Details

sample71.0ms

Algorithm

intervals

Results

37.0ms

589×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	248	29
4	625	29
5	1579	29
6	3731	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
4.5b	(* j (- (* c t) (* i y)))
5.9b	(* b (- (* c z) (* i a)))
8.0b	(* x (- (* y z) (* t a)))

rewrite35.0ms

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:

3.0ms	(- (* c t) (* i y))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* x (- (* y z) (* t a)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c t) (* i y))
70.0ms	(* j (- (* c t) (* i y)))
66.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	166	1155
1	421	1141
2	1176	1007
3	3902	1007
done	5000	1007

prune420.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.9b

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b	(* z (* b c))
4.5b	(* j (- (* c t) (* i y)))
5.0b	(* (- (* i a)) b)
8.0b	(* x (- (* y z) (* t a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

6.0ms	(* z (* b c))
13.0ms	(* j (- (* c t) (* i y)))
4.0ms	(* (- (* i a)) b)
10.0ms	(* x (- (* y z) (* t a)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* z (* b c))
67.0ms	(* j (- (* c t) (* i y)))
32.0ms	(* (- (* i a)) b)
68.0ms	(* x (- (* y z) (* t a)))

simplify859.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	174	1003
1	445	985
2	1514	855
done	5001	855

prune430.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 2.7b

localize31.0ms

Local error

Found 4 expressions with local error:

4.5b	(* j (- (* c t) (* i y)))
5.0b	(* (- (* i a)) b)
6.1b	(* (* y z) x)
6.4b	(* a (* x t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
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-out` `distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `flip--`

Counts

4 → 82

Calls

4 calls:

10.0ms	(* j (- (* c t) (* i y)))
4.0ms	(* (- (* i a)) b)
7.0ms	(* (* y z) x)
6.0ms	(* a (* x t))

series149.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* j (- (* c t) (* i y)))
32.0ms	(* (- (* i a)) b)
24.0ms	(* (* y z) x)
26.0ms	(* a (* x t))

simplify930.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	164	827
1	409	807
2	1569	687
done	5000	687

prune487.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

4.5b	(* j (- (* c t) (* i y)))
5.0b	(* (- (* i a)) b)
5.1b	(* t (* x a))
6.1b	(* (* y z) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
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-out` `distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `flip--`

Counts

4 → 82

Calls

4 calls:

10.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* (- (* i a)) b)
6.0ms	(* t (* x a))
7.0ms	(* (* y z) x)

series179.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* (- (* i a)) b)
30.0ms	(* t (* x a))
32.0ms	(* (* y z) x)

simplify940.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	164	827
1	410	807
2	1569	687
done	5000	687

prune408.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.4b

regimes1.1s

Accuracy

30.8% (8.4b remaining)

Error of 9.2b against oracle of 0.8b and baseline of 12.9b

bsearch145.0ms

Steps

Iters	Range		Point
5	6.634019718621142e-42	1.587378004883484e-41	1.0045273676211651e-41
5	-931.0313035868555	-436.72743869654124	-797.53682869769

simplify24.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	55	109
1	100	107
2	121	107
3	127	107
done	127	107

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19305×

body

valid