Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

292×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	453
10	453
9	452
8	436
7	391
6	336
5	252
4	166
3	75
2	30
1	15
0	9

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

82.0ms	(* (- x (/ 16.0 116.0)) 3.0)
198.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series306.0ms

Counts

2 → 6

Calls

2 calls:

235.0ms	(* (- x (/ 16.0 116.0)) 3.0)
71.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify10.1s

Counts

53 → 53

Iterations

Iter	Nodes
done	5002
3	2720
2	656
1	212
0	88

prune750.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.2b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

18.0ms	(- (* 3.0 x) 0.41379310344827586)
65.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series431.0ms

Counts

2 → 6

Calls

2 calls:

166.0ms	(- (* 3.0 x) 0.41379310344827586)
264.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify5.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5033
3	1790
2	568
1	230
0	93

prune525.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

305.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series150.0ms

Counts

1 → 3

Calls

1 calls:

143.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify4.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	2099
2	533
1	165
0	64

prune218.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586)))) (cbrt (- (* 3.0 x) 0.41379310344827586)))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b	(cbrt (- (* 3.0 x) 0.41379310344827586))

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

616.0ms	(* (* y (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586)))) (cbrt (- (* 3.0 x) 0.41379310344827586)))
21.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
14.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
14.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))

series1.1s

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (* y (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586)))) (cbrt (- (* 3.0 x) 0.41379310344827586)))
506.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
241.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
238.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))

simplify4.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1648
1	525
0	193

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes727.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end13.0ms

sample2.9s

Algorithm

intervals

Results

2.5s

9117×

body

valid