Details

sample56.0ms

Algorithm

intervals

Results

34.0ms

292×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	422
10	422
9	421
8	405
7	360
6	305
5	230
4	152
3	73
2	30
1	15
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)

rewrite426.0ms

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×	`flip3--` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

161.0ms	(* (- x (/ 16.0 116.0)) 3.0)
242.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series304.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(* (- x (/ 16.0 116.0)) 3.0)
138.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify9.7s

Counts

49 → 49

Iterations

Iter	Nodes
done	5008
3	2651
2	639
1	205
0	84

prune588.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

17.0ms	(- (* 3.0 x) 0.41379310344827586)
59.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

series203.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (* 3.0 x) 0.41379310344827586)
115.0ms	(* (- (* 3.0 x) 0.41379310344827586) y)

simplify8.0s

Counts

38 → 38

Iterations

Iter	Nodes
done	5011
3	1381
2	372
1	136
0	57

prune704.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite250.0ms

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×	`flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

225.0ms

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

series129.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

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

simplify6.4s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1995
2	522
1	161
0	62

prune203.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize157.0ms

Local error

Found 4 expressions with local error:

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

rewrite405.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 87

Calls

4 calls:

13.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
13.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
27.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
306.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

series1.8s

Counts

4 → 12

Calls

4 calls:

446.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
525.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
473.0ms	(cbrt (- (* 3.0 x) 0.41379310344827586))
314.0ms	(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

simplify11.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5022
3	4407
2	1356
1	498
0	178

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes347.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

634.0ms

9117×

body

valid