Details

sample71.0ms

Algorithm

intervals

Results

38.0ms

569×

body

valid

simplify3.4s

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	3739	29
done	5001	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.0b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))
7.8b	(* j (- (* c t) (* i y)))

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:

2.0ms	(- (* c t) (* i y))
9.0ms	(* b (- (* c z) (* i a)))
12.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c t) (* i y)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* c t) (* i y))
67.0ms	(* b (- (* c z) (* i a)))
67.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* j (- (* c t) (* i y)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	166	1155
1	421	1141
2	1178	1007
3	3924	1007
done	5001	1007

prune414.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* b (- (* c z) (* i a)))
4.1b	(* i (* j y))
5.4b	(* t (* j c))
5.6b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* i (* j y))
6.0ms	(* t (* j c))
10.0ms	(* x (- (* y z) (* t a)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* i (* j y))
25.0ms	(* t (* j c))
70.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

96 → 96

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	171	958
1	436	946
2	1315	806
3	4524	806
done	5000	806

prune422.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.0b	(* b (- (* c z) (* i a)))
4.1b	(* i (* j y))
4.1b	(* (* t j) c)
5.6b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* i (* j y))
6.0ms	(* (* t j) c)
10.0ms	(* x (- (* y z) (* t a)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* i (* j y))
26.0ms	(* (* t j) c)
72.0ms	(* x (- (* y z) (* t a)))

simplify634.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	174	961
1	444	947
2	1434	813
done	5000	813

prune402.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.0b	(* b (- (* c z) (* i a)))
4.1b	(* (* t j) c)
5.0b	(* (* i j) y)
5.6b	(* x (- (* y z) (* t a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* (* t j) c)
6.0ms	(* (* i j) y)
9.0ms	(* x (- (* y z) (* t a)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* (* t j) c)
25.0ms	(* (* i j) y)
69.0ms	(* x (- (* y z) (* t a)))

simplify700.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	176	964
1	449	948
2	1551	808
done	5000	808

prune348.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.0b

regimes990.0ms

Accuracy

34.8% (5.6b remaining)

Error of 9.3b against oracle of 3.7b and baseline of 12.2b

bsearch127.0ms

Steps

Iters	Range		Point
6	4.2306362343169557e+99	3.1138679398998677e+100	4.2792569441990407e+99
3	-5.498091402439682e+122	-4.03158481046453e+122	-4.489868120456766e+122

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	124
1	79	124
2	91	124
3	92	124
done	92	124

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18931×

body

valid