Details

sample161.0ms

Algorithm

intervals

Results

72.0ms

501×

body

valid

simplify9.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4645
5	2609
4	906
3	255
2	86
1	33
0	18

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma t z (* y x)) (* (* c (fma c b a)) i))
0.0b	(fma t z (* y x))
0.1b	(* c (fma c b a))
8.5b	(* (* c (fma c b a)) 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`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

16.0ms	(- (fma t z (* y x)) (* (* c (fma c b a)) i))
1.0ms	(fma t z (* y x))
18.0ms	(* c (fma c b a))
44.0ms	(* (* c (fma c b a)) i)

series1.4s

Counts

4 → 12

Calls

4 calls:

1.1s	(- (fma t z (* y x)) (* (* c (fma c b a)) i))
110.0ms	(fma t z (* y x))
66.0ms	(* c (fma c b a))
145.0ms	(* (* c (fma c b a)) i)

simplify6.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4504
2	802
1	271
0	121

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.3b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma t z (* y x)) (* c (* (fma c b a) i)))
0.0b	(fma t z (* y x))
1.3b	(* (fma c b a) i)
4.6b	(* c (* (fma c b a) i))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

15.0ms	(- (fma t z (* y x)) (* c (* (fma c b a) i)))
1.0ms	(fma t z (* y x))
11.0ms	(* (fma c b a) i)
30.0ms	(* c (* (fma c b a) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

1.2s	(- (fma t z (* y x)) (* c (* (fma c b a) i)))
103.0ms	(fma t z (* y x))
114.0ms	(* (fma c b a) i)
138.0ms	(* c (* (fma c b a) i))

simplify6.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4477
2	843
1	256
0	117

prune1.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 1.2b

localize112.0ms

Local error

Found 4 expressions with local error:

4.6b	(* c (* (fma c b a) i))
8.6b	(cbrt (* c (* (fma c b a) i)))
8.6b	(cbrt (* c (* (fma c b a) i)))
8.6b	(cbrt (* c (* (fma c b a) i)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

33.0ms	(* c (* (fma c b a) i))
20.0ms	(cbrt (* c (* (fma c b a) i)))
19.0ms	(cbrt (* c (* (fma c b a) i)))
23.0ms	(cbrt (* c (* (fma c b a) i)))

series1.1s

Counts

4 → 12

Calls

4 calls:

102.0ms	(* c (* (fma c b a) i))
337.0ms	(cbrt (* c (* (fma c b a) i)))
336.0ms	(cbrt (* c (* (fma c b a) i)))
331.0ms	(cbrt (* c (* (fma c b a) i)))

simplify4.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5014
3	2523
2	614
1	210
0	87

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.2b

localize147.0ms

Local error

Found 4 expressions with local error:

4.6b	(* c (* (fma c b a) i))
7.1b	(cbrt (* (fma c b a) i))
8.6b	(cbrt (* c (* (fma c b a) i)))
8.6b	(cbrt (* c (* (fma c b a) i)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

33.0ms	(* c (* (fma c b a) i))
7.0ms	(cbrt (* (fma c b a) i))
23.0ms	(cbrt (* c (* (fma c b a) i)))
27.0ms	(cbrt (* c (* (fma c b a) i)))

series1.2s

Counts

4 → 12

Calls

4 calls:

133.0ms	(* c (* (fma c b a) i))
375.0ms	(cbrt (* (fma c b a) i))
353.0ms	(cbrt (* c (* (fma c b a) i)))
360.0ms	(cbrt (* c (* (fma c b a) i)))

simplify4.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5003
3	3021
2	790
1	280
0	118

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 1.2b

regimes3.2s

Accuracy

86.4% (0.6b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 5.3b

bsearch215.0ms

Steps

Iters	Range		Point
5	9.17515349690969e-64	2.964171433018536e-63	2.4053108373356386e-63
7	-3.828147790683386e-17	-1.6993729384458013e-18	-3.780226141482327e-17

simplify10.0ms

Iterations

Iter	Nodes
done	39
1	39
0	28

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.8s

15032×

body

valid