Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

311×

body

valid

simplify567.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	455
10	455
9	454
8	438
7	393
6	337
5	254
4	168
3	75
2	30
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.1b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `log1p-expm1-u` `div-inv` `flip--`
2×	`*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

11.0ms	(- x (/ 16.0 116.0))
40.0ms	(* (- x (/ 16.0 116.0)) 3.0)
56.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series141.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- x (/ 16.0 116.0))
61.0ms	(* (- x (/ 16.0 116.0)) 3.0)
51.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.8s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
3	4339
2	1462
1	529
0	217

prune550.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`prod-diff`
38×	`add-cube-cbrt`
29×	`times-frac`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `log1p-expm1-u` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 84

Calls

2 calls:

20.0ms	(- x (/ 16.0 116.0))
69.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series79.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- x (/ 16.0 116.0))
43.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	4226
2	1373
1	487
0	194

prune357.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 16.0 (cbrt 116.0))
1.0b	(/ 16.0 (cbrt 116.0))
1.0b	(/ 16.0 (cbrt 116.0))
61.9b	(fma (- (/ 16.0 (cbrt 116.0))) (/ 1 (* (cbrt 116.0) (cbrt 116.0))) (* (/ 16.0 (cbrt 116.0)) (/ 1 (* (cbrt 116.0) (cbrt 116.0)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
18×	`associate-/r*`
10×	`add-exp-log`
9×	`associate-/l*`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`fma-udef`

Counts

4 → 133

Calls

4 calls:

4.0ms	(/ 16.0 (cbrt 116.0))
4.0ms	(/ 16.0 (cbrt 116.0))
8.0ms	(/ 16.0 (cbrt 116.0))
1.0ms	(fma (- (/ 16.0 (cbrt 116.0))) (/ 1 (* (cbrt 116.0) (cbrt 116.0))) (* (/ 16.0 (cbrt 116.0)) (/ 1 (* (cbrt 116.0) (cbrt 116.0)))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ 16.0 (cbrt 116.0))
0.0ms	(/ 16.0 (cbrt 116.0))
0.0ms	(/ 16.0 (cbrt 116.0))
0.0ms	(fma (- (/ 16.0 (cbrt 116.0))) (/ 1 (* (cbrt 116.0) (cbrt 116.0))) (* (/ 16.0 (cbrt 116.0)) (/ 1 (* (cbrt 116.0) (cbrt 116.0)))))

simplify3.7s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
4	1811
3	706
2	303
1	140
0	85

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

44.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
20.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
22.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
11.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series786.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
181.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
173.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
171.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify2.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4318
2	1272
1	452
0	176

prune575.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes317.0ms

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	11
1	11
0	9

end0.0ms

sample686.0ms

Algorithm

intervals

Results

461.0ms

9158×

body

valid