c)) b)
5.7b	(* j (- (* t c) (* i y)))
6.1b	(* (- (* z y) (* t a)) x)

rewrite77.0ms

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

Counts

4 → 76

Calls

4 calls:

9.0ms	(- (* a i) (* z c))
23.0ms	(* (- (* a i) (* z c)) b)
21.0ms	(* j (- (* t c) (* i y)))
21.0ms	(* (- (* z y) (* t a)) x)

series395.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* a i) (* z c))
100.0ms	(* (- (* a i) (* z c)) b)
91.0ms	(* j (- (* t c) (* i y)))
122.0ms	(* (- (* z y) (* t a)) x)

simplify821.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1657
1	418
0	155

prune983.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.9b

localize59.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* a b) i)
5.7b	(* j (- (* t c) (* i y)))
5.7b	(* b (* z c))
6.1b	(* (- (* z y) (* t a)) x)

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`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:

17.0ms	(* (* a b) i)
40.0ms	(* j (- (* t c) (* i y)))
24.0ms	(* b (* z c))
50.0ms	(* (- (* z y) (* t a)) x)

series299.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* a b) i)
105.0ms	(* j (- (* t c) (* i y)))
46.0ms	(* b (* z c))
105.0ms	(* (- (* z y) (* t a)) x)

simplify986.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2182
1	456
0	169

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.3b

localize66.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* a b) i)
4.8b	(* (* z b) c)
5.7b	(* j (- (* t c) (* i y)))
6.1b	(* (- (* z y) (* t a)) x)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `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:

26.0ms	(* (* a b) i)
26.0ms	(* (* z b) c)
23.0ms	(* j (- (* t c) (* i y)))
27.0ms	(* (- (* z y) (* t a)) x)

series261.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* a b) i)
29.0ms	(* (* z b) c)
105.0ms	(* j (- (* t c) (* i y)))
85.0ms	(* (- (* z y) (* t a)) x)

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	2401
1	463
0	170

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.6b

localize34.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* a b) i)
5.1b	(* z (* c b))
5.7b	(* j (- (* t c) (* i y)))
6.1b	(* (- (* z y) (* t a)) x)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`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:

24.0ms	(* (* a b) i)
23.0ms	(* z (* c b))
42.0ms	(* j (- (* t c) (* i y)))
45.0ms	(* (- (* z y) (* t a)) x)

series327.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* a b) i)
29.0ms	(* z (* c b))
136.0ms	(* j (- (* t c) (* i y)))
118.0ms	(* (- (* z y) (* t a)) x)

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2314
1	459
0	169

prune899.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.6b

regimes2.8s

Accuracy

18% (9.1b remaining)

Error of 10.0b against oracle of 0.8b and baseline of 12.0b

bsearch462.0ms

Steps

Iters	Range	Point
9	2.9292975227000586e+44	1.2253664988803287e+53	1.6825200508069855e+50
4	2.077701528265631e-105	3.3352689405323757e-105	3.2173719956323684e-105
9	-7.999228898926113e-109	-2.9035075537885607e-114	-4.313168719545061e-109

Iters

Range

Point

2.9292975227000586e+44

1.2253664988803287e+53

1.6825200508069855e+50

2.077701528265631e-105

3.3352689405323757e-105

3.2173719956323684e-105

-7.999228898926113e-109

-2.9035075537885607e-114

-4.313168719545061e-109

simplify24.0ms

Iterations

Iter	Nodes
done	107
3	107
2	100
1	96
0	61

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.9s

19197×

body

valid