Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

373×

body

valid

simplify263.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	251
6	251
5	248
4	206
3	140
2	67
1	26
0	13

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
5.1b	(* (* a z) b)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

115.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ (+ x (* y z)) (* t a))
9.0ms	(+ x (* y z))
29.0ms	(* (* a z) b)

series308.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
92.0ms	(+ (+ x (* y z)) (* t a))
40.0ms	(+ x (* y z))
54.0ms	(* (* a z) b)

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2267
1	367
0	123

prune589.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
119.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
41.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt b)
285.0ms	(cbrt b)
87.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
137.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify2.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1723
1	283
0	102

prune556.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt b))
0.6b	(cbrt (cbrt b))
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
4.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

85×	`pow1` `add-exp-log`
62×	`pow-prod-down` `prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
18×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r` `associate-l` `*-commutative`

Counts

4 → 113

Calls

4 calls:

2.0ms	(cbrt (cbrt b))
2.0ms	(cbrt (cbrt b))
204.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
36.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series1.0s

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt (cbrt b))
447.0ms	(cbrt (cbrt b))
66.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
160.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify1.4s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1912
1	413
0	140

prune705.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* (fma b z t) a))
0.0b	(+ x (* y z))
3.0b	(* (fma b z t) a)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

23.0ms	(+ (+ x (* y z)) (* (fma b z t) a))
6.0ms	(+ x (* y z))
14.0ms	(* (fma b z t) a)

series219.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (+ x (* y z)) (* (fma b z t) a))
41.0ms	(+ x (* y z))
74.0ms	(* (fma b z t) a)

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	1316
1	243
0	92

prune451.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes709.0ms

Accuracy

74.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.0b

bsearch148.0ms

Steps

Iters	Range		Point
7	9.345563708831118e-74	3.6929333590207295e-72	1.3894886297241432e-73
10	-3.76194415417031e+113	-5.057691904221478e+99	-2.711362632576515e+101

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

954.0ms

11840×

body

valid