Details

sample134.0ms

Algorithm

intervals

Results

50.0ms	620×	body	80	valid
39.0ms	655×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1994
6	634
5	224
4	105
3	65
2	37
1	17
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (log y) y (- x z))
0.1b	(exp (fma (log y) y (- x z)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`exp-sum` `rem-exp-log`

Counts

2 → 26

Calls

2 calls:

0.0ms	(fma (log y) y (- x z))
2.0ms	(exp (fma (log y) y (- x z)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma (log y) y (- x z))
35.0ms	(exp (fma (log y) y (- x z)))

simplify2.2s

Counts

32 → 32

Iterations

Iter	Nodes
done	5011
4	2536
3	507
2	183
1	100
0	52

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (log y) y (- x z))
0.1b	(exp (fma (log y) y (- x z)))
0.1b	(expm1 (log1p (exp (fma (log y) y (- x z)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`fma-udef`
1×	`expm1-log1p` `exp-sum` `expm1-udef` `rem-exp-log`

Counts

3 → 38

Calls

3 calls:

0.0ms	(fma (log y) y (- x z))
3.0ms	(exp (fma (log y) y (- x z)))
0.0ms	(expm1 (log1p (exp (fma (log y) y (- x z)))))

series149.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(fma (log y) y (- x z))
37.0ms	(exp (fma (log y) y (- x z)))
65.0ms	(expm1 (log1p (exp (fma (log y) y (- x z)))))

simplify2.0s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	4532
3	782
2	235
1	118
0	64

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log y) y (- x z))
0.0b	(cbrt (exp (* 3 (fma (log y) y (- x z)))))
0.1b	(* 3 (fma (log y) y (- x z)))
0.1b	(exp (* 3 (fma (log y) y (- x z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (log y) y (- x z))
4.0ms	(cbrt (exp (* 3 (fma (log y) y (- x z)))))
11.0ms	(* 3 (fma (log y) y (- x z)))
4.0ms	(exp (* 3 (fma (log y) y (- x z))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (log y) y (- x z))
55.0ms	(cbrt (exp (* 3 (fma (log y) y (- x z)))))
75.0ms	(* 3 (fma (log y) y (- x z)))
51.0ms	(exp (* 3 (fma (log y) y (- x z))))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5017
3	2249
2	595
1	246
0	112

prune373.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log y) y (- x z))
0.1b	(pow (exp (* 3 (fma (log y) y (- x z)))) 1/3)
0.1b	(* 3 (fma (log y) y (- x z)))
0.1b	(exp (* 3 (fma (log y) y (- x z))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `fma-udef` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-down`
4×	`expm1-log1p-u` `exp-sum` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `pow-unpow` `pow-pow` `distribute-lft-in` `associate-r` `associate-l`
2×	`exp-prod` `exp-to-pow`
1×	`pow-to-exp` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow` `rem-exp-log`

Counts

4 → 74

Calls

4 calls:

0.0ms	(fma (log y) y (- x z))
12.0ms	(pow (exp (* 3 (fma (log y) y (- x z)))) 1/3)
16.0ms	(* 3 (fma (log y) y (- x z)))
7.0ms	(exp (* 3 (fma (log y) y (- x z))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (log y) y (- x z))
56.0ms	(pow (exp (* 3 (fma (log y) y (- x z)))) 1/3)
55.0ms	(* 3 (fma (log y) y (- x z)))
44.0ms	(exp (* 3 (fma (log y) y (- x z))))

simplify1.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5024
3	2964
2	915
1	343
0	129

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.8s	18929×	body	80	nan
1.4s	18878×	body	80	valid