Details

sample182.0ms

Algorithm

intervals

Results

94.0ms

577×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (302.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	1229	27
done	5000	27

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
5.0b	(* x (- (* y z) (* t a)))
5.4b	(* j (- (* c a) (* y i)))
5.8b	(* b (- (* c z) (* t i)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

10.0ms	(- (* y z) (* t a))
54.0ms	(* x (- (* y z) (* t a)))
57.0ms	(* j (- (* c a) (* y i)))
70.0ms	(* b (- (* c z) (* t i)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* y z) (* t a))
120.0ms	(* x (- (* y z) (* t a)))
90.0ms	(* j (- (* c a) (* y i)))
107.0ms	(* b (- (* c z) (* t i)))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	199	1357
1	532	1338
2	2396	1213
done	5001	1195

prune706.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.4b

localize70.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.3b	(* a (* j c))
5.3b	(* j (- (* y i)))
5.8b	(* b (- (* c z) (* t i)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 100

Calls

4 calls:

41.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* a (* j c))
26.0ms	(* j (- (* y i)))
58.0ms	(* b (- (* c z) (* t i)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* a (* j c))
36.0ms	(* j (- (* y i)))
101.0ms	(* b (- (* c z) (* t i)))

simplify1.3s

Counts

112 → 112

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	200	1139
1	523	1121
2	2258	998
done	5002	984

prune821.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

localize57.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a j) c)
5.0b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* y i)))
5.8b	(* b (- (* c z) (* t i)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 100

Calls

4 calls:

23.0ms	(* (* a j) c)
63.0ms	(* x (- (* y z) (* t a)))
13.0ms	(* j (- (* y i)))
37.0ms	(* b (- (* c z) (* t i)))

series742.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* a j) c)
140.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* j (- (* y i)))
522.0ms	(* b (- (* c z) (* t i)))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	203	1142
1	537	1122
2	2535	999
done	5000	991

prune724.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.4b

localize58.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* a j) c)
5.0b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))
5.9b	(* i (* j y))

rewrite209.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

38.0ms	(* (* a j) c)
58.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* b (- (* c z) (* t i)))
35.0ms	(* i (* j y))

series270.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* a j) c)
95.0ms	(* x (- (* y z) (* t a)))
93.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* i (* j y))

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	200	1097
1	524	1083
2	2563	945
done	5001	937

prune558.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.9b

regimes1.7s

Accuracy

-2.6% (7.9b remaining)

Error of 12.7b against oracle of 4.7b and baseline of 12.5b

bsearch305.0ms

Steps

Iters	Range		Point
8	1.265026079860754e-245	6.71568477326898e-241	2.327388989455035e-241
8	-6.155733259032656e-210	-1.3071335208937046e-214	-4.25144385483191e-212

simplify21.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	52	105
1	92	105
2	114	105
3	120	105
done	120	105

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.2s

19176×

body

valid