Details

sample88.0ms

Algorithm

intervals

Results

53.0ms

461×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4736
5	2602
4	911
3	255
2	86
1	33
0	18

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize44.0ms

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

rewrite47.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `fma-udef` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

13.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
13.0ms	(* (fma b c a) c)
18.0ms	(* i (* (fma b c a) c))

series1.0s

Counts

3 → 9

Calls

3 calls:

910.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
55.0ms	(* (fma b c a) c)
77.0ms	(* i (* (fma b c a) c))

simplify3.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	4812
2	807
1	248
0	113

prune702.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.9b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
1.3b	(* i (fma b c a))
4.1b	(* (* i (fma b c a)) c)

rewrite52.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

13.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
17.0ms	(* i (fma b c a))
20.0ms	(* (* i (fma b c a)) c)

series1.0s

Counts

3 → 9

Calls

3 calls:

868.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
65.0ms	(* i (fma b c a))
85.0ms	(* (* i (fma b c a)) c)

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	888
1	269
0	119

prune669.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.9b

localize50.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* i (fma b c a)) c)
11.8b	(cbrt (* (* i (fma b c a)) c))
11.8b	(cbrt (* (* i (fma b c a)) c))
11.8b	(cbrt (* (* i (fma b c a)) c))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

33.0ms	(* (* i (fma b c a)) c)
27.0ms	(cbrt (* (* i (fma b c a)) c))
27.0ms	(cbrt (* (* i (fma b c a)) c))
28.0ms	(cbrt (* (* i (fma b c a)) c))

series710.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* i (fma b c a)) c)
208.0ms	(cbrt (* (* i (fma b c a)) c))
228.0ms	(cbrt (* (* i (fma b c a)) c))
198.0ms	(cbrt (* (* i (fma b c a)) c))

simplify2.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5003
3	3315
2	673
1	222
0	91

prune791.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.9b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
1.3b	(* i (fma b c a))
1.4b	(* (* (* i (fma b c a)) (* (cbrt c) (cbrt c))) (cbrt c))
3.1b	(* (* i (fma b c a)) (* (cbrt c) (cbrt c)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
23×	`add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt c)
8.0ms	(* i (fma b c a))
126.0ms	(* (* (* i (fma b c a)) (* (cbrt c) (cbrt c))) (cbrt c))
62.0ms	(* (* i (fma b c a)) (* (cbrt c) (cbrt c)))

series929.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt c)
73.0ms	(* i (fma b c a))
116.0ms	(* (* (* i (fma b c a)) (* (cbrt c) (cbrt c))) (cbrt c))
444.0ms	(* (* i (fma b c a)) (* (cbrt c) (cbrt c)))

simplify2.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1332
1	378
0	146

prune781.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes971.0ms

Accuracy

18.1% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.7b

bsearch69.0ms

Steps

Iters	Range		Point
4	4.366604794392817e+21	6.588377087320926e+21	4.487426699771173e+21

simplify6.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.6s

15018×

body

valid