Details

sample99.0ms

Algorithm

intervals

Results

46.0ms

480×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	87	17
3	262	17
4	966	17
5	3536	17
done	5000	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z t) (* (* c (fma c b a)) i))
0.1b	(* c (fma c b a))
6.5b	(* (* c (fma c b a)) i)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

16.0ms	(- (* z t) (* (* c (fma c b a)) i))
7.0ms	(* c (fma c b a))
20.0ms	(* (* c (fma c b a)) i)

series276.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(- (* z t) (* (* c (fma c b a)) i))
45.0ms	(* c (fma c b a))
62.0ms	(* (* c (fma c b a)) i)

simplify1.6s

Counts

67 → 67

Iterations

Useful iterations: 2 (290.0ms)

Iter	Nodes	Cost
0	106	823
1	268	779
2	1425	693
done	5002	693

prune393.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z t) (pow (* (* i c) (fma c b a)) 1))
5.3b	(* (* i c) (fma c b a))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

19.0ms	(- (* z t) (pow (* (* i c) (fma c b a)) 1))
22.0ms	(* (* i c) (fma c b a))

series257.0ms

Counts

2 → 6

Calls

2 calls:

199.0ms	(- (* z t) (pow (* (* i c) (fma c b a)) 1))
57.0ms	(* (* i c) (fma c b a))

simplify2.3s

Counts

48 → 48

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	115	998
1	301	731
2	1990	599
done	5002	554

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize48.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (fma c b a))
1.2b	(cbrt (fma c b a))
1.2b	(* (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c)) (cbrt (fma c b a)))
3.5b	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

2.0ms	(cbrt (fma c b a))
2.0ms	(cbrt (fma c b a))
171.0ms	(* (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c)) (cbrt (fma c b a)))
62.0ms	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c))

series785.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (fma c b a))
194.0ms	(cbrt (fma c b a))
103.0ms	(* (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c)) (cbrt (fma c b a)))
318.0ms	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c))

simplify1.5s

Counts

94 → 94

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	130	1695
1	358	1622
2	1762	1164
done	5001	1023

prune636.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize44.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (fma c b a))
1.2b	(cbrt (fma c b a))
1.2b	(cbrt (fma c b a))
3.5b	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (fma c b a))
2.0ms	(cbrt (fma c b a))
2.0ms	(cbrt (fma c b a))
87.0ms	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c))

series937.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (fma c b a))
191.0ms	(cbrt (fma c b a))
181.0ms	(cbrt (fma c b a))
415.0ms	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* i c))

simplify2.6s

Counts

75 → 75

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	98	973
1	253	926
2	827	781
3	4196	752
done	5001	736

prune465.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.7b

regimes496.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	19
1	24	17
done	24	17

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.9s

15137×

body

valid