Details

sample168.0ms

Algorithm

intervals

Results

83.0ms

636×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize223.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (* c z) (* i a))
3.3b	(* b (- (* c z) (* i a)))
6.6b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite275.0ms

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--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

19.0ms	(- (* c z) (* i a))
87.0ms	(* b (- (* c z) (* i a)))
73.0ms	(* j (- (* c t) (* i y)))
87.0ms	(* x (- (* y z) (* t a)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* c z) (* i a))
194.0ms	(* b (- (* c z) (* i a)))
146.0ms	(* j (- (* c t) (* i y)))
135.0ms	(* x (- (* y z) (* t a)))

simplify3.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1381
1	452
0	171

prune2.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.4b

localize355.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt b) (- (* c z) (* i a)))
2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
6.6b	(* j (- (* c t) (* i y)))
6.6b	(* x (- (* y z) (* t a)))

rewrite450.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod` `flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

81.0ms	(* (cbrt b) (- (* c z) (* i a)))
177.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
81.0ms	(* j (- (* c t) (* i y)))
96.0ms	(* x (- (* y z) (* t a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

546.0ms	(* (cbrt b) (- (* c z) (* i a)))
200.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
138.0ms	(* j (- (* c t) (* i y)))
195.0ms	(* x (- (* y z) (* t a)))

simplify4.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5003
2	2145
1	619
0	214

prune3.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.8b

localize379.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.2b	(* a (* x t))
6.6b	(* j (- (* c t) (* i y)))
7.5b	(* x (* z y))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3--` `flip--`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

226.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
78.0ms	(* a (* x t))
113.0ms	(* j (- (* c t) (* i y)))
45.0ms	(* x (* z y))

series506.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
63.0ms	(* a (* x t))
156.0ms	(* j (- (* c t) (* i y)))
73.0ms	(* x (* z y))

simplify4.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1758
1	540
0	193

prune2.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.2b

localize355.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
5.2b	(* a (* x t))
5.3b	(* (* x z) y)
6.6b	(* j (- (* c t) (* i y)))

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3--` `flip--`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

226.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
62.0ms	(* a (* x t))
55.0ms	(* (* x z) y)
76.0ms	(* j (- (* c t) (* i y)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* i a))))
71.0ms	(* a (* x t))
58.0ms	(* (* x z) y)
182.0ms	(* j (- (* c t) (* i y)))

simplify4.5s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1842
1	554
0	196

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.2b

regimes7.2s

Accuracy

15.9% (8.2b remaining)

Error of 11.6b against oracle of 3.3b and baseline of 13.1b

bsearch385.0ms

Steps

Iters	Range		Point
6	-2.9027849359332806e-185	-2.394613232691906e-186	-1.1954740575885239e-185
8	-6.265930563867419e-07	-1.243853583461071e-09	-1.3908394767462318e-09

simplify103.0ms

Iterations

Iter	Nodes
done	89
3	89
2	85
1	77
0	53

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.1s

19277×

body

valid