Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

321×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	32	8
3	73	8
4	172	8
5	289	8
6	397	8
7	471	8
8	525	8
9	941	8
10	4366	8
done	5000	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (* 6.0 z) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma (- y x) (* 6.0 z) x)

simplify3.7s

Counts

13 → 13

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	108	135
3	404	123
4	3924	123
done	5000	123

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(fma (* (- y x) 6.0) z x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

39.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (- y x) 6.0) z x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* (- y x) 6.0)
57.0ms	(fma (* (- y x) 6.0) z x)

simplify688.0ms

Counts

40 → 40

Iterations

Useful iterations: done (686.0ms)

Iter	Nodes	Cost
0	68	357
1	149	345
2	532	311
done	5000	297

prune131.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ (* 6.0 (* (- y x) z)) x)
0.3b	(* 6.0 (* (- y x) z))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`-un-lft-identity` `associate-l*`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

23.0ms	(* (- y x) z)
50.0ms	(+ (* 6.0 (* (- y x) z)) x)
37.0ms	(* 6.0 (* (- y x) z))

series152.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (- y x) z)
59.0ms	(+ (* 6.0 (* (- y x) z)) x)
42.0ms	(* 6.0 (* (- y x) z))

simplify639.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	100	685
1	256	640
2	1002	556
done	5002	556

prune192.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ (* (sqrt 6.0) (* (sqrt 6.0) (* (- y x) z))) x)
0.6b	(* (sqrt 6.0) (* (sqrt 6.0) (* (- y x) z)))
0.6b	(* (sqrt 6.0) (* (- y x) z))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-l`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r/` `associate-l/` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

22.0ms	(* (- y x) z)
84.0ms	(+ (* (sqrt 6.0) (* (sqrt 6.0) (* (- y x) z))) x)
119.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (* (- y x) z)))
39.0ms	(* (sqrt 6.0) (* (- y x) z))

series819.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- y x) z)
170.0ms	(+ (* (sqrt 6.0) (* (sqrt 6.0) (* (- y x) z))) x)
476.0ms	(* (sqrt 6.0) (* (sqrt 6.0) (* (- y x) z)))
141.0ms	(* (sqrt 6.0) (* (- y x) z))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	134	1305
1	343	1037
2	1610	889
done	5000	860

prune289.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample892.0ms

Algorithm

intervals

Results

405.0ms

10121×

body

valid