Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

300×

body

valid

simplify754.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	31	9
3	71	9
4	136	9
5	209	9
6	276	9
7	340	9
8	377	9
9	382	9
done	382	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite168.0ms

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:

57.0ms	(* (- x (/ 16.0 116.0)) 3.0)
109.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series135.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(* (- x (/ 16.0 116.0)) 3.0)
75.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.6s

Counts

49 → 49

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	84	540
1	197	532
2	690	444
3	2788	444
done	5002	444

prune106.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

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:

70.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify1.8s

Counts

26 → 26

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	62	322
1	161	319
2	543	259
3	2249	259
done	5001	259

prune81.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite40.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

31.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

371.0ms	(* (cbrt y) (cbrt y))
292.0ms	(cbrt y)
290.0ms	(cbrt y)
337.0ms	(cbrt y)

simplify5.2s

Counts

85 → 85

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune718.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite174.0ms

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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 72

Calls

4 calls:

74.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
31.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
22.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
43.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series839.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
205.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
161.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
182.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify3.0s

Counts

84 → 84

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	192	2309
1	482	2138
2	1340	1972
3	4707	1635
done	5001	1557

prune325.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample784.0ms

Algorithm

intervals

Results

469.0ms

9146×

body

valid