Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

397×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (14.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3
done	217	3

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma a b y) z (fma a t x))

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(fma (fma a b y) z (fma a t x))

simplify58.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49
done	5002	49

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.2b	(* (* a z) b)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

89.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ x (* y z))
26.0ms	(+ (+ x (* y z)) (* t a))
16.0ms	(* (* a z) b)

series192.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

simplify57.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330
done	5001	330

prune284.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
0.0b	(+ (+ x (* y z)) (* t a))
5.3b	(* a (* z b))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`*-un-lft-identity` `sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

6.0ms	(+ x (* y z))
94.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
27.0ms	(+ (+ x (* y z)) (* t a))
16.0ms	(* a (* z b))

series209.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y z))
98.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
53.0ms	(+ (+ x (* y z)) (* t a))
30.0ms	(* a (* z b))

simplify65.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	354	430
1	1662	349
2	5001	339
done	5001	339

prune287.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
5.3b	(* a (* z b))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-r` `*-commutative`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (+ x (* y z)))
3.0ms	(cbrt (+ x (* y z)))
3.0ms	(cbrt (+ x (* y z)))
16.0ms	(* a (* z b))

series414.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ x (* y z)))
131.0ms	(cbrt (+ x (* y z)))
128.0ms	(cbrt (+ x (* y z)))
29.0ms	(* a (* z b))

simplify84.0ms

Counts

77 → 77

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	262	459
1	792	420
2	2866	399
3	5001	369
done	5001	369

prune345.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

91.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.5b

bsearch99.0ms

Steps

Iters	Range		Point
8	2.021382182041235e-70	3.602378963272577e-66	5.979029897606914e-67
9	-1.2248882134951268e+28	-1.5727025611791136e+21	-7.827307777042338e+22

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	8
1	25	8
done	25	8

end0.0ms

sample918.0ms

Algorithm

intervals

Results

399.0ms

11780×

body

valid