Details

sample101.0ms

Algorithm

intervals

Results

61.0ms

496×

body

valid

simplify10.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	87	17
3	254	17
4	836	17
5	1983	17
6	3876	17
7	4749	17
done	5000	17

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
8.2b	(* (* (+ a (* b c)) c) i)

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `prod-diff`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

15.0ms	(+ a (* b c))
98.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
28.0ms	(* (+ a (* b c)) c)
49.0ms	(* (* (+ a (* b c)) c) i)

series1.2s

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ a (* b c))
965.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
75.0ms	(* (+ a (* b c)) c)
109.0ms	(* (* (+ a (* b c)) c) i)

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	164	1636
1	476	1515
2	1945	1282
done	5000	1252

prune608.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.6b	(* (+ a (* b c)) (* c i))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
4×	`expm1-log1p-u` `fma-def` `frac-sub` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

4 → 78

Calls

4 calls:

16.0ms	(+ (* x y) (* z t))
12.0ms	(+ a (* b c))
73.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
61.0ms	(* (+ a (* b c)) (* c i))

series1.2s

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x y) (* z t))
47.0ms	(+ a (* b c))
1.0s	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
120.0ms	(* (+ a (* b c)) (* c i))

simplify1.4s

Counts

90 → 90

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	146	1568
1	457	1420
2	1939	1230
done	5000	1213

prune486.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma x y (* t z)) (* (* c i) (fma b c a)))
1.0b	(* (fma b c a) (fma (- i) c (* c i)))
4.6b	(* (* c i) (fma b c a))
51.5b	(fma (- i) c (* c i))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

29.0ms	(- (fma x y (* t z)) (* (* c i) (fma b c a)))
15.0ms	(* (fma b c a) (fma (- i) c (* c i)))
36.0ms	(* (* c i) (fma b c a))
1.0ms	(fma (- i) c (* c i))

series1.1s

Counts

4 → 12

Calls

4 calls:

802.0ms	(- (fma x y (* t z)) (* (* c i) (fma b c a)))
133.0ms	(* (fma b c a) (fma (- i) c (* c i)))
75.0ms	(* (* c i) (fma b c a))
55.0ms	(fma (- i) c (* c i))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	130	1315
1	300	1276
2	1113	1073
done	5000	1059

prune641.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (fma b c a) (fma (- i) c (* c i)))
3.1b	(* (* b c) (* c i))
3.2b	(* a (* c i))
51.5b	(fma (- i) c (* c i))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

8.0ms	(* (fma b c a) (fma (- i) c (* c i)))
46.0ms	(* (* b c) (* c i))
30.0ms	(* a (* c i))
1.0ms	(fma (- i) c (* c i))

series265.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (fma b c a) (fma (- i) c (* c i)))
66.0ms	(* (* b c) (* c i))
41.0ms	(* a (* c i))
38.0ms	(fma (- i) c (* c i))

simplify2.2s

Counts

88 → 88

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	115	910
1	267	896
2	1164	709
done	5000	703

prune484.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

regimes1.4s

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	35
1	31	35
done	31	35

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.7s

14930×

body

valid