Details

sample158.0ms

Algorithm

intervals

Results

83.0ms

606×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (260.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	907	27
5	2817	27
done	5000	27

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
4.4b	(* b (- (* c z) (* t i)))
4.7b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

64.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
33.0ms	(* b (- (* c z) (* t i)))
39.0ms	(* j (- (* c a) (* y i)))
71.0ms	(* x (- (* y z) (* t a)))

series714.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
136.0ms	(* b (- (* c z) (* t i)))
119.0ms	(* j (- (* c a) (* y i)))
129.0ms	(* x (- (* y z) (* t a)))

simplify1.6s

Counts

128 → 128

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	247	2235
1	681	2111
2	2410	1971
done	5000	1967

prune948.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.5b

localize54.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (fma c z (- (* i t))) b)
4.7b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))
50.7b	(fma (- i) t (* i t))

rewrite116.0ms

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`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`fma-udef`

Counts

4 → 86

Calls

4 calls:

15.0ms	(* (fma c z (- (* i t))) b)
44.0ms	(* j (- (* c a) (* y i)))
52.0ms	(* x (- (* y z) (* t a)))
1.0ms	(fma (- i) t (* i t))

series362.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (fma c z (- (* i t))) b)
94.0ms	(* j (- (* c a) (* y i)))
100.0ms	(* x (- (* y z) (* t a)))
36.0ms	(fma (- i) t (* i t))

simplify3.0s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	178	1148
1	400	1139
2	1160	993
3	4454	989
done	5000	989

prune832.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.5b

localize92.0ms

Local error

Found 4 expressions with local error:

6.2b	(cbrt (* j (- (* c a) (* y i))))
6.2b	(cbrt (* j (- (* c a) (* y i))))
6.2b	(cbrt (* j (- (* c a) (* y i))))
6.3b	(* x (- (* y z) (* t a)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

14.0ms	(cbrt (* j (- (* c a) (* y i))))
21.0ms	(cbrt (* j (- (* c a) (* y i))))
17.0ms	(cbrt (* j (- (* c a) (* y i))))
35.0ms	(* x (- (* y z) (* t a)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (* j (- (* c a) (* y i))))
257.0ms	(cbrt (* j (- (* c a) (* y i))))
254.0ms	(cbrt (* j (- (* c a) (* y i))))
78.0ms	(* x (- (* y z) (* t a)))

simplify2.6s

Counts

79 → 79

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	136	1156
1	336	1120
2	997	1011
3	3497	999
done	5001	953

prune826.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 6.5b

localize82.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (- (* c a) (* y i)))
6.2b	(cbrt (* j (- (* c a) (* y i))))
6.2b	(cbrt (* j (- (* c a) (* y i))))
6.3b	(* x (- (* y z) (* t a)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(cbrt (- (* c a) (* y i)))
15.0ms	(cbrt (* j (- (* c a) (* y i))))
18.0ms	(cbrt (* j (- (* c a) (* y i))))
58.0ms	(* x (- (* y z) (* t a)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (- (* c a) (* y i)))
192.0ms	(cbrt (* j (- (* c a) (* y i))))
200.0ms	(cbrt (* j (- (* c a) (* y i))))
137.0ms	(* x (- (* y z) (* t a)))

simplify2.3s

Counts

81 → 81

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	172	1179
1	417	1141
2	1203	1037
3	4028	1021
done	5000	1018

prune677.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 6.5b

regimes1.7s

Accuracy

14.3% (5.3b remaining)

Error of 11.5b against oracle of 6.2b and baseline of 12.4b

bsearch318.0ms

Steps

Iters	Range		Point
10	2.712950526249571e-211	3.710219477033561e-198	2.2259117832799393e-206
5	-1.4660103282220412e-49	-4.1253786553634884e-50	-8.697492811378027e-50

simplify30.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	138
1	71	138
2	73	138
done	73	138

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.6s

19277×

body

valid