Details

sample73.0ms

Algorithm

intervals

Results

33.0ms

409×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2653
4	985
3	320
2	100
1	38
0	18

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* x 9.0) y b)
1.3b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.1b	(/ (fma (* x 9.0) y b) z)
9.4b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`fma-neg` `prod-diff`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma (* x 9.0) y b)
35.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.0ms	(/ (fma (* x 9.0) y b) z)
59.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series672.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (* x 9.0) y b)
205.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
129.0ms	(/ (fma (* x 9.0) y b) z)
296.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1668
1	388
0	170

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* x 9.0) y b)
1.3b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.1b	(/ (fma (* x 9.0) y b) z)
9.5b	(* (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) (/ 1 c))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`times-frac`
35×	`*-un-lft-identity`
34×	`add-cube-cbrt`
15×	`add-exp-log`
13×	`fma-neg` `associate-r` `prod-diff`
11×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `div-inv`
3×	`associate-/r` `flip3--` `div-exp` `associate-l` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `associate-*l/` `cbrt-unprod`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef`

Counts

4 → 121

Calls

4 calls:

0.0ms	(fma (* x 9.0) y b)
46.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
8.0ms	(/ (fma (* x 9.0) y b) z)
103.0ms	(* (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) (/ 1 c))

series712.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (* x 9.0) y b)
282.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
132.0ms	(/ (fma (* x 9.0) y b) z)
244.0ms	(* (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) (/ 1 c))

simplify3.8s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	3070
1	466
0	195

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma (* (/ x z) y) 9.0 (/ b z))
1.3b	(- (fma (* (/ x z) y) 9.0 (/ b z)) (* (* a 4.0) t))
5.3b	(* (/ x z) y)
9.5b	(* (- (fma (* (/ x z) y) 9.0 (/ b z)) (* (* a 4.0) t)) (/ 1 c))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`times-frac`
18×	`add-exp-log`
16×	`associate-r` `associate-l`
14×	`add-cbrt-cube`
8×	`pow1`
6×	`prod-exp` `add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `div-exp` `prod-diff` `associate-*l/` `flip--`
2×	`frac-times` `cbrt-undiv` `pow-prod-down` `*-commutative` `fma-udef` `div-inv`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `associate--l+` `associate-*r/` `un-div-inv`

Counts

4 → 107

Calls

4 calls:

1.0ms	(fma (* (/ x z) y) 9.0 (/ b z))
9.0ms	(- (fma (* (/ x z) y) 9.0 (/ b z)) (* (* a 4.0) t))
24.0ms	(* (/ x z) y)
41.0ms	(* (- (fma (* (/ x z) y) 9.0 (/ b z)) (* (* a 4.0) t)) (/ 1 c))

series715.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma (* (/ x z) y) 9.0 (/ b z))
284.0ms	(- (fma (* (/ x z) y) 9.0 (/ b z)) (* (* a 4.0) t))
34.0ms	(* (/ x z) y)
324.0ms	(* (- (fma (* (/ x z) y) 9.0 (/ b z)) (* (* a 4.0) t)) (/ 1 c))

simplify3.1s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	3085
1	507
0	207

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b	(fma (* x (/ y z)) 9.0 (/ b z))
1.3b	(- (fma (* x (/ y z)) 9.0 (/ b z)) (* (* a 4.0) t))
6.1b	(* x (/ y z))
9.5b	(* (- (fma (* x (/ y z)) 9.0 (/ b z)) (* (* a 4.0) t)) (/ 1 c))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-r`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`times-frac`
18×	`add-exp-log`
14×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `prod-exp` `add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `div-exp` `prod-diff` `flip--`
2×	`frac-times` `cbrt-undiv` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `div-inv`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `associate--l+` `un-div-inv`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma (* x (/ y z)) 9.0 (/ b z))
6.0ms	(- (fma (* x (/ y z)) 9.0 (/ b z)) (* (* a 4.0) t))
22.0ms	(* x (/ y z))
24.0ms	(* (- (fma (* x (/ y z)) 9.0 (/ b z)) (* (* a 4.0) t)) (/ 1 c))

series656.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(fma (* x (/ y z)) 9.0 (/ b z))
270.0ms	(- (fma (* x (/ y z)) 9.0 (/ b z)) (* (* a 4.0) t))
31.0ms	(* x (/ y z))
258.0ms	(* (- (fma (* x (/ y z)) 9.0 (/ b z)) (* (* a 4.0) t)) (/ 1 c))

simplify2.9s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	3027
1	525
0	206

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.9b

regimes2.3s

Accuracy

82.7% (1.7b remaining)

Error of 4.8b against oracle of 3.0b and baseline of 13.1b

bsearch4.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	64
1	64
0	48

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.0s

12839×

body

valid