Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

300×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	31	9
3	73	9
4	150	9
5	231	9
6	309	9
7	379	9
8	430	9
9	443	9
10	446	9
done	446	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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)

rewrite156.0ms

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:

74.0ms	(* (- x (/ 16.0 116.0)) 3.0)
79.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series144.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(* (- x (/ 16.0 116.0)) 3.0)
59.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.5s

Counts

53 → 53

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	88	576
1	204	568
2	709	480
3	2879	480
done	5000	480

prune117.0ms

Pruning

9 alts after pruning (8 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))

rewrite70.0ms

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:

69.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.8s

Counts

28 → 28

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	64	342
1	165	339
2	559	279
3	2356	279
done	5002	279

prune92.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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)

rewrite36.0ms

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:

26.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

351.0ms	(* (cbrt y) (cbrt y))
336.0ms	(cbrt y)
286.0ms	(cbrt y)
285.0ms	(cbrt y)

simplify5.0s

Counts

93 → 93

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune405.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize26.0ms

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)))

rewrite417.0ms

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:

335.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
21.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
29.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
29.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
221.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
187.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
193.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify1.0s

Counts

92 → 92

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	196	2419
1	503	2225
2	1447	2055
done	5001	1752

prune404.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes189.0ms

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

sample705.0ms

Algorithm

intervals

Results

433.0ms

9146×

body

valid