Details

analyze65.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample15.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify470.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	28	10
1	28	10

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)
0.0b	(+.f64 (*.f64 x y) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64_1652`
4×	`*-un-lft-identity_binary64_1687` `sum-log_binary64_1597`
2×	`add-sqr-sqrt_binary64_1672` `add-cube-cbrt_binary64_1658` `+-commutative_binary64_1754` `pow1_binary64_1629` `flip3-+_binary64_1685` `add-cbrt-cube_binary64_1659` `flip-+_binary64_1712` `add-exp-log_binary64_1651`
1×	`distribute-lft-out_binary64_1731` `associate-+l+_binary64_1739`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
6.0ms	(+.f64 (*.f64 x y) x)

series235.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
117.0ms	(+.f64 (*.f64 x y) x)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	88	2413
1	88	2413
0	11	2223
1	11	2223
0	88	2413
1	88	2413
0	11	2223
1	11	2223
0	1	3
1	1	3
0	97	2486
1	97	2486
0	11	2250
1	11	2250
0	97	2486
1	97	2486
0	11	2250
1	11	2250
0	1	3
1	1	3

simplify109.0ms

Counts

31 → 31

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5027	349

prune19.0ms

Filtered

24 candidates to 31 candidates (-29.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1654`
23×	`add-sqr-sqrt_binary64_1672`
18×	`cbrt-div_binary64_1655`
15×	`add-cube-cbrt_binary64_1658` `*-un-lft-identity_binary64_1687`
11×	`pow1_binary64_1629`
9×	`flip3-+_binary64_1685` `flip-+_binary64_1712` `pow1/3_binary64_1621`
6×	`swap-sqr_binary64_1714` `add-exp-log_binary64_1651` `associate-r_binary64_1746` `associate-l_binary64_1747`
4×	`unswap-sqr_binary64_1715` `add-log-exp_binary64_1652` `add-cbrt-cube_binary64_1659` `frac-times_binary64_1679`
2×	`associate-r/_binary64_1748` `pow-prod-up_binary64_1609` `associate-l/_binary64_1749` `pow-prod-down_binary64_1610` `pow-sqr_binary64_1720`
1×	`prod-exp_binary64_1634` `pow-plus_binary64_1624` `*-commutative_binary64_1755` `pow2_binary64_1620` `cbrt-unprod_binary64_1656`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

277.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
254.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
257.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
261.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	1	3
1	1	3
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	1	3
1	1	3
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	1	3
1	1	3
0	66	2808
1	66	2808
0	711	2682
1	711	2682
0	66	2808
1	66	2808
0	711	2682
1	711	2682
0	1	3
1	1	3

simplify137.0ms

Counts

99 → 99

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4951	1573
1	4951	1573

prune65.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x y)))) 4)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1654`
11×	`add-sqr-sqrt_binary64_1672` `add-cube-cbrt_binary64_1658` `*-un-lft-identity_binary64_1687`
9×	`unpow-prod-down_binary64_1618`
6×	`cbrt-div_binary64_1655`
5×	`pow1_binary64_1629` `add-exp-log_binary64_1651`
4×	`add-log-exp_binary64_1652` `add-cbrt-cube_binary64_1659` `pow1/3_binary64_1621`
3×	`flip3-+_binary64_1685` `pow-unpow_binary64_1616` `flip-+_binary64_1712`
2×	`pow-pow_binary64_1611`
1×	`sqr-pow_binary64_1719` `pow-exp_binary64_1607` `pow-to-exp_binary64_1608`

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x y)))) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
259.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
255.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
267.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (*.f64 x y)))) 4)

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	82	2682
1	82	2682
0	5222	2610
0	82	2682
1	82	2682
0	5222	2610
0	1	3
1	1	3
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	1	3
1	1	3
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	1	3
1	1	3
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	54	2637
1	54	2637
0	659	2565
1	659	2565
0	1	3
1	1	3

simplify125.0ms

Counts

75 → 75

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4760	1064
1	4760	1064

prune67.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Merged error: 0.0b

Counts

80 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
1.9b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
8.9b	(.f64 x (.f64 y y))
24.2b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1659` `add-exp-log_binary64_1651`
12×	`add-sqr-sqrt_binary64_1672`
11×	`pow1_binary64_1629` `*-un-lft-identity_binary64_1687`
9×	`add-cube-cbrt_binary64_1658`
6×	`add-log-exp_binary64_1652` `associate-l_binary64_1747`
5×	`prod-exp_binary64_1634` `cbrt-unprod_binary64_1656`
4×	`associate-r/_binary64_1748` `pow-prod-down_binary64_1610` `associate-r*_binary64_1746`
3×	`flip--_binary64_1713` `times-frac_binary64_1682` `flip3--_binary64_1686` `associate-/r*_binary64_1750`
2×	`unswap-sqr_binary64_1715` `div-exp_binary64_1636` `cbrt-undiv_binary64_1657` `*-commutative_binary64_1755` `associate-/l/_binary64_1753` `associate-/r/_binary64_1752` `sub-neg_binary64_1691`
1×	`distribute-rgt-in_binary64_1730` `distribute-lft-out_binary64_1731` `associate-/l*_binary64_1751` `distribute-lft-in_binary64_1729` `+-commutative_binary64_1754` `flip3-+_binary64_1685` `flip-+_binary64_1712` `clear-num_binary64_1690` `sum-log_binary64_1597` `div-inv_binary64_1688` `frac-2neg_binary64_1680`

Counts

4 → 78

Calls

4 calls:

21.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
12.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
7.0ms	(.f64 x (.f64 y y))
16.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

series935.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
347.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
128.0ms	(.f64 x (.f64 y y))
199.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	176	2850
1	176	2850
0	4884	2631
1	4884	2631
0	176	2850
1	176	2850
0	4884	2631
1	4884	2631
0	1	3
1	1	3
0	90	2464
1	90	2464
0	15	2223
1	15	2223
0	90	2464
1	90	2464
0	15	2223
1	15	2223
0	1	3
1	1	3
0	114	2649
1	114	2649
0	4866	2325
1	4866	2325
0	114	2649
1	114	2649
0	4866	2325
1	4866	2325
0	1	3
1	1	3
0	167	2901
1	167	2901
0	4809	2649
1	4809	2649
0	167	2901
1	167	2901
0	4809	2649
1	4809	2649
0	1	3
1	1	3

simplify100.0ms

Counts

90 → 90

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4933	1484
1	4933	1484

prune56.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	90	5	95

Merged error: 0b

Counts

95 → 5

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms

sample300.0ms

Algorithm

intervals

Results

171.0ms	7997×	body	80	valid
2.0ms	78×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

Details

analyze65.0ms

sample15.0ms

simplify470.0ms

prune2.0ms

localize5.0ms

rewrite15.0ms

series235.0ms

simplify109.0ms

prune19.0ms

localize9.0ms

rewrite24.0ms

series1.1s

simplify137.0ms

prune65.0ms

localize15.0ms

rewrite18.0ms

series1.0s

simplify125.0ms

prune67.0ms

localize11.0ms

rewrite59.0ms

series935.0ms

simplify100.0ms

prune56.0ms

regimes39.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample300.0ms

Profiling