Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify411.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	30	9
3	64	9
4	119	9
5	187	9
6	273	9
7	338	9
8	381	9
9	400	9
10	403	9
done	403	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite55.0ms

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:

26.0ms	(* (- x (/ 16.0 116.0)) 3.0)
28.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series95.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (- x (/ 16.0 116.0)) 3.0)
44.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.8s

Counts

53 → 53

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	88	576
1	210	568
2	780	480
3	3372	480
done	5001	480

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

27.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify775.0ms

Counts

28 → 28

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	64	342
1	166	339
2	535	279
3	1991	279
done	5000	279

prune65.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
11.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
145.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
149.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
191.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))

simplify598.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	176	1868
1	437	1682
2	1610	1550
done	5001	1550

prune356.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series876.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt y) (cbrt y))
221.0ms	(cbrt y)
210.0ms	(cbrt y)
212.0ms	(cbrt y)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (325.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune255.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample373.0ms

Algorithm

intervals

Results

217.0ms

9094×

body

valid