Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

300×

body

valid

simplify1.1s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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)

rewrite135.0ms

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:

73.0ms	(* (- x (/ 16.0 116.0)) 3.0)
59.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- x (/ 16.0 116.0)) 3.0)
46.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.6s

Counts

53 → 53

Iterations

Useful iterations: 2 (172.0ms)

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

prune159.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

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:

83.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify2.1s

Counts

28 → 28

Iterations

Useful iterations: 2 (139.0ms)

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

prune96.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite17.0ms

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:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

366.0ms	(* (cbrt y) (cbrt y))
308.0ms	(cbrt y)
261.0ms	(cbrt y)
325.0ms	(cbrt y)

simplify5.2s

Counts

93 → 93

Iterations

Useful iterations: done (5.2s)

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

prune315.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize19.0ms

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)))

rewrite168.0ms

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:

97.0ms	(* (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)))
21.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
26.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series883.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
224.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
192.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
190.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify964.0ms

Counts

92 → 92

Iterations

Useful iterations: done (959.0ms)

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

prune461.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample858.0ms

Algorithm

intervals

Results

466.0ms

9146×

body

valid