Details

sample109.0ms

Algorithm

intervals

Results

52.0ms

520×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3501
4	954
3	258
2	87
1	33
0	18

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize52.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b	(* (fma b c a) c)
8.1b	(* i (* (fma b c a) c))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

10.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
10.0ms	(* (fma b c a) c)
23.0ms	(* i (* (fma b c a) c))

series1.0s

Counts

3 → 9

Calls

3 calls:

859.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
72.0ms	(* (fma b c a) c)
97.0ms	(* i (* (fma b c a) c))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1089
1	245
0	110

prune683.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.8b

localize61.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
0.8b	(* i (fma b c a))
5.0b	(* (* i (fma b c a)) c)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

5.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
6.0ms	(* i (fma b c a))
28.0ms	(* (* i (fma b c a)) c)

series1.1s

Counts

3 → 9

Calls

3 calls:

936.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
78.0ms	(* i (fma b c a))
80.0ms	(* (* i (fma b c a)) c)

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
2	1366
1	271
0	116

prune842.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.7b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
1.0b	(* (cbrt i) (fma b c a))
5.0b	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
7.0ms	(* (cbrt i) (fma b c a))
125.0ms	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

series1.0s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt i)
306.0ms	(cbrt i)
302.0ms	(* (cbrt i) (fma b c a))
112.0ms	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2182
1	327
0	124

prune946.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
4.9b	(* (* c i) (fma b c a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `prod-diff`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp` `sqr-pow`
3×	`unpow-prod-down` `fma-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate-l` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

7.0ms	(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
13.0ms	(* (* c i) (fma b c a))

series936.0ms

Counts

2 → 6

Calls

2 calls:

865.0ms	(- (fma t z (* y x)) (pow (* (* c i) (fma b c a)) 1))
70.0ms	(* (* c i) (fma b c a))

simplify2.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	2011
1	333
0	139

prune575.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s

15151×

body

valid