Details

sample144.0ms

Algorithm

intervals

Results

82.0ms

570×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (242.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	909	27
5	2811	27
done	5000	27

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.2b	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
5.4b	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
6.0b	(* j (- (* c t) (* i y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

9.0ms	(- (* c t) (* i y))
0.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
0.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
36.0ms	(* j (- (* c t) (* i y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* c t) (* i y))
774.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y)))))
343.0ms	(fma b (- (* i a) (* c z)) (* j (- (* c t) (* i y))))
412.0ms	(* j (- (* c t) (* i y)))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	119	1239
1	262	1222
2	706	1071
3	2471	1071
done	5001	1056

prune412.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.8b	(* x (- (* y z) (* t a)))
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite119.0ms

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:

14.0ms	(- (* c t) (* i y))
35.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* b (- (* c z) (* i a)))
36.0ms	(* j (- (* c t) (* i y)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* c t) (* i y))
127.0ms	(* x (- (* y z) (* t a)))
115.0ms	(* b (- (* c z) (* i a)))
118.0ms	(* j (- (* c t) (* i y)))

simplify2.7s

Counts

112 → 112

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	200	1357
1	476	1338
2	1364	1195
3	4998	1195
done	5000	1195

prune763.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.3b

localize42.0ms

Local error

Found 4 expressions with local error:

4.7b	(* a (* x t))
4.9b	(* (* y z) x)
5.9b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite157.0ms

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:

29.0ms	(* a (* x t))
34.0ms	(* (* y z) x)
36.0ms	(* b (- (* c z) (* i a)))
54.0ms	(* j (- (* c t) (* i y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* a (* x t))
42.0ms	(* (* y z) x)
112.0ms	(* b (- (* c z) (* i a)))
131.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (317.0ms)

Iter	Nodes	Cost
0	201	1097
1	476	1083
2	1550	937
done	5001	937

prune734.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.0b

localize57.0ms

Local error

Found 4 expressions with local error:

4.7b	(* a (* x t))
4.8b	(* z (* b c))
4.9b	(* (* y z) x)
6.0b	(* j (- (* c t) (* i y)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

28.0ms	(* a (* x t))
19.0ms	(* z (* b c))
29.0ms	(* (* y z) x)
50.0ms	(* j (- (* c t) (* i y)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* a (* x t))
40.0ms	(* z (* b c))
35.0ms	(* (* y z) x)
120.0ms	(* j (- (* c t) (* i y)))

simplify1.6s

Counts

100 → 100

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	173	874
1	414	860
2	1428	727
done	5000	727

prune552.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.8b

regimes1.5s

Accuracy

12.8% (9.5b remaining)

Error of 11.7b against oracle of 2.2b and baseline of 13.0b

bsearch337.0ms

Steps

Iters	Range		Point
6	4.2357563249310887e+83	2.1462440096541198e+84	5.137418068683975e+83
8	3.9952605024046895e-307	6.263654228658561e-303	4.868355865026179e-307

simplify52.0ms

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	57	112
1	101	110
2	128	110
3	133	110
done	133	110

end0.0ms

sample6.7s

Algorithm

intervals

Results

4.6s

18970×

body

valid